Question

What is 36,325.741 in expanded form plz help (:

Answer 1

30,000 + 6,000 + 300 + 20 + 5 + 0.7 + 0.04 + 0.001 = 36,325.741

Answer 2

Expanded form of 36,325.741 is $30000+6000+300+20+5+\frac{7}{10}+\frac{4}{100}+\frac{1}{1000}$

Solution:

To represent a number in expanded form, take the left most number and then add number of zeros equal to number of digits remaining in the right hand side of that number before decimal.

Then take another number on the right hand side of first number before decimal and repeat the process .Do this till there are no numbers left before the decimal.

For numbers on left hand side of decimal , divide number by number of 10 depending on its position from decimal that is for first number after decimal ,divide it by 10 , for second number after decimal divide it by 100 and so on.

And represent the above set by + sign in between each number.

So in our case first number on left most side is 3 and number of digits remaining in right before decimal are 4. So add four zeros to 3 that is 30000.

After 3 other number is 6.and number of digits number of digits remaining in right are 3. So add three zeros to 6 that is 6000.

On doing same process for remaining number we get

300

      20

          5

           7/10

             4/100

               1/1000

Thus the expanded form is $30000+6000+300+20+5+\frac{7}{10}+\frac{4}{100}+\frac{1}{1000}$