NCERT Solutions for Class 4 Maths Chapter 10 Elephants Tigers and Leopards – step-by-step answers to every exercise and in-text question of the chapter, as per the latest NCERT syllabus for 2027. Read them online or download the free question-answer PDF.
This chapter counts India’s wild animals. We play the NIM game, read an addition chart, and then add and subtract four-digit numbers using the real numbers of elephants, tigers and leopards in our states.
NCERT Solutions for Class 4 Maths Chapter 10 Elephants Tigers and Leopards PDF
All the answers are on this page below. The PDF also explains every answer – why it is right and how to check it – so download it for revision.
NCERT Solutions for Class 4 Maths Chapter 10 Elephants Tigers and Leopards – Questions and Answers
All 60 questions of the chapter (textbook pages 149 – 163) are answered below, in the order of the book – in-text questions, activities and the end-of-chapter exercises. Each answer is written the way you would write it in the exam.
NIM Game (2 Player Game) — Page 149How to play and who wins
Try This
Q1Can you win the game if the other player has reached the total of 6 and it is your turn?
Answer
Yes, you can win. Add 1 to make the total 7.
From 7 the other player can make only 8 or 9. From 8, you add 2 → 10. From 9, you add 1 → 10.
You reach 10 first, so you win.
Q2Can you win the game if the other player has reached the total of 7 and it is your turn?
Answer
No — not if the other player plays well.
You may add only 1 or 2. You make 8 → the other player adds 2 → 10 You make 9 → the other player adds 1 → 10
The other player reaches 10 first and wins.
Q3Can you win the game if the other player has reached the total of 8 and it is your turn?
Answer
Yes, you win in one move.
8 + 2 = 10
Add 2 and you reach 10 first.
Q4Play the game to reach other target numbers (like 10, 11, or 12) by adding 1 or 2 each time. Can you find a number in each case when you are sure that you can win?
Answer
Yes. Count back from the target in 3s. These are the safe numbers:
Target
Safe numbers to say
10
1, 4, 7
11
2, 5, 8
12
3, 6, 9
If you say a safe number (like 7 when the target is 10), you are sure to win.
Addition Chart — Page 150Reading patterns in the addition table
Math Talk
Q1Look at the table given below and discuss how the table is made.
+
0
1
2
3
4
5
6
7
8
9
10
11
12
0
0
1
2
3
4
5
6
7
8
9
10
11
12
1
1
2
3
4
5
6
7
8
9
10
11
12
13
2
2
3
4
5
6
7
8
9
10
11
12
13
14
3
3
4
5
6
7
8
9
10
11
12
13
14
15
4
4
5
6
7
8
9
10
11
12
13
14
15
16
5
5
6
7
8
9
10
11
12
13
14
15
16
17
6
6
7
8
9
10
11
12
13
14
15
16
17
18
7
7
8
9
10
11
12
13
14
15
16
17
18
19
8
8
9
10
11
12
13
14
15
16
17
18
19
20
9
9
10
11
12
13
14
15
16
17
18
19
20
21
10
10
11
12
13
14
15
16
17
18
19
20
21
22
11
11
12
13
14
15
16
17
18
19
20
21
22
23
12
12
13
14
15
16
17
18
19
20
21
22
23
24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue window frame.
Answer
Each box = row number + column number.
The box in row 6 and column 5
= 6 + 5 = 11
The number on the left of a row and the number on top of a column are added. The + sign in the corner tells us this.
Q2Identify some patterns in the table.
+
0
1
2
3
4
5
6
7
8
9
10
11
12
0
0
1
2
3
4
5
6
7
8
9
10
11
12
1
1
2
3
4
5
6
7
8
9
10
11
12
13
2
2
3
4
5
6
7
8
9
10
11
12
13
14
3
3
4
5
6
7
8
9
10
11
12
13
14
15
4
4
5
6
7
8
9
10
11
12
13
14
15
16
5
5
6
7
8
9
10
11
12
13
14
15
16
17
6
6
7
8
9
10
11
12
13
14
15
16
17
18
7
7
8
9
10
11
12
13
14
15
16
17
18
19
8
8
9
10
11
12
13
14
15
16
17
18
19
20
9
9
10
11
12
13
14
15
16
17
18
19
20
21
10
10
11
12
13
14
15
16
17
18
19
20
21
22
11
11
12
13
14
15
16
17
18
19
20
21
22
23
12
12
13
14
15
16
17
18
19
20
21
22
23
24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue window frame.
