Question

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

Answer 1

Answer:

C.) 2.226 times 10^8

Step-by-step 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

Answer:

$2.226X 10^8$

Step-by-step 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