Question

Match the numbers in scientific notation with the corresponding numbers in standard notation.

Answer 1

Answer:

The matching of the given numbers to there standard notation is given as follows:

     232,000,000------ 2.32E8

     0.00000431 ------  4.31E-6

 2,320,000,000 ----- 2.32E9

 0.000000000000431 ----- 4.31E-13

Step-by-step explanation:

We know that the standard  notation of a number is given by:

There must be only one digit before the decimal and rest after that.

Also, it there is a shift of the decimal to the right then the power goes to negative and positive if shift is to the left.

1)

        232,000,000

Here we have to take the decimal 8 digits from the left and the number in standard notation will be given by:

              $2.32\times 10^8$

which is written as:  2.32E8

2)

      0.00000431

Here we have to shift the decimal 6 digits to the right.

Hence, the number is expressed as:

           $4.31\times 10^{-6}$

which is written as: 4.31E-6

3)

       2,320,000,000

Here the decimal is to be put 9 digits from the left and hence the number is represented as:

           $2.32\times 10^9$

which is given by: 2.32E9

4)

         0.000000000000431

Here we will shift the decimal 13 places to the right and hence the number is given by:

            $4.31\times 10^{-13}$

which is given by:  4.31E-13

Answer 2

232,000,000 - 2.32E8
0.00000431 - 4.31E-6
2,320,000,000 - 2.32E9
0.000000000000431 - 4.31E-13