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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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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


Which way do you go when you divide decimals the left or right?

When dividing decimals, you move the decimal point to the right in the divisor (the number you are dividing by) to make it a whole number. You must then move the decimal point in the dividend (the number being divided) the same number of places to the right. This ensures that the division remains equivalent. The result will have its decimal point placed according to the new position of the decimal in the dividend.


When dividing decimals what must you do if there is a decimal in the divisor?

When dividing decimals, if there is a decimal in the divisor, you should move the decimal point in the divisor to the right until it becomes a whole number. You must then move the decimal point in the dividend the same number of places to the right. Once both numbers are adjusted, you can proceed with the division as usual.

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 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.


Which way do you go when you divide decimals the left or right?

When dividing decimals, you move the decimal point to the right in the divisor (the number you are dividing by) to make it a whole number. You must then move the decimal point in the dividend (the number being divided) the same number of places to the right. This ensures that the division remains equivