MULTIPLICATION OF A DECIMAL BY A DECIMAL

Problem 1 :

0.3 × 6

Solution :

0.3 × 6

A decimal number 0.3 is converted to be a fraction .

3/10

And multiply by 6.

= (3/10) × 6

= 18/10

= 1.8

Problem 2 :

0.5 × 4.0

Solution :

0.5 × 4.0

A decimal number 0.5 is converted to be a fraction .

5/10

And multiply by 4.

= (5/10) × 4

= 20/10

= 2

Problem 3 :

0.03 × 7

Solution :

0.03 × 7

A decimal number 0.03 is converted to be a fraction .

3/100

And multiply by 7.

= (3/100) × 7

= 21/100

= 0.21

Problem 4 :

0.03 × 700

Solution :

0.03 × 700

A decimal number 0.03 is converted to be a fraction .

3/100

And multiply by 700.

= (3/100) × 700

= 2100/100

= 21

Problem 5 :

2.8 × 5

Solution :

2.8 × 5

A decimal number 2.8 is converted to be a fraction .

28/10

And multiply by 5.

= (28/10) × 5

= 140/10

= 14

Problem 6 :

0.6 × 0.8

Solution :

0.6 × 0.8

A decimal number 0.6 is converted to be a fraction .

6/10 --- (1)

A decimal number 0.8 is converted to a fraction.

8/10 --- (2)

Multiplying (1) and (2).

= (6/10) × (8/10)

= 48/100

= 0.48

Problem 7 :

0.8 × 0.05

Solution :

0.8 × 0.05

A decimal number 0.8 is converted to be a fraction .

8/10 --- (1)

A decimal number 0.05 is converted to a fraction.

5/100 --- (2)

Multiplying (1) and (2).

= (8/10) × (5/100)

= 40/1000

= 0.04

Problem 8 :

0.05 × 0.4

Solution :

0.05 × 0.4

A decimal number 0.05 is converted to be a fraction .

5/100 --- (1)

A decimal number 0.4 is converted to a fraction.

4/10 --- (2)

Multiplying (1) and (2).

= (5/100) × (4/10)

= 20/1000

= 0.02

Problem 9 :

(0.2)²

Solution :

(0.2)²

A decimal number 0.2 is converted to be a fraction .

2/10 

= (2/10)²

= 4/100

= 0.04

Problem 10 :

(2.5)²

Solution :

(2.5)²

A decimal number 2.5 is converted to be a fraction .

25/10 

= (25/10)²

= 625/100

= 6.25

Problem 11 :

0.14 × 0.5

Solution :

0.14 × 0.5

A decimal number 0.14 is converted to be a fraction .

14/100 --- (1)

A decimal number 0.5 is converted to a fraction.

5/10 --- (2)

Multiplying (1) and (2).

= (14/100) × (5/10)

= 70/1000

= 7/100

= 0.07

Problem 12 :

(0.03)²

Solution :

(0.03)²

A decimal number 0.03 is converted to be a fraction .

3/100

= (3/100)²

= 9/10000

= 0.0009

Problem 13 :

(0.2)³

Solution :

(0.2)³

A decimal number 0.2 is converted to be a fraction .

2/10 

= (2/10)³

= 8/1000

= 0.008

Problem 14 :

(0.3)³

Solution :

(0.3)³

A decimal number 0.3 is converted to be a fraction .

3/10 

= (3/10)³

= 27/1000

= 0.027

Problem 15 :

25 × 0.0004

Solution :

25 × 0.0004

A decimal number 0.0004 is converted to be a fraction .

4/10000 

= 25 × (4/10000)

= 100/10000

= 0.01

Problem 16 :

1 + 0.2 × 0.3

Solution :

Given, 1 + 0.2 × 0.3

A decimal number 0.2 is converted to be a fraction .

2/10 --- (1)

A decimal number 0.3 is converted to a fraction.

3/10 --- (2)

Multiplying (1) and (2).

0.2 × 0.3 = (2/10) × (3/10)

0.2 × 0.3 = 6/100

6/100 substitute the given equation.

1 + 6/100

= (101 + 6)/100

= 107/100

= 1.07

Problem 17 :

0.08 - 0.08 × 0.2

Solution

Given, 0.08 - 0.08 × 0.2

A decimal number 0.08 is converted to be a fraction.

8/100 --- (1)

A decimal number 0.2 is converted to a fraction.

2/10 --- (2)

Multiplying (1) and (2).

0.08 × 0.2 = (8/100) × (2/10)

0.08 × 0.2 = 16/1000

16/1000 substitute the given equation.

8/100 - (16/1000)

= (8/100 × 10/10) - (16/1000)

= (80/1000) - (16/1000)

= (80 - 16)/1000

=64/1000

= 0.064

Problem 18 :

(0.3 - 1)²

Solution :

(0.3 - 1)²

= (-0.7)²

= 0.49