Answer
Some patterns:
Going right, the numbers go up by 1.
Going down, the numbers go up by 1.
Along each slanting line (↙) the number stays the same.
The chart is the same on both sides of the diagonal from 0 to 24 (6 + 5 = 5 + 6).
Q3Observe the cells where the number 9 appears in the table. How many times do you see number 9? What about other numbers?
+
0
1
2
3
4
5
6
7
8
9
10
11
12
0
0
1
2
3
4
5
6
7
8
9
10
11
12
1
1
2
3
4
5
6
7
8
9
10
11
12
13
2
2
3
4
5
6
7
8
9
10
11
12
13
14
3
3
4
5
6
7
8
9
10
11
12
13
14
15
4
4
5
6
7
8
9
10
11
12
13
14
15
16
5
5
6
7
8
9
10
11
12
13
14
15
16
17
6
6
7
8
9
10
11
12
13
14
15
16
17
18
7
7
8
9
10
11
12
13
14
15
16
17
18
19
8
8
9
10
11
12
13
14
15
16
17
18
19
20
9
9
10
11
12
13
14
15
16
17
18
19
20
21
10
10
11
12
13
14
15
16
17
18
19
20
21
22
11
11
12
13
14
15
16
17
18
19
20
21
22
23
12
12
13
14
15
16
17
18
19
20
21
22
23
24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue window frame.
Answer
9 appears 10 times.
0 + 9, 1 + 8, 2 + 7, …, 8 + 1, 9 + 0 → 10 boxes, all on one slanting line.
Other numbers:
Number
How many times
0
1
5
6
9
10
12
13 (the most)
18
7
24
1
Q4Are there any rows or columns that contain only even numbers or only odd numbers? Explain your observation.
+
0
1
2
3
4
5
6
7
8
9
10
11
12
0
0
1
2
3
4
5
6
7
8
9
10
11
12
1
1
2
3
4
5
6
7
8
9
10
11
12
13
2
2
3
4
5
6
7
8
9
10
11
12
13
14
3
3
4
5
6
7
8
9
10
11
12
13
14
15
4
4
5
6
7
8
9
10
11
12
13
14
15
16
5
5
6
7
8
9
10
11
12
13
14
15
16
17
6
6
7
8
9
10
11
12
13
14
15
16
17
18
7
7
8
9
10
11
12
13
14
15
16
17
18
19
8
8
9
10
11
12
13
14
15
16
17
18
19
20
9
9
10
11
12
13
14
15
16
17
18
19
20
21
10
10
11
12
13
14
15
16
17
18
19
20
21
22
11
11
12
13
14
15
16
17
18
19
20
21
22
23
12
12
13
14
15
16
17
18
19
20
21
22
23
24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue window frame.
Answer
No. No row or column has only even or only odd numbers.
Row 3 → 3, 4, 5, 6, 7, … odd, even, odd, even, … one after the other
Every row and every column goes up by 1, so odd and even numbers take turns.
Q5Look at the window frame highlighted in red colour in the table. Find the sum of the two numbers in each row.
+
0
1
2
3
4
5
6
7
8
9
10
11
12
0
0
1
2
3
4
5
6
7
8
9
10
11
12
1
1
2
3
4
5
6
7
8
9
10
11
12
13
2
2
3
4
5
6
7
8
9
10
11
12
13
14
3
3
4
5
6
7
8
9
10
11
12
13
14
15
4
4
5
6
7
8
9
10
11
12
13
14
15
16
5
5
6
7
8
9
10
11
12
13
14
15
16
17
6
6
7
8
9
10
11
12
13
14
15
16
17
18
7
7
8
9
10
11
12
13
14
15
16
17
18
19
8
8
9
10
11
12
13
14
15
16
17
18
19
20
9
9
10
11
12
13
14
15
16
17
18
19
20
21
10
10
11
12
13
14
15
16
17
18
19
20
21
22
11
11
12
13
14
15
16
17
18
19
20
21
22
23
12
12
13
14
15
16
17
18
19
20
21
22
23
24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue window frame.
