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

2 Answers
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 xx 10^6 = 4,052,000#

Jun 14, 2017

#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#