4th Std Maths - Term 1 Unit 2 - Adding 4-Digit Numbers with Regrouping

4 ஆம் வகுப்பு கணக்கு : பருவம் 1 அலகு 2 : எண்கள்

இனமாற்றத்துடன் நான்கிலக்க எண்களைக் கூட்டுதல்

இனமாற்றத்துடன் நான்கிலக்க எண்களைக் கூட்டுதல்

எடுத்துக்காட்டு

1. 1957, 2376 மற்றும் 4697ன் கூடுதலைக் காண்க.

Tags : Numbers | Term 1 Chapter 2 | 4th Maths எண்கள் | பருவம் 1 அலகு 2 | 4 ஆம் வகுப்பு கணக்கு.

4th Maths : Term 1 Unit 2 : Numbers : Adding 4 digit Numbers with regrouping Numbers | Term 1 Chapter 2 | 4th Maths in Tamil : 4th Standard Tamil Medium School Samacheer Book Back Questions and answers, Important Question with Answer. 4 ஆம் வகுப்பு கணக்கு : பருவம் 1 அலகு 2 : எண்கள் : இனமாற்றத்துடன் நான்கிலக்க எண்களைக் கூட்டுதல் - எண்கள் | பருவம் 1 அலகு 2 | 4 ஆம் வகுப்பு கணக்கு : 4 ஆம் வகுப்பு புத்தகம் கேள்விகள் மற்றும் பதில்கள்.

Multiplication by Regrouping | Term 2 Unit 1 Numbers | 3rd Maths

Chapter: 3rd Maths : Term 2 Unit 1 : Numbers

Multiplication by Regrouping

Understanding Multiplication Methods

Multiplication of a number with other number can be done in the following ways.

(i) Dot multiplication

(ii) Repeated addition

(iii) Regrouping

(iv) Standard multiplication algorithm

(v) Lattice multiplication

Multiplication by Regrouping

This method can be used by multiplying a two digit number.

Consider the following multiplication:

53 × 7

53 can be regroup into 5 tens and 3 ones.

Hence, 53 × 7 can be written as (50 + 3) × 7

= (50 × 7) + (3 × 7)

= 350 + 21

= 371.

Example

14 × 2 = ?

That is 2 Times 14

14 × 2 = 2 × 1 Ten + 2 × 4 Ones

= 2 × 10 + 2 × 4 = 20 + 8

= 14 × 2 = 28

Exercise

1. Multiply the following numbers by regrouping

(i) 75 × 8

= (70 + 5) × 8

= (70 × 8) + (5 × 8)

= 560 + 40

= 600

(ii) 26 × 5

= (20 + 6) × 5

= (20 × 5) + (6 × 5)

= 100 + 30

= 130

(iii) 372 × 6

= (370 + 2) × 6

= (370 × 6) + (2 × 6)

= 2220 + 12

= 2232

(iv) 402 × 7

= (400 + 2) × 7

= (400 × 7) + (2 × 7)

= 2800 + 14

= 2814

(v) 752 × 3

= (750 + 2) × 3

= (750 × 3) + (2 × 3)

= 2250 + 6

= 2256

Subtraction up to 99 with Regrouping | 2nd Grade Maths Term 2

Subtraction upto 99 with regrouping

2nd Maths : Term 2 Unit 2 : Numbers

Recall

i) Subtract the following two-digit numbers.

ii) Two squirrels collected nuts in the hollow of tree trunk.

Listen to their conversation.

Can you help the squirrels to find the number of nuts that are left?

Total number of nuts = 58

To find the remaining number of nuts at the end of the first day, we need to subtract 12 from 58.

Continue subtracting successively for finding the number of nuts that are left at the end of second and third day complete the subtraction procedure.

Travel Through

Each of the four friends Kavin, Kavini,Thirumagan and Sudar collected tamarind seeds and made geometrical shapes using the seeds.

Keywords: Subtract, Difference, Balance

The number of seeds used by them are tabulated as follows:

Kavin takes 22 seeds and used 9 seeds for making a triangle. How many seeds are left with him?

13 seeds left

Sudar takes 54 seeds and used 38 seeds to make a rectangle. Find the number of seeds left with her?

16 seeds left

Teacher’s Note: Teacher can motivate children to frame different subtraction questions and subtract them using the information given in the above table.

Learn: Subtract using seeds

Kavin make a triangular shape using the seeds collected by him. Observe the table, write the subtraction fact to find the number of seeds left with him.

