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The place value of each digit is one tenth of the place value of the digit to its right. So moving the decimal point to the left is the same as changing the place value of each digit to a tenth - which is what division by 10 entails. For integral powers of 10 it is simply a repetition of this process.

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Q: Why does the decimal point to they left when dividing a whole number by a power of ten. explain why?
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Related questions

Explain why shifting the decimal point in a number is equivalent to multiplying or dividing a number by a power of ten?

Because the decimal system is based on 10 ("decem" = 10 )


Is 15 divisible by 7?

Try dividing it with a calculator. If you get numbers after the decimal point, it is NOT divisible.Try dividing it with a calculator. If you get numbers after the decimal point, it is NOT divisible.Try dividing it with a calculator. If you get numbers after the decimal point, it is NOT divisible.Try dividing it with a calculator. If you get numbers after the decimal point, it is NOT divisible.


What operation is involved when you move a decimal point to the left of a number?

dividing the number by a power of 10


How do you make a remainder into a decimal?

you have to divide the remainder by the number you are dividing


How many places the decimal point move when you divide a number by 10?

The decimal point moves one place to the left when dividing by 10.


What do you do before dividing by a decimal?

Move the decimal point


Why can you move the decimal point when dividing?

If you move the decimal point the same direction and number of places for the dividend and the divisor, this accomplishes the same thing as multiplying (or dividing) a numerator and denominator by the same number (in this case it is a power of ten). Moving the decimal place to the right by one place effectively multiplies the number by 10, and moving the decimal place to the left by one place is the same as dividing the number by 10. Example: 12345.6 / 10 = 1234.56


FAQwhen dividing a number by 10 how is the decimal point moved?

It moves one place to the left.


When do you move the decimal point to the left?

When you are dividing.


Where to place the decimal in quotients when dividing by 10 100 10000?

The decimal point will be 1, 2 or 3 digits to the left from where it was in the original number.


What is 4.35 divided by 100 equals?

0.0435


How do you divide a whole number by a decimal?

Change the number to a whole number. Like if the problem was 12.128/0.032 you would change it to 12.128/0.032 The answer would easily be 379 because I changed 0.032 to just 32 and then divided it