Answer
The red window holds four numbers.
10 11 11 12
Top row: 10 + 11 = 21
Bottom row: 11 + 12 = 23
Q6Find the sum of the two numbers in each column. What do you notice?
+
0
1
2
3
4
5
6
7
8
9
10
11
12
0
0
1
2
3
4
5
6
7
8
9
10
11
12
1
1
2
3
4
5
6
7
8
9
10
11
12
13
2
2
3
4
5
6
7
8
9
10
11
12
13
14
3
3
4
5
6
7
8
9
10
11
12
13
14
15
4
4
5
6
7
8
9
10
11
12
13
14
15
16
5
5
6
7
8
9
10
11
12
13
14
15
16
17
6
6
7
8
9
10
11
12
13
14
15
16
17
18
7
7
8
9
10
11
12
13
14
15
16
17
18
19
8
8
9
10
11
12
13
14
15
16
17
18
19
20
9
9
10
11
12
13
14
15
16
17
18
19
20
21
10
10
11
12
13
14
15
16
17
18
19
20
21
22
11
11
12
13
14
15
16
17
18
19
20
21
22
23
12
12
13
14
15
16
17
18
19
20
21
22
23
24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue window frame.
Answer
Left column: 10 + 11 = 21
Right column: 11 + 12 = 23
They are the same two sums as the rows — 21 and 23.
Q7Now, find the sum of the numbers in each of the two diagonals marked by arrows. What do you notice?
+
0
1
2
3
4
5
6
7
8
9
10
11
12
0
0
1
2
3
4
5
6
7
8
9
10
11
12
1
1
2
3
4
5
6
7
8
9
10
11
12
13
2
2
3
4
5
6
7
8
9
10
11
12
13
14
3
3
4
5
6
7
8
9
10
11
12
13
14
15
4
4
5
6
7
8
9
10
11
12
13
14
15
16
5
5
6
7
8
9
10
11
12
13
14
15
16
17
6
6
7
8
9
10
11
12
13
14
15
16
17
18
7
7
8
9
10
11
12
13
14
15
16
17
18
19
8
8
9
10
11
12
13
14
15
16
17
18
19
20
9
9
10
11
12
13
14
15
16
17
18
19
20
21
10
10
11
12
13
14
15
16
17
18
19
20
21
22
11
11
12
13
14
15
16
17
18
19
20
21
22
23
12
12
13
14
15
16
17
18
19
20
21
22
23
24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue window frame.
Answer
One slant: 10 + 12 = 22
Other slant: 11 + 11 = 22
Both slants give the same sum, 22.
Q8Now, put the red window frame in other places and find the sums as above. What do you notice?
+
0
1
2
3
4
5
6
7
8
9
10
11
12
0
0
1
2
3
4
5
6
7
8
9
10
11
12
1
1
2
3
4
5
6
7
8
9
10
11
12
13
2
2
3
4
5
6
7
8
9
10
11
12
13
14
3
3
4
5
6
7
8
9
10
11
12
13
14
15
4
4
5
6
7
8
9
10
11
12
13
14
15
16
5
5
6
7
8
9
10
11
12
13
14
15
16
17
6
6
7
8
9
10
11
12
13
14
15
16
17
18
7
7
8
9
10
11
12
13
14
15
16
17
18
19
8
8
9
10
11
12
13
14
15
16
17
18
19
20
9
9
10
11
12
13
14
15
16
17
18
19
20
21
10
10
11
12
13
14
15
16
17
18
19
20
21
22
11
11
12
13
14
15
16
17
18
19
20
21
22
23
12
12
13
14
15
16
17
18
19
20
21
22
23
24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue window frame.
