Question

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

Answer 1

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 xx 10^6 = 4,052,000`

Answer 2

`4.052xx10^6=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 `4.052xx10^6`

= `4color(red)(.052000)0xx1000000`

= `4color(red)(052000.)0`

= `4052000`