DIVIDING DECIMALS BY WHOLE NUMBER AND 10 TO THE POWER n

Write the missing dividend, divisor, or quotient for each division problem.

Problem 1 :

49.2 ÷ 10 = _____.

Solution :

49.2 ÷ 10

While dividing by 10, since we have one zero at the denominator, we have to move the decimal one digit backward. So, the answer will be 4.92.

Problem 2 :

49.2 ÷  _____ = 0.492.

Solution :

Since 49.2 is divided by 100, move the decimal point two digits to the left.

We get 0.492

So, the missing value is 100.

Problem 3 :

_____ ÷ 1,000 = 0.0492

Solution :

_____ ÷ 1,000 = 0.0492

While dividing by 1000, since we have three zeroes at the denominator, we have to move the decimal three digits backward.

Considering the non zero digits in the answer, we have 3 digits.

So, the missing value is 49.2.

Problem 4 :

49.2 ÷ 10,000 = _____.

Solution :

49.2 ÷ 10,000

While dividing by 10,000, since we have four zero at the denominator, we have to move the decimal four digits backward.

So, the answer will be 0.00492.

Problem 5 :

7.6 ÷  _____ = 0.76.

Solution :

Since 7.6 is divided by 10, move the decimal point two digits to the left.

We get 0.76

So, the missing value is 10.

Problem 6 :

_____ ÷ 100 = 0.076

Solution :

_____ ÷ 100 = 0.076

While dividing by 100, since we have two zero at the denominator, we consider the given answer we have to move the decimal two digits backward. So, the missing value is 7.6.

Problem 7 :

7.6 ÷ 1,000 = _____.

Solution :

7.6 ÷ 1,000

While dividing by 1000, since we have three zero at the denominator, we have to move the decimal three digits backward. So, the answer will be 0.0076.

Problem 8 :

7.6 ÷  _____ = 0.00076.

Solution :

In the answer, the decimal is moved four digits. So, we have to use four zeroes, that is 10000.

So, the missing value is 10,000.

Writing Mixed Fractions as Decimals

Problem 9 :

Solution :

Problem 10 :

Solution :

Problem 11 :

Solution :

Problem 12 :

Solution :

You are given that 29 × 1374 = 39846

Use this information to find the answers to 

Problem 1 :

39846 ÷ 29

Solution :

The given, 29 × 1374 = 39846

Let a = 29, b = 1374 and c = 39846

a x b = c

To find b :

b = c/a

b = 39846/29

b = 1374

So, the answer is 1374.

Problem 2 :

2.9 × 13.74

Solution :

Let a = 2.9 and b = 13.74

To find c :

c = a × b

c = 2.9 × 13.74

c = 39.846

So, the answer is 39.846.

Problem 3 :

0.29 × 13740

Solution :

Let a = 0.29 and b = 13740

To find c :

c = a × b

c = 0.29 × 13740

c = 3984.6

So, the answer is 3984.6.

Problem 4 :

398.46 ÷ 1.374

Solution :

Let b = 1.374 and c = 398.46

To find a :

a = c/b

a = 398.46/1.374

b = 290

So, the answer is 290.

Problem 5 :

58 × 1374

Solution :

Let a = 58 and b = 1374

To find c :

c = a × b

c = 58 × 1374

c = 79692

So, the answer is 79692.