Answer: Multiplication of a decimal by a whole number To multiply a decimal by a whole number, we multiply exactly in the same way as we multiply two whole numbers without any consideration of the decimal point. Then we place the decimal point in the product at the same place where it is placed in the multiplicand
Let us understand it by considering an example.
Multiply 83.16 by 12.
Solution:
Step I: Arrange the numbers in columns.
Step II: Multiply the numbers ignoring the decimal point.
8316 × 2 = 16632
8316 × 10 = 83160
99792
Step III: Insert the decimal point in the product just after 2 digits from the right as it is placed in the multiplicand
99792 → 997.92
83.16 → Decimal point after two digits from the right
× 12
16632
+ 83160
997.92 → Decimal point after two digits from the right
Answer: 997.92