Multiplying 3-Digit Numbers by 2-Digit Numbers

We will learn how to multiply 3-digit numbers by 2-digit numbers.

Multiplication by 3-Digit Numbers × 2-Digit Numbers:

I. Multiply 148 by 18.

Th H T O

4 1 8

× 1 8

3 3 4 4 1.

+ 4 1 8 0 2.

7 5 2 4 3.

1. 18 = 1 ten and 8 ones

Multiply 8 ones by all the numbers

418 × 8 ones = 3344 ones

2. Multiply 1 ten by all the numbers

418 × 1 ten = 418 tens = 4180

3. Add the two products [1. + 2.]

3344 + 4180 = 7524

II. Multiply 354 by 24.

Th H T O

3 5 4

× 2 4

1 4 1 6 1.

+ 7 0 8 0 2.

8 4 9 6 3.

1. 24 = 2 tens and 4 ones

Multiply 4 ones by all the numbers

354 × 4 ones = 1416 ones

2. Multiply 2 tens by all the numbers

354 × 2 tens = 708 tens = 7080

3. Add the two products [1. + 2.]

1416 + 7080 = 8496

Questions and Answers on Multiplying 3-Digit Numbers by 2-Digit Numbers:

(i)

Th H T O

4 4 1

× 1 1

______________

(ii)

Th H T O

1 4 0

× 1 3

______________

(iii)

Th H T O

4 2 0

× 1 6

______________

(iv)

Th H T O

5 0 3

× 1 2

______________

(v)

Th H T O

9 3 2

× 1 0

______________

(vi)

Th H T O

6 2 9

× 1 3

______________

(vii)

Th H T O

8 3 7

× 1 1

______________

(viii)

Th H T O

3 3 2

× 2 0

______________

(ix)

Th H T O

1 8 3

× 2 3

______________

(x)

Th H T O

2 5 1

× 2 7

______________

(xi)

Th H T O

1 9 2

× 3 8

______________

(xii)

Th H T O

1 6 8

× 5 2

______________

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