Question

Find the quotient: $0.21÷7=$

Explain how the strategy you use to solve this problem relates to a strategy you would use to solve a problem with only whole numbers.

Answer 1

Finding the quotient:

Step 1: Explaining the strategy.

The strategy we used for division of whole numbers in the form $a÷b$ we use the expression as $a=bn$ for some whole number n and we use normal division and count multiple of b which form the number a. When we have decimal number's we will use same strategy but will convert decimal number into fraction number by dividing it powers of ten depending upon the number of digits after decimal.

Step 2: Determining the quotient

We have given that $0.21÷7=$ so writing it in the form of $0.21=7n$ write $0.21=\frac{21}{100}$ and solving for $n$ we get,

$$\begin{gathered} \frac{21}{100}=7n \\ \Rightarrow n=\frac{3}{100} \\ \Rightarrow n=0.03 \end{gathered}$$

Hence, the quotient of $0.21÷7=0.03$