To find the number of seeds left with Kavin, we need to subtract the number of seeds used from the number of seeds taken by him.

Let us subtract 9 from 22 using the seeds followed by the subtraction procedure. Take 22 seeds into groups of tens and ones.

Step 1: Subtract the ones

Represent 22 as 2 tens and 2 ones and cancel 9 seeds from ones.

Step 2: Regroup by converting tens to ones

We need to take away 9 seeds so we subtract the ones. We cannot subract 9 ones from 2 ones. So, we should regroup the seeds to overcome the shortage of seeds. For that 1 ten is changed into 10 ones.

Step 3: Subtract the ones

Subtract 9 ones from 12 ones.

Step 4 : Subtract the tens.

Now subtract tens. There is no tens to subtract. So 1 ten is to be written.

Hence, the number of seeds left with Kavin is 13.

Learn: Subtraction using abacus

Sudar collected 54 seeds and used 38 seeds to form a rectangle.

How many seeds are left with her?

To find the number of seeds left with Sudar we shall subract 38 from 54. We can do the subtraction 54-38 using abacus followed by the subtraction procedure. 54 has 5 tens and 4 ones.

So, put 5 green beads in tens place and 4 red beads in ones place. To take away 38 from 54 we need to take away 3 tens and 8 ones from 5 tens and 4 ones.

Step 1: Subtract ones

We cannot subtract 8 ones from 4 ones.

So exchange 1 ten as 10 ones.

So we have

Step 2: Cancel 8 ones from 14 ones

Now we can subtract 8 ones from 14 ones.

Step 3: Subtract tens

Subtract 3 tens from 4 tens.

So, the number of beads left with Sudar is 16.

Practice

1. How many more seeds were used for making rectangle than triangle ?

2. Thirumagan collected 24 seeds and used 16 seeds. How many seeds are left with him?

24 – 16 = 8

3. Kavini used 18 out of 30 seeds collected by her. What is the difference?

30−18=12

4. What is the difference in the number of seeds used by kavin and kavini?

Kavini: 18 seeds

Kavin: 9

Difference: 18 – 9 = 9

Practice

Subtract the following two-digit numbers.

32 – 28 = 4

94 – 59 = 35

72 – 46 = 26

46 – 17 = 29

50 – 36 = 14

85 – 67 = 18

Think Like a Mathematician

Write the missing numbers in the boxes below.

29 + 0 = 29

29 − 0 = 29

Try This

Find the missing digits in each of the subtraction facts.

Know more

(i) We can check the subtraction process in two ways.

Consider the subtraction fact 53 – 36=17.

(i) By adding: 36 + 17 = 53

(ii) By subtracting: 53 – 17 = 36

Given two numbers 53 and 36. When 36 is subracted from 53, we get 17. To verify the answer we can either add the number 36 and 17 to get the given number 53 or subract 17 from 53 to get the other number 36.

(ii) When we subtract 0 from any number we get the same number.

It means we did not take away anything from the number.

(iii) When a number is subtracted from itself it gives 0.

It means we have taken away completely from the given number.

Mental maths

1. Kamal fixed 56 tubelights in a party hall. If 18 tubelights were fused, then how many tubelights were used?

56 − 18 = 38 tubelight

2. A factory produced 95 cars in a day. How many cars were unsold if 37 were sold?

95 − 37 = 58 cars

3. Kumar walked 23 steps out of 90 steps to reach a shop. How many more steps he has to walk to reach the shop?

90 - 23 = 67 steps

4. Kamali had 31 rupees with her. She bought a pen for 15 rupees. She saved the remaining amount. Find the amount saved by her.

31 − 15 = 16 rupees

5. In a class of 42 students, 26 are girls. How many are boys?

42 − 26 = 16 boys

Addition up to 99 with Regrouping | 2nd Grade Maths Term 2 Chapter 2: Numbers

Addition upto 99 with regrouping

2nd Maths : Term 2 Unit 2 : Numbers

Addition upto 99 with regrouping

Recall

Add the following two-digit numbers and verify your answer using abacus.

i) 33 + 41 = 74

ii) 52 + 27 = 79

iii) 63 + 24 = 87

iv) 44 + 33 = 77

v) 35 + 23 = 58

vi) 32 + 27 = 59

Travel Through

Blow, Pick and Add

Agaran, Kuralini, Ezhisai and Agilan played, ‘Blow, Pick and Add’ game using tamarind seeds by forming two teams. Each of the players in the teams were given three chances. Players seperate the tamarind seeds from the heap of seeds by blowing and pick only the seperated seeds by counting them. While collecting the seperated seeds if it touches the other seeds then the player looses his chance and the next player get the chance to play.

