Question

Find the missing values in the place value expansion of 713.317 given below:

$7\times a+1\times 10+3\times b+3\times c+\frac{1}{100}+7\times d$

• A. $a=1000,b=1,c=\frac{1}{10},d=\frac{1}{1000}$
• B. $a=100,b=1,c=\frac{1}{10},d=\frac{1}{1000}$
• C. $a=\frac{1}{1000},b=1,c=\frac{1}{10},d=100$
• D. $a=\frac{1}{1000},b=10,c=\frac{1}{10},d=1000$

Answer 1

The correct option is B

$a=100,b=1,c=\frac{1}{10},d=\frac{1}{1000}$

As 7 occupies hundreds and one-thousandths place, hence a and d are 100 and $\frac{1}{1000}$ respectively.
Similarly, as 3 occupies ones and one-tenths place, hence b and c are 1 and $\frac{1}{10}$ respectively.