Q9. - Algebra 1

Question

Express each number in standard form.

$\mathbf{2}\mathbf{.}\mathbf{9}\times {\mathbf{10}}^{-\mathbf{5}}$

Step-by-Step Solution

Answer

$2.9\times {10}^{-5}$ can be written in standard form as 0.000029.

Step 1. Write steps to convert scientific notations to standard form.

1. In $x\times {10}^m$, check whether $m>0$ or $m<0$.

 

2. If $m>0$, move the decimal point m places towards the right and if $m<0$, move the decimal point $-m$ places towards the left.

 

3. Insert zeros, decimal point and commas as required for place value.

Step 2. Apply steps to convert scientific notation to standard form.

Here, $m=-5$, that is, $m<0$.

Move the decimal point $-5$ places towards the left.

$2.9\times {10}^{-5}\to 0.000029$

Step 3. Write a given number in standard form.

Therefore, $2.9\times {10}^{-5}$ can be written in standard form as 0.000029.