Q3List down all numbers which when added to their reverse give i) 55 ii) 88
Answer
The two digits must add up to 5 for 55 (55 = 11 × 5) and to 8 for 88 (88 = 11 × 8).
i) 55: 14, 23, 32, 41, 50
ii) 88: 17, 26, 35, 44, 53, 62, 71, 80
Q4Can we get a 3-digit sum? What is the smallest 3-digit sum that we can get?
Answer
Yes, we can. The smallest 3-digit sum is 110.
Example: 19 + 91 = 110
Digits that add up to 9 give 99 (2 digits). Digits that add up to 10 give 110, the first 3-digit sum.
Fill in the Blanks with Appropriate Numbers — Page 151Number patterns on trees, gates and a number line
Q1Fill in the blanks with appropriate numbers. a) 2540, 2590, ____, ____, ____, ____Six trees in a row. Two of them already carry a number.
Answer
2540, 2590, 2640, 2690, 2740, 2790
The numbers go up by 50 each time (2590 − 2540 = 50).
The trees with every number filled in.
Q2Fill in the blanks with appropriate numbers. b) 354, 1354, ____, ____, ____, ____, ____Seven gates in a row. Two of them already carry a number.
Answer
354, 1354, 2354, 3354, 4354, 5354, 6354
The numbers go up by 1000 each time (1354 − 354 = 1000).
The gates with every number filled in.
Q3Fill in the blanks with appropriate numbers. c) 7645, 7670, ____, ____, 7745, ____, ____, ____A number line with eight boxes. Three boxes already carry a number.
Answer
7645, 7670, 7695, 7720, 7745, 7770, 7795, 7820
The numbers go up by 25 each time (7670 − 7645 = 25). Check: 7720 + 25 = 7745, the printed number.
The number line with every box filled in.
How Many Animals? — Page 152Adding four-digit numbers with carrying
Q1The population of elephants in Karnataka is 6049 and in Kerala is 3054. How many total elephants are there in these two states? Estimate the answer.
Answer
Estimate: 6000 + 3000 = about 9000 elephants.
Th
H
T
O
1
1
6
0
4
9
+ 3
0
5
4
9
1
0
3
Working in the place-value columns (the top row shows the carries, or the new digits after regrouping).
There are 9103 elephants in Karnataka and Kerala.
Q2The highest number of leopards are found in three states. Gujarat has 1355, Karnataka has 1131 and Madhya Pradesh has 1817. How many total leopards are there in these states? Estimate the answer.
Answer
Estimate: 1400 + 1100 + 1800 = about 4300 leopards.
Th
H
T
O
1
1
1
1
3
5
5
1
1
3
1
+ 1
8
1
7
4
3
0
3
Working in the place-value columns (the top row shows the carries, or the new digits after regrouping).
There are 4303 leopards in these three states.
Q3Maharashtra has 444 tigers. Madhya Pradesh has 341 more tigers than Maharashtra. Uttarakhand has 116 tigers more than Maharashtra. a) How many tigers does Madhya Pradesh have?
H
T
O
4
4
4
The blank frame printed in the book for part (a).
Answer
‘More than’ means we add: 444 + 341.
H
T
O
4
4
4
+ 3
4
1
7
8
5
Working in the place-value columns (the top row shows the carries, or the new digits after regrouping).
Madhya Pradesh has 785 tigers.
Q4b) How many tigers does Uttarakhand have?
H
T
O
4
4
4
The blank frame printed in the book for part (b).
Answer
Uttarakhand has 116 more than Maharashtra, so add: 444 + 116.
H
T
O
1
4
4
4
+ 1
1
6
5
6
0
Working in the place-value columns (the top row shows the carries, or the new digits after regrouping).
Uttarakhand has 560 tigers.
Q5c) How many tigers does Madhya Pradesh and Uttarakhand have?
Th
H
T
O
The blank four-column frame printed in the book for part (c).
Answer
Madhya Pradesh (785) + Uttarakhand (560):
Th
H
T
O
1
1
7
8
5
+
5
6
0
1
3
4
5
Working in the place-value columns (the top row shows the carries, or the new digits after regrouping).
Madhya Pradesh and Uttarakhand have 1345 tigers together.
Q6d) How many tigers are there in total across the three states?