Number of seeds picked by each of the players is given in the table.

The team which collects maximum number of seeds are declared as winner.

Learn

Add using seeds

What is the total number of seeds collected by team A in chance 1? Team A consists of two players Agaran and Kuralini. From the table, in chance 1, the seeds collected by them are 15 and 9. So, let us add 15 and 9 using beads, followed by the procedure for addition.

Take 15 seeds and 9 seeds as shown below.

Separate the seeds into the groups of tens and ones. Seperate 15 seeds as 1 tens and 5 ones. Take 9 seeds as 9 ones.

Step 1: Add ones

We add ones, we get 14 ones.

Step 2: Regroup ones

Regrouping ones we get 1 ten + 4 ones. So, write 4 in ones place and carry over 1 ten in tens place.

Step 3: Add tens

The total number of seeds collected by Team A in chance 1 is 24.

Learn

Add using abacus

What is the total number of seeds collected by team B in chance 1? Team B consists of two players Ezhisai and Agilan. They collected 14 and 16 seeds in chance 1. Hence we need to add 14 and 16 using Abacus followed by addition procedure. Put 14 beads in the abacus first and then add 16 beads to it.

Step 1: Add ones

If we add ones, we get 10 ones.

Step 2: Regroup the ones

Regrouping ones we get 1 ten and no ones. So, write 0 in ones place and carry over 1 ten in tens place.

Step 3: Add Tens

Altogether, team B collected 30 seeds in chance 1.

Practice

i) Find the team that wins in chance 2.

Team A : 33 + 37 = 70

Team B : 23 + 38 = 61

The team that wins in chance 2 is Team A.

ii) Find the team that wins in chance 3?

Team A : 11 + 13 + 10 = 34

Team B : 12 + 12 + 11 = 35

The team that wins in chance 3 is Team B.

iii) Find the total number of seeds collected by Agaran and Agilan.

Agaran : 15 + 33 + 29 = 77

Agilan : 16 + 38 + 37 = 91

The total number of seeds collected by Agaran is 77.

The total number of seeds collected by Agilan is 91.

Try This

i) Frame the appropriate question for the number fact given in the table (page number 26) of the ‘Blow, Pick and Add’ game.

1. 33 + 37 = 70

Agaran collected 33 seeds.

Kuralini collected 37 seeds.

Find the total number of seeds collected by both of them.

2. 26 + 37 = 63

Ezhisai collected 26 seeds.

Agilan collected 37 seeds.

Find the total numbers of seeds collected by both of them.

ii) Add the numbers.

Pleasure Time

Fill in the empty boxes given below.

Mental maths

1. A vegetable seller packs 72 cauliflowers on the first day and 18 cauliflowers on the second day. Find the total number of cauliflowers packed in two days?

Ans :

72 + 18 = 90 cauliflowers

2. Sujitha counts 24 mango trees on one side of the field and Babitha counts 36 mango trees on the other side of the field. What is the total number of mango trees counted?

Ans :

24 + 36 = 60 mango trees

3. An ice cream parlour sells 28 ice creams on Monday and 53 ice creams on tuesday. How many ice creams does it sell in two days?

Ans :

28 + 53 = 81 ice creams

4. The teacher checks 12 note books on a day. She checks 18 more note books on the next day. What is the total number of note books checked by the teacher on the two days?

Ans :

12 + 18 = 30 note books

5. A gardener plucks 28 lemons in the morning and 15 lemons in the afternoon. Find the total number of lemons he plucked.

Ans :

28 + 15 = 43 lemon

Think Like A Mathematician

Number puzzle

Put the numbers 11, 12, 13, 14, 15, 16 and 17 in the circles so that addition of three numbers in a straight line gives the same total.

Pleasure Time

i) Find the missing digits of the additon facts given below.

ii) Raghul gives the sales record sheet to his father to keep a track of the dress materials sold on the first three days of the week.

Look at the sales record sheet and find the total number of sarees he sold on the following days by completing the information.

Answer:

Monday 15 + 10 + 20 = 45

Tuesday 25 + 12 + 14 = 51

Wednesday 30 + 13 + 35 = 78