# Multiplying 2-Digit Number by 1-Digit Number

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