Th
H
T
O
The blank four-column frame printed in the book for part (d).
Answer
Add all three states: Maharashtra 444, Madhya Pradesh 785, Uttarakhand 560.
Th
H
T
O
1
1
4
4
4
7
8
5
+
5
6
0
1
7
8
9
Working in the place-value columns (the top row shows the carries, or the new digits after regrouping).
There are 1789 tigers in the three states together.
More or Less? — Page 155Finding the smaller number by subtracting
Q1Assam has 5719 elephants. It has 3965 more elephants than Meghalaya. How many elephants are there in Meghalaya? Estimate the answer.Assam has 3965 more elephants than Meghalaya.
Answer
Estimate: 5700 − 4000 = about 1700 elephants.
Assam has more, so we subtract: 5719 − 3965.
Th
H
T
O
4
16
11
5
7
1
9
− 3
9
6
5
1
7
5
4
Working in the place-value columns (the top row shows the carries, or the new digits after regrouping).
There are 1754 elephants in Meghalaya.
Q2The population of leopards as per the 2022 census was 8820 in the Central India and the Eastern Ghats. It had increased by 749 in comparison to the number of leopards in 2018 in the same region. How many leopards were there in 2018? Estimate the answer.The number of leopards in 2018 went up by 749 to become 8820 in 2022.
Answer
Estimate: 8800 − 700 = about 8100 leopards.
The number went up by 749, so we go back: 8820 − 749.
Th
H
T
O
7
11
10
8
8
2
0
−
7
4
9
8
0
7
1
Working in the place-value columns (the top row shows the carries, or the new digits after regrouping).
8071 leopards were there in 2018.
In-text Questions — Page 156Writing the animal numbers on the map of India
Q1Write the number of animals on this map based on the data from the problems in the previous pages.The map of India from page 156. Three numbers are already printed; the other boxes are empty.
Answer
All the numbers come from pages 152 to 155.
Box on the map
Where it comes from
Number
Tigers — Uttarakhand
444 + 116
560
Tigers — Madhya Pradesh
444 + 341
785
No. of Tigers in these states (Maharashtra, Madhya Pradesh, Uttarakhand)
444 + 785 + 560
1789
Elephants — Meghalaya
5719 − 3965
1754
No. of Elephants in these states (Karnataka and Kerala)
6049 + 3054
9103
No. of Leopards in these states (Gujarat, Karnataka, Madhya Pradesh)
1355 + 1131 + 1817
4303
The same map with every box filled in.
Let Us Do — Page 157Visitors, juice bottles, vehicles and deposit slips
Try This
Q1The board in the ticket office in the Kaziranga National Park shows the following: a) How many more visitors came in December than in November?
Month
Number of visitors
December
8591
November
6415
October
?
The board at the ticket office of Kaziranga National Park.
Answer
‘How many more’ means we subtract: 8591 − 6415.
Th
H
T
O
8
11
8
5
9
1
− 6
4
1
5
2
1
7
6
Working in the place-value columns (the top row shows the carries, or the new digits after regrouping).
2176 more visitors came in December than in November.
Q2b) The number of visitors in November is 1587 more than October. How many visitors were there in October?
Month
Number of visitors
December
8591
November
6415
October
?
The board at the ticket office of Kaziranga National Park.
Answer
November had 1587 more than October, so October = 6415 − 1587.
Th
H
T
O
5
13
10
15
6
4
1
5
− 1
5
8
7
4
8
2
8
Working in the place-value columns (the top row shows the carries, or the new digits after regrouping).
4828 visitors came in October.
Q3In a juice making factory, women make different types of juices as given below: a) The number of bottles of guava juice is 759 more than the number of bottles of pineapple juice. Find the number of bottles of guava juice.
Type of juice
Number of bottles packed in a month
Pineapple
1348
Guava
Orange
Passion Fruit
4781
The juice factory table from page 157.
Answer
Guava has 759 more than pineapple (1348), so add: 1348 + 759.
Th
H
T
O
1
1
1
1
3
4
8
+
7
5
9
2
1
0
7
Working in the place-value columns (the top row shows the carries, or the new digits after regrouping).
