Question

What is the value of (5.3 times 10 Superscript 4 Baseline) (4.2 times 10 Superscript 3) in scientific notation?

Answer 1

C.) 2.226 times 10^8

Explanation:

5.3* 10^4 * 4.2 * 10^3

5.3* 4.2 =22.26

10^(4+3) = 10^7

22.26*10^7

2.226 * 10 ^(7+1)

=2.226*10^8

Answer 2

`2.226X 10^8`

Explanation:

We are to determine the value of
`(5.3 X 10^4) (4.2 X 10 ^ 3)` in scientific notation.

Given:

`(5.3 X 10^4) (4.2 X 10 ^ 3)`

STEP 1: Remove the brackets.

`(5.3 X 10^4) (4.2 X 10 ^ 3)=5.3 X 10^4X4.2 X 10 ^ 3`

STEP 2: Separate the numbers and index of 10.

`=5.3 X4.2X 10^4 X 10 ^ 3`

STEP 3: Multiply the Numbers and Index of 10

`=22.26X 10^(4+3)`

STEP 4: Simplify and write in Scientific notation

`22.26=2.226X10\\Therefore:\\22.26X 10^(4+3)=2.226X10X 10^(4+3)=2.226X10X 10^7=2.226X 10^8`

Thus:

`(5.3 X 10^4) (4.2 X 10 ^ 3)=2.226X 10^8` in scientific notation