When we divide a whole number by a power of 10, theĪnswer will have as many decimal digits are there are 0's.Īgain, as in Lesson 2, consider this array:Īs we move up the list - as we push the digits one place right - the number has been divided by 10 because each place to the right is worth 10 times less. Starting from the right of 265, separate one decimal digit. Multiplying and Dividing By Positive Power of 10 Maths. In Mathematics, the power of 10 is any whole-valued (integer) power of the number 10. Starting from the right of the whole number, separate as Are you Charged Enough to be a Power of Ten Power of Ten. How do we divide a whole number by a power of There are no 0's to chop off We will see that we must place a decimal point to Now in Lesson 2 we saw that when a whole number ends in 0's, weīut when a whole number does not end in 0's - as 265 - then
#The power of ten math how to#
These example illustrate that, whenever we multiply or divideīy a power of 10, the digits do not change We simply move the decimal pointįinally, we must see how to divide a whole number by a Move the decimal point left as many places as How do we divide a decimal by a power of 10? Since money has two decimal digits, we added on a 0. combining exponents powers of one In our quest to decrease the exponent from (103) ('ten to the third power') to (100) ('ten to the zeroth power'), we will keep on doing the opposite of multiplying, which is dividing. Since 50 pounds are ten times 5 pounds, they will cost ten To decrease the powers, we need to briefly understand the concepts of.
Pounds of sugar cost $2.79, how much will 50 pounds cost?Īnswer. The answer is a whole number, 732, which we write without a decimal However, since all the digits fall to the left of the decimal point, Move the decimal point right as many placesĪs there are 0's in the power. How do we multiply a decimal by a power of 10? The student should let go of that written method immediately. But it is not skillful, and it does not take advantage of positional numeration. Traditional multiplication would eventually give the right answer (we hope). How do we multiply a whole number by a power of 10?Īdd on as many 0's as appear in the power.ĭoing that is an example of skill in arithmetic, which is to be able to do a problem as quickly and as easily as possible.
There is only one zero before the 1, so 38 × 0.1 = 3.8 When multiplying a whole number by a negative power of ten (negative exponent), move the decimal point one place to the left for each zero you see before the 1. When multiplying a whole number by a positive power of ten, just count how many zero(s) you have and attached that to the right of the whole number. Follow the following useful and easy shortcuts when multiplying by powers of ten.
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