Q10. - Algebra 1

Question

Express each number in standard form.

$\mathbf{9}\mathbf{.}\mathbf{1}\times {\mathbf{10}}^6$

Step-by-Step Solution

Answer

$9.1\times {10}^6$ Can be written in standard form as 9100000.

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, $m=6$, that is, $m>0$.

Move the decimal point 6 places towards the right.

$9.1\times {10}^6\to 9100000$

Step 3. Write a given number in standard form.

Therefore, $9.1\times {10}^6$ can be written in standard form as 9100000.