Question

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

232,000,000

0.00000431

2,320,000,000

0.000000000000431



2.32E9
2.32E8
4.31E-13
4.31E-6

Answer 1

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

Answer 2

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

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* 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* 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* 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* 10^(-13)`

which is given by: 4.31E-13