Question

write in expanded from :

a) 83.159 =

b) 620.084 =​

Answer 1

To expand : decimal numbers a) $83.159$

                                                  b)$620.084$

Solution :

• We know that , in the given decimal number place values of numbers are:
• to expand decimal number  we multiply given digits by their place value .

         a) $83.159$  = $[8 \times 10 ]+ [3\times 1] +[ 1\times \frac{1}{10}] +[ 5\times (\frac{1}{10}) ^{2}] +[ 9\times (\frac{1}{10}) ^{3} ]$  

                        $= 80 + 3 + 0.1 + 0.05 + 0.009$

     b) $620.084$ = $[6\times 100]+ [2\times 10]+[0\times 1] + [0\times \frac{1}{10} ] + [8\times (\frac{1}{10} )^{2} ]+ [4\times (\frac{1}{10}) ^{3} ]$                                                                                                                  

                     $= 600 + 20 + 0 + 0.0 + 0.08 + 0.004$  

Hence, expansion of a) $83.159$  is $80 + 3 + 0.1 + 0.05 + 0.009$ and expansion of  b)$620.084$  is $600 + 20 + 0 + 0.0 + 0.08 +0.004$ .

Answer 2

80+3+0.1+0.05 +0.009 =83.159

600+20+0.08+0.004= 620.084