# How do you write 4.052 times 10^6 in standard form?

Jun 14, 2017

Because the exponent of the 10s term is positive we need to move the decimal point 6 places to the right to write this expression in standard form:

$4.052 \times {10}^{6} = 4 , 052 , 000$

Jun 14, 2017

$4.052 \times {10}^{6} = 4052000$

#### Explanation:

The number is written in scientific notation, where we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of $10$.

In general notation power of $10$ is not used and we multiply the number in single digit by the power of $10$ to get it in simple standard decimal notation.

Multiplying by a positive power of $10$ means moving decimal to right and in case power is negative (this is when the number is less than $1$) it meanss moving decimal to left. This is done by the power of $10$.

Here we have $4.052 \times {10}^{6}$

= $4 \textcolor{red}{.052000} 0 \times 1000000$

= $4 \textcolor{red}{052000.} 0$

= $4052000$