Here we will learn multiplying 2-digit number by 1-digit number. In two different ways we will learn to multiply a two-digit number by a one-digit number.

Examples of multiplying 2-digit number by 1-digit number:

**1.** Multiply 20 by 3 by using expanded form

**Solution:**

20 → 2 tens + 0 ones

×__ 3__ → __ × 3__

6 tens + 0 ones

= 60 + 0

= 60

Therefore, 20 × 3 = 60

**2.** Multiply 50 by
1 by using short form

**Solution: **

50 →
50** **

__ × 1__ → __× 1__

**0 **50

(i) First digit of one’s place is multiplied by 1, i.e., 0 × 1 = 0

(ii) Then digit at ten’s place is multiplied by 1, i.e., 5 tens × 1 = 5 tens

Hence, 50 × 1 = 50

**3.** Multiply 26 by
7 by using expanded form

**Solution:**

26 → 20 + 6 → 2 tens + 6 ones

× __ 7__ → __ × 7__ → __ × 7__

(2 × 7) tens + (6 × 7) ones

2 tens + 6 ones

__× 7 ones__

14 tens + 42 ones

= 14 tens + (40 + 2) ones

= 14 tens + 4 tens + 2 ones

= 18 tens + 2 ones

= 180 + 2

= 182

Therefore, 26 × 7 = 182

**4.** Multiply 48 by
6 by using short form

**Solution: **

48

×__ 6__

24 ← 48

= 28 tens 8 ones

= 288

Hence, 48 × 6 = 288

(i) 48 × 6 is written in column from.

(ii) 8 ones are multiplied by 6, i.e., 6 × 8 = 48 ones = 4 tens + 8 ones

8 is written is one’s column and 4 tens is gained.

(iii) Gained 4 is carried to the ten’s column.

(iv) Now 4 tens is multiplied by 6, i.e., 4 tens × 6 = 24 tens

(v) Carried 4 tens is added to 24 tens, i.e., 4 tens + 24 tens = 28 tens

**5.** Find the
product of 58 × 5.

**Solution:**

58

__ × 5__

25 ← 40

= 25 + 4 ← 0

= 29 0

= 290

(i) 8 ones × 5 = 40 = 4 tens + 0 one

(ii) 5 tens × 5 = 25 tens

(iii) 25 tens + 4 tens = 29 tens

Hence, 58 × 5 = 290

**6.** Multiply 37 by
8

**Solution: **

3 7

×__ 8__

5 6

+__ 2 4 0__

2 9 6

(i) 7 ones × 8 = 56 ones = 5 tens 6 ones

56 is placed in such way that 5 comes under tens and 6 under ones

(ii) 3 tens × 8 = 24 tens = 240 ones

= 2 hundreds, 4 tens and 0 ones

240 is placed below 56 in such way that 2 comes under hundreds, 4 under tens and 0 under ones.

Hence, 37 × 8 = 296

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