Question

What is each number in scientific notation? Drag the answer into the box to match each number.

500,000,000,000

0.00000000005

Answer 1

Explanation:

By definition, Scientific Notation has the following form:

Where "a" is a number from 0 to 10 (but not including 10) and the exponent "n" is an integer.

To write a number in Scientic Notation form, the decimal point must be located to the right of the first digit of the number. In order to do that, you need to move the decimal point to the left or to the right.

The exponent "n" indicates how many places you moved the decimal point:

- If you moved it to the right, then "n" is negative.

- If you moved it to the left, then "n" is positive.

Given these numbers:

a)

You need to move the decimal point 11 places to the left. Then:

b)

You need to move the decimal point 11 places to the right Then:

Answer 2

`500,000,000,000=5*10^(11)`

`0.00000000005=5*10^(-11)`

Explanation:

By definition, Scientific Notation has the following form:

`a*10^n`

Where "a" is a number from 0 to 10 (but not including 10) and the exponent "n" is an integer.

To write a number in Scientic Notation form, the decimal point must be located to the right of the first digit of the number. In order to do that, you need to move the decimal point to the left or to the right.

The exponent "n" indicates how many places you moved the decimal point:

- If you moved it to the right, then "n" is negative.

- If you moved it to the left, then "n" is positive.

Given these numbers:

a)
`500,000,000,000`

You need to move the decimal point 11 places to the left. Then:

`500,000,000,000=5*10^(11)`

b)
`0.00000000005`

You need to move the decimal point 11 places to the right Then:

`0.00000000005=5*10^(-11)`