Question

write the expand form of 764.321​

Answer 1

Answer:

764.321​ = 700 + 60 + 4 + 0.3 + 0.02 + 0.001

Step-by-step explanation:

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Answer 2

In the question we are asked to expand the given number.

To expand : $764.321$

To expand the above decimal number we need to follow the following steps:

• Firstly we will split the given number into whole number and decimal numbers i.e. $764.321$ $= 764 + 0.321$

First Part -  to expand whole number $764$ :

1. write number in its standard form i.e. $764$
2. Second we determine the place values of the digits in the given numbers. i.e. place values of digits are -                                                   7 = hundred  place  , 6 = tens place  , 4 = units place
3. Then we multiply the digits by its place value and add them

       i.e. representing all the digits as product of digit and its place value

       $7\times 100 + 6\times 10 + 4$        

       $= 700 + 60 + 4$                 ----------(i)

Second part -  to expand decimal number : $0.321$

1. We multiply the decimal digits by increasing exponent values of $(\frac{1}{10} )$    

    i.e. $3\times(\frac{1}{10} ) + 2\times(\frac{1}{10}) ^{2} +1\times (\frac{1}{10}) ^{3}$

          $= 3\times(\frac{1}{10} ) + 2\times\frac{1}{100} + 1\times(\frac{1}{1000})$

         $= 0.3 + 0.02 + 0.001$  ------------------- (ii)

Now, adding (i) And (ii) we get,

$700 + 60 +4 \ +$  $0.3 + 0.02 + 0.001$  = $764.321$

Hence expansion of $764.321$ is  $700 + 60 +4 \ +$  $0.3 + 0.02 + 0.001$ .