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Multiplication and Division on Decimals

# Multiplicaton and Division on Decimals

Ignore the decimals and multiply the two numbers.

Lesson Demo

#### Multiplication of decimals:

1. To multiply a whole number by a decimal number, follow these steps:

2. Ignore the decimals and multiply the two numbers.

3. Count the numbers of digits to the right of decimal point in the original decimal number.

4. Insert the decimal, from right to left, in the answer by the same count.

Eg: (i)   3×0.2=0.6  (ii)    3×0.4=1.2

1. To multiply a decimal number by a decimal number, follow these steps:

2. Ignore the decimals and multiply the two numbers.

3. Count the number of digits to the right of decimal point in both the decimal numbers.

4. Add the number of digits counted and insert the decimal, from right to left, in the answer by the same count.

Eg: (i)   0.2×0.7=0.14  (ii)   0.9×0.02=0.018

1. To multiply a decimal number by 10, 100 or 1000, follow these steps:

2. While multiplying a decimal number by 10, retain the original number and shift the decimal to the right by one place.

1. While multiplying a decimal number by 100, retain the original number and shift the decimal to the right by two places.

2. While multiplying a decimal number by 1000, retain the original number and shift the decimal to the right by three places.

#### Division of decimals:

1. To divide a decimal number by a whole number, follow these steps:

2. Convert the decimal number into a fraction.

3. Take the reciprocal of the divisor.

4. Multiply the reciprocal by the fraction.

Eg:

1. To divide a decimal number by another decimal number, follow these steps:

2. Convert both the decimal numbers into fractions.

3. Take the reciprocal of the divisor.

4. Multiply the reciprocal by the fraction.

Eg:

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