2107 bottles of guava juice are packed in a month.
Q4b) The number of bottles of orange juice is 1257 more than the number of bottles of guava juice and 1417 less than the number of bottles of passion fruit juice. How many bottles of orange juice are made in a month?
Type of juice
Number of bottles packed in a month
Pineapple
1348
Guava
Orange
Passion Fruit
4781
The juice factory table from page 157.
Answer
Orange has 1257 more than guava (2107), so add: 2107 + 1257.
Th
H
T
O
1
2
1
0
7
+ 1
2
5
7
3
3
6
4
Working in the place-value columns (the top row shows the carries, or the new digits after regrouping).
3364 bottles of orange juice are made in a month.
Check with the second clue: 4781 − 1417 = 3364 ✔
Type of juice
Number of bottles packed in a month
Pineapple
1348
Guava
2107
Orange
3364
Passion Fruit
4781
The juice factory table from page 157.
Q5c) Is the total number of bottles of guava juice and orange juice more or less than the number of bottles of passion fruit juice? How much more or less?
Type of juice
Number of bottles packed in a month
Pineapple
1348
Guava
Orange
Passion Fruit
4781
The juice factory table from page 157.
Answer
Guava + orange = 2107 + 3364:
Th
H
T
O
1
2
1
0
7
+ 3
3
6
4
5
4
7
1
Working in the place-value columns (the top row shows the carries, or the new digits after regrouping).
5471 is more than 4781. How much more: 5471 − 4781.
Th
H
T
O
4
13
17
5
4
7
1
− 4
7
8
1
6
9
0
Working in the place-value columns (the top row shows the carries, or the new digits after regrouping).
Guava and orange together are more — 690 bottles more than passion fruit.
Q6In a small town, the following vehicles were registered in the year 2022. Find the number of vehicles as per the conditions given below. a) The number of buses is 253 more than the number of jeeps. How many buses are there in the town?The vehicle chart from page 158.
Answer
Buses are 253 more than jeeps (6304), so add: 6304 + 253.
Th
H
T
O
6
3
0
4
+
2
5
3
6
5
5
7
Working in the place-value columns (the top row shows the carries, or the new digits after regrouping).
There are 6557 buses in the town.
Q7b) The number of tractors is 5247 less than the number of buses. How many tractors are in the town?The vehicle chart from page 158.
Answer
Tractors are 5247 less than buses (6557), so subtract: 6557 − 5247.
Th
H
T
O
6
5
5
7
− 5
2
4
7
1
3
1
0
Working in the place-value columns (the top row shows the carries, or the new digits after regrouping).
There are 1310 tractors in the town.
Q8c) The number of taxis is 1579 more than the number of tractors? How many taxis are there?The vehicle chart from page 158.
Answer
Taxis are 1579 more than tractors (1310), so add: 1310 + 1579.
Th
H
T
O
1
3
1
0
+ 1
5
7
9
2
8
8
9
Working in the place-value columns (the top row shows the carries, or the new digits after regrouping).
There are 2889 taxis in the town.
The vehicle chart from page 158.
Q9d) Arrange the numbers of each type of vehicle from lowest to highest.The vehicle chart from page 158.
Q11The children in a school in Chittoor are planning to organise a Baal Mela in their school. Raju, Rani and Roja decided to raise some money to make arrangements for the mela. The money is available in notes of 500, 100, 50, 10 and coins of 5, 2 and 1. They decide to put the money in the School Panchayat Bank. Help each of the children fill the deposit slip given below. (Raju: ₹2045)
SPB — Deposit Slip
Name: Raju Amount (in numbers): ₹2045
Total Amount (in words): ______
Type of Note/ coin
No. of Notes/ coins
Amount
500
3
1500
100
3
300
50
2
10
14
5
1
2
0
1
0
Total
Deposit slip for Raju.
Answer
Amount = number of notes (or coins) × value of each.
SPB — Deposit Slip
Name: Raju Amount (in numbers): ₹2045
Total Amount (in words): Two thousand forty-five rupees
Type of Note/ coin
No. of Notes/ coins
Amount
500
3
1500
100
3
300
50
2
100
10
14
140
5
1
5
2
0
0
1
0
0
Total
23
₹2045
Deposit slip for Raju.
