Question

0.0000000085 standard form
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Answer 1

Answer:

8.5^-9 I hope the answer is helpful

Answer 2

The standard form of 0.0000000085 is $8.5 \times 10^{-9}$

Solution:

Given number is 0.0000000085. We first remove the decimal point and convert it into $\frac{p}{q}$ form.

$0.0000000085=\frac{85}{100000000}$

100000000 can be raised to power of 10

$0.0000000085=\frac{85}{10^{10}}$

$\text { We know that } \frac{1}{a^{n}}=1 \times a^{-n}$

$\begin{array}{l}{0.0000000085=85 \times 10^{-10}} \\\\ {0.0000000085=(8.5 \times 10) \times 10^{-10}}\end{array}$

$\begin{array}{l}{0.0000000085=8.5 \times\left(10 \times 10^{-10}\right)} \\\\ {\text { We know that } a^{m}+a^{n}=a^{m+n}} \\\\ {0.0000000085=8.5 \times 10^{1+(-10)}} \\\\ {0.0000000085=8.5 \times 10^{-9}}\end{array}$

Hence the standard form of 0.0000000085 is $8.5 \times 10^{-9}$