In our day-to-day life, we come across many situations where we need to know the multiplication of decimal. For example, if money paid in dollars and cents (rupees and paise ), vegetables purchased in kg (kilogram) and g(gram) etc.

In order to multiply a decimal by a whole number, we follow the following steps :

1) 3.25 x 12 = ? 325 x 12 ------------ 650 + 3250 ------------ 3900 ∴ 3.25 x 12 = 39.00 (as there are two digits after decimal so from left side count two digits and give the decimal) |
2) 0.0275 x 17 = ? 0.0275 x 17 ------------ 1925 + 2750 ------------ 4675 ∴ 0.0275 x 17 = 0.4675 (as there are 4 digits after decimal so from left side count 4 digits and give the decimal) |

In order to multiply a decimal by another decimal, we follow the following steps.

1) 9.2 x 6.07 = ? 9.2 (1 digit after decimal)x 6.07 (2 digits after decimal)------------ 644 000 + 55200 ------------ 55844 (total digits after decimal = 1 + 2 = 3)∴ 9.2 x 6.07 = 55.844 (Total digits after decimal are 3 so from left side count three digits and give the decimal) |
2) 0.0345 x 0.0237 = ? 0.0345 (4 digit after decimal)x 0.0237 (4 digits after decimal)------------ 2415 10350 + 69000 ------------ 81765 (total digits after decimal = 4 + 4 = 8)∴ 0.0345 x 0.0237 = 0.00081765 (Total digits after decimal are 8 but after multiplication there are only 5 digits so add 3 zeros before 8 and then put the decimal 8 digits from left) |

• Expansion of decimals

• Comparison of decimals

• Addition of Decimals

• Subtraction of Decimals

• Multiplication of Decimals

• Division of Decimals

• Conversion of decimals to fraction

Number System

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