Chapter 2: Fractions and Decimals

Solution:-

52.7 ÷ 100 = 0.527

Let us assume the missing fraction be x,

Then,

52.7 ÷ x = 0.527

52.7/x = 0.527

By cross multiplication, we get,

x = 52.7/0.527

x = 52700/527 … [divide both numerator and denominator by 527]

x = 100

Solution:-

0.5 × 0.7 = 0.35

While multiplying two decimal numbers, first multiply them as whole numbers. Count the number of digits to the right of the decimal point in both the decimal numbers. Add the number of digits counted. Put the decimal point in the product by counting the number of digits equal to the sum obtained from its rightmost place.

= 0.5 × 0.7

= 5 × 7

= 35

= 0.35

Solution:-

2 × (5/3) = 10/3

Solution:-

2.001 ÷ 0.003 = 667

= 2.001/0.003

= 2001/3 … [divide both numerator and denominator by 3]

= 667

In each of the Questions 45 to 54, state whether the statement is True or False.

Solution:-

False.

Consider the proper fraction 5/8.

Then, reciprocal of 5/8 = 8/5.

Therefore the obtained fraction is improper fraction.

Solution:-

False.

Consider the improper fraction 5/3.

Then, the reciprocal of 5/3 = 3/5.

Therefore the obtained fraction is a proper fraction.

Solution:-

False.

Product of two fractions = (Product of their numerators)/ (Product of their denominators)

Solution:-

False.

The product of two improper fractions is more than each of the fractions that are multiplied.

Consider the two improper fractions, 5/4 and 4/2

= (5/4) × (4/2)

= 5/2

= 2.5

Then, 2.5 is multiplied to the improper fraction more than each of the fractions that are multiplied = (5/4) × 2.5

= 3.125

And (4/2) × 2.5 = 5

Solution:-

True.

Reciprocal of 8/9 = 9/8

Solution:-

True.

To multiply a decimal number by 1000, we move the decimal point in the number to the right by as many places as many zeros (0) are at the right of one.

2.5 × 1000 = 2500