Total Amount (in words): Two thousand forty-five rupees.
Q12Can you guess a possible combination of notes they might have? Fill in the amounts appropriately. (Rani: ₹3578)
SPB — Deposit Slip
Name: Rani Amount (in numbers): ______
Total Amount (in words): ______
Type of Note/ coin
No. of Notes/ coins
Amount
500
100
50
10
5
2
1
Total
Deposit slip for Rani.
Answer
(other combinations can also be correct):
SPB — Deposit Slip
Name: Rani Amount (in numbers): ₹3578
Total Amount (in words): Three thousand five hundred seventy-eight rupees
Type of Note/ coin
No. of Notes/ coins
Amount
500
7
3500
100
0
0
50
1
50
10
2
20
5
1
5
2
1
2
1
1
1
Total
13
₹3578
Deposit slip for Rani.
Total Amount (in words): Three thousand five hundred seventy-eight rupees.
Q13Can you guess a possible combination of notes they might have? Fill in the amounts appropriately. (Roja: ₹1240)
SPB — Deposit Slip
Name: Roja Amount (in numbers): ______
Total Amount (in words): ______
Type of Note/ coin
No. of Notes/ coins
Amount
500
100
50
10
5
2
1
Total
Deposit slip for Roja.
Answer
(other combinations can also be correct):
SPB — Deposit Slip
Name: Roja Amount (in numbers): ₹1240
Total Amount (in words): One thousand two hundred forty rupees
Type of Note/ coin
No. of Notes/ coins
Amount
500
2
1000
100
2
200
50
0
0
10
4
40
5
0
0
2
0
0
1
0
0
Total
8
₹1240
Deposit slip for Roja.
Total Amount (in words): One thousand two hundred forty rupees.
Let Us Solve — Page 161Working in the place-value columns
Q1Solve a)
Th
H
T
O
3
6
9
5
+ 4
2
0
8
The sum as printed in the book, with empty carry circles.
Answer
Th
H
T
O
1
1
3
6
9
5
+ 4
2
0
8
7
9
0
3
Working in the place-value columns (the top row shows the carries, or the new digits after regrouping).
3695 + 4208 = 7903
Q2Solve b)
Th
H
T
O
2
5
0
7
+ 6
8
4
7
The sum as printed in the book, with empty carry circles.
Answer
Th
H
T
O
1
1
2
5
0
7
+ 6
8
4
7
9
3
5
4
Working in the place-value columns (the top row shows the carries, or the new digits after regrouping).
2507 + 6847 = 9354
Q3Solve c)
Th
H
T
O
6
3
5
2
− 3
5
2
1
The subtraction as printed in the book.
Answer
Th
H
T
O
5
13
6
3
5
2
− 3
5
2
1
2
8
3
1
Working in the place-value columns (the top row shows the carries, or the new digits after regrouping).
6352 − 3521 = 2831
Q4Solve d)
Th
H
T
O
8
8
0
3
− 5
7
2
6
The subtraction as printed in the book.
Answer
Th
H
T
O
7
9
13
8
8
0
3
− 5
7
2
6
3
0
7
7
Working in the place-value columns (the top row shows the carries, or the new digits after regrouping).
8803 − 5726 = 3077
Q5Arrange the following in columns and solve in your notebook. a) 3683 – 971 b) 8432 – 46 c) 4011 – 3666 d) 5203 – 2745 e) 1465 + 632 f) 3567 + 77 g) 8263 + 3737 h) 5429 + 3287
Answer
Write ones under ones, tens under tens, and so on. Then work from the right.
