How do you write and simplify $(1.5 \times 10^{6} N) (3.0 \times 10^{- 8} m)$ $(1.5 times 10^6 N)(3.0times10^-8 m)$ in scientific notation?

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How do you write and simplify $(1.5 \times 10^{6} N) (3.0 \times 10^{- 8} m)$ $(1.5 times 10^6 N)(3.0times10^-8 m)$ in scientific notation?

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Answer 1 · 2017-02-17T16:16:54

$4.5 \times 10^{- 2} N m$ $4.5xx10^(-2)Nm$

Explanation:

$(1.5 \times 10^{6} N) (3.0 \times 10^{- 8} m)$ $(1.5xx10^6 N)(3.0xx10^-8 m)$

= $(1.5 \times 3.0) \times (10^{6} \times 10^{- 8}) N m$ $(1.5xx3.0)xx(10^6xx10^(-8))Nm$

= $4.5 \times 10^{6 + (- 8)} N m$ $4.5xx10^(6+(-8))Nm$

= $4.5 \times 10^{- 2} N m$ $4.5xx10^(-2)Nm$

When a number is written in scientific notation, it is written in the form $a \times 10^{n}$ $axx10^n$ , where $1 \leq a < 10$ $1<=a<10$ , in other words $a$ $a$ is just in unit digits and decimals but no tens or higher and $n$ $n$ is an integer.

As $4.5 \times 10^{- 2} N m$ $4.5xx10^(-2)Nm$ is already in this form, this is the desired result.

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How do you write and simplify $(1.5 \times 10^{6} N) (3.0 \times 10^{- 8} m)$ $(1.5 times 10^6 N)(3.0times10^-8 m)$ in scientific notation?

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Explanation:

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How do you write and simplify $(1.5 \times 10^{6} N) (3.0 \times 10^{- 8} m)$ $(1.5 times 10^6 N)(3.0times10^-8 m)$ in scientific notation?