MULTIPLICATION OF FRACTIONS

__CHAPTER 2 FRACTIONS AND DECIMALS__MULTIPLICATION OF FRACTIONS

- The product of two proper fractions is less than both the fractions.
- The product of two improper fractions is greater than each of the fraction.

DIVISION OF FRACTIONS

MULTIPLICATION OF DECIMALS

- 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 digits from its rightmost place. The count should be the sum obtained earlier. For example, 0.5 × 0.7 = 0.35

- To multiply a decimal number by 10, 100 or 1000, move the decimal point in the number to the right by as many places as there are zeros over 1. For example, 0.53 × 10 = 5.3, 0.53 × 100 = 53, 0.53 × 1000 = 530

DIVISION OF DECIMALS

- To divide a decimal number by a whole number, first divide them as whole numbers. Then place the decimal point in the quotient as in the decimal number. For example, 8.4 ÷ 4 = 2.1
- To divide a decimal number by 10, 100 or 1000, shift the digits in the decimal number to the left by as many places as there are zeros over 1, to get the quotient. E.g. 23.9 ÷ 10 = 2.39, 23.9 ÷ 100 = 0 .239
- While dividing two decimal numbers, first shift the decimal point to the right by equal number of places in both, to convert the divisor to a whole number. Then divide. For example, 2.4 ÷ 0.2 = 24 ÷ 2 = 12.