Question

write the following decimals in their expand form: (a)27.65 (b)102.05 (c) 36.36 (d)0.507​

Answer 1

Answer:

1. 27.65= 2×10+7×0+ 6/Tenths+5/hundredths

2.102.05.......... As same

3.36.36........... As same

4.0.507...........As same

Answer 2

Answer:

Decimal expansion of a) $27.65$ $= 20 + 7 + 0.6 + 0.05$  ,

                                     b)$102.05$ $= 100+00+2 + 0.0 + 0.05$  

                                     c)$36.36$ $=30+6 + 0.3+ 0.06$  

                                     d)$0.507$ $= 0 + 0.5 +0.00+0.007$  

Step-by-step explanation:

To expand : given decimal numbers .

Given decimal numbers : a) $27.65$ , b)$102.05$  , c)$36.36$  , d)$0.507$

Solution :

• To expand decimal number we multiply given digits by their place value .

    a)  $27.65$

• We know that , in the given decimal number place values of numbers are:

         Place value of $7$ = ones  

        Place value of $2$ = tens

        Place value of $6$ = tenths

        Place value of $5$ = hundredths        

• Decimal expansion :
• $27.65= 2\times10 + 7\times1 + 6\times\frac{1}{10} +5\times\frac{1}{100}$  

                  $= 20 + 7 + 0.6 + 0.05$

   b) $102.05$

• We know that , in the given decimal number place values of numbers are:

         Place value of $2$ = ones  

        Place value of $0$ = tens

        Place value of $1$ = hundreds

        Place value of $0$ = tenths

        Place value of $5$ = hundredths      

•  Decimal expansion :
• $102.05= 1\times 100+0\times10 + 2\times1 + 0\times\frac{1}{10} +5\times\frac{1}{100}$  

                   $= 100+00+2 + 0.0 + 0.05$  

  c) $36.36$

• We know that , in the given decimal number place values of numbers are:

         Place value of $6$ = ones  

        Place value of $3$ = tens

        Place value of $3$ = tenths

        Place value of $6$ = hundredths      

•  Decimal expansion :
• $36.36= 3\times10 + 6\times1 + 3\times\frac{1}{10} +6\times\frac{1}{100}$  

                   $=30+6 + 0.3+ 0.06$  

  d) $0.507$

• We know that , in the given decimal number place values of numbers are:

         Place value of $0$ = ones  

         Place value of $5$ = tenths

        Place value of $0$ = hundredths    

        Place value of $7$ = thousandths    

•  Decimal expansion :
• $0.507= 0\times1 + 5\times\frac{1}{10} +0\times\frac{1}{100}+7\times\frac{1}{1000}$  

                   $= 0 + 0.5 +0.00+0.007$