Question

What is the value of (5.3 times 10 superscript 4 baseline) (4.2 times 10 superscript 3) in scientific notation? 2.226 times 10 superscript 6 22.26 times 10 superscript 7 2.226 times 10 superscript 8 22.26 times 10 superscript 12

Answer 1

The standard scientific notation is expressed according to the expression$A\times 10^n$. The expression written in scientific notation is 2.226* 10⁸

Scientific notations

The standard scientific notation is expressed according to the expression$A\times 10^n$

where

• A is any real value between 1 and 10
• n is any integer

Given the expression

$(5.3\times10^4)(4.2\times10^3)$

This can be expressed as:

= (5.3 * 4.2)(10⁴ * 10³)

= 22.26 * 10⁷

= 2.23 * 10⁸

Hence the expression written in scientific notation is 2.226* 10⁸

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