Sum
What to watch for
Answer
a)
3683 − 971
971 has no thousands digit; put 0 there
2712
b)
8432 − 46
46 is only tens and ones; line it up on the right
8386
c)
4011 − 3666
borrow three times
345
d)
5203 − 2745
borrow across the 0 in the tens
2458
e)
1465 + 632
one carry only, from the hundreds (4 + 6 = 10)
2097
f)
3567 + 77
77 sits in the tens and ones
3644
g)
8263 + 3737
carries all the way across
12000
h)
5429 + 3287
carry from the ones and from the tens
8716
Let Us Solve — Page 162Easy ways, comparing without calculating, and using a given answer
Math Talk
Q1Find easy ways to solve the following problems. Write the answers in the given space. Share your thinking with the grade. a) 8787 – 99 b) 4596 + 104 c) 3459 + 21 d) 5010 + 95 e) 4990 + 310 f) 7844 – 15 g) 260 + 240 h) 1575 – 125 i) 3999 + 290
Answer
The trick is to make one number a round number first.
Sum
Easy way
Answer
a)
8787 − 99
Take away 100, then put 1 back: 8687 + 1
8688
b)
4596 + 104
4596 + 4 = 4600, then + 100
4700
c)
3459 + 21
3459 + 1 = 3460, then + 20
3480
d)
5010 + 95
5010 + 100 = 5110, then − 5
5105
e)
4990 + 310
4990 + 10 = 5000, then + 300
5300
f)
7844 − 15
7844 − 4 = 7840, then − 11
7829
g)
260 + 240
26 tens + 24 tens = 50 tens
500
h)
1575 − 125
1575 − 75 = 1500, then − 50
1450
i)
3999 + 290
3999 + 1 = 4000, then + 289
4289
Q2Use the signs <, =, > as appropriate to compare the following without actually calculating. 54 + 97 ☐ 54 + 90Both sides begin with the same number, 54.
Answer
54 + 97 > 54 + 90
Both sides start with 54. We add 97 on the left but only 90 on the right, so the left side is bigger.
Q384 – 68 ☐ 90 – 68The same number, 68, is taken away on both sides.
Answer
84 − 68 < 90 − 68
Both sides take away 68. We start from 84 on the left and from 90 on the right, so more is left on the right.
Q476 + 85 ☐ 80 + 86Both numbers on the right are bigger than the ones on the left.
Answer
76 + 85 < 80 + 86
76 is less than 80 and 85 is less than 86. Both parts on the left are smaller, so the total is smaller.
Q573 – 54 ☐ 73 – 56The same number, 73, on both sides. Notice what is being taken away.
Answer
73 − 54 > 73 − 56
Both sides start from 73. We take away less on the left (54 instead of 56), so more is left.
Q6Use the given information to find the values. 139 + 175 = 314, so 314 – 175 = ______
Answer
314 − 175 = 139
139 and 175 were put together to make 314.
Take 175 back out, and 139 is what is left.
Q7845 – 394 = 451, so 845 – 395 = ______
Answer
845 − 395 = 450
We start from the same 845.
Now we take away 1 more than before (395 instead of 394).
So 1 less is left: 451 − 1 = 450
Q8354 + 167 = 521, so 354 + 168 = ______
Answer
354 + 168 = 522
354 stays the same.
168 is 1 more than 167.
So the answer is 1 more: 521 + 1 = 522
Q9456 + 209 = 665, so 446 + 219 = ______
Answer
446 + 219 = 665 — the same answer.
446 is 10 less than 456.
219 is 10 more than 209.
The 10 that left one number joined the other, so the total does not change.
In-text Questions — Page 163Practice sums and the number-square puzzle
Q3Fill the squares with the numbers 1–9. The difference between any two neighbouring squares (connected by a line) must be odd. Can you find other ways to fill the squares?Nine empty squares. A line joins every pair of neighbours.
Answer
Rule: an odd difference needs one odd and one even number side by side.
One correct filling. Every joined pair is one odd and one even number.
Yes, there are other ways. Keep the 5 odd numbers (1, 3, 5, 7, 9) on the 4 corners and the centre, and the 4 even numbers on the other squares, in any order.
Another correct filling. The odd numbers still sit on the corners and the centre.
Q4Can you do the same thing such that the difference between any two neighbouring squares is even?Nine empty squares. A line joins every pair of neighbours.
Answer
No, it cannot be done.
An even difference needs two odd or two even numbers side by side. All nine squares are joined, so all nine numbers would have to be odd (or all even). But 1 to 9 has only 5 odd and 4 even numbers.
