write the number in standard form.

Question

2.3824x10⁵   9.684x10^-1         4.62x10^-7

Answer 1

When converting from exponential form to standard form, begin with the first part of the number and move the decimal point as indicated by the exponent.  If the exponent is positive, move the decimal point to the right.  If the exponent is negative, move the decimal point to the left.  Either action may require the use of additional zeros.

 

2.3824x10⁵  Move decimal point 5 places to the right.  Notice there are only 4 decimal places in this so let's add 1 first.

2.38240x10⁵ = 238,240

 

 

9.684x10^-1  Move decimal point 1 place to the left

9.684x10^-1 = 0.9684

 

4.62x10^-7  Move decimal point 7 places to the left.  Notice we'll have to add zeros in front of the 4.

0.000000462