Question

Find \[211.9 \times 1.13\]

Answer 1

Hint: Decimal place in the product is the sum of the decimal places in the factors. The given numbers are separated by a point known as a decimal point and is abbreviated as dot. These decimal points can separate a number into the whole number part and the fractional part. In the decimal number, \[abc.de\] the decimal point, also known as the decimal separator separates the number into the whole number \[abc\] and the fractional part \[de\]. The fractional part in the number which is to the right of the decimal point is always less than \[1\]. To multiply the decimal numbers multiply the given number without considering the decimal and the place the point in the result by counting the number of digits after the decimal in both the factors starting from the right side of the number.

Complete step by step answer:
 Multiply the given numbers without taking decimal into consideration
\[211.9 \times 1.13 = 239447\]
Now we can see there\[1\] digit after the decimal place in the number \[211.9\] and two digits after the decimal in \[1.13\] hence the position of decimal in the answer will be the sum of the position of decimal places\[2 + 1 = 3\].
Now mark the position of the decimal in the product result to third place from the right side
\[211.9 \times 1.13 = 239.447\]

Hence the product will be \[239.447\]

Note: While finding the product of the decimal numbers always count the number of digits after the decimal point. Counting must be done from the right side of the numbers and that much amount of the decimal places should be moved to the right of the resulting number.