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Decimals
How to multiply a decimal by a decimal number:
Steps to follow:
1. Multiply the decimal numbers as usual without decimal point.
2. Count the no. of decimal places in the multiplicand and the multiplier.
3. Mark the decimal point in the product obtained from the right such that the no. of decimal places in the product is equal to the sum of decimal places in the two decimal number.Example: Multiply 0.03 by 1.1
0.03 x 1.1
Multiply without decimal points = 3 x 11 = 33
0.03 has 2 decimals places, and 1.1 has 1 decimal place, so the answer has 3 decimal places = 0.033
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Decimals
How to multiply a decimal by a whole number:
1. Multiply the decimal with the decimal point by the whole number.
2. Mark the decimal point in the product from right to left according to the number of decimal places in the given decimal number.Example :
The length and breadth of a rectangle are 12.82 m and 5 m. Find the area of the rectangle.
Solution :
Length of the rectangle = 12.82 m
Breadth of the rectangle = 5 m
Area of the rectangle \( = \left( {12.82 \times 5} \right)m^2 = 64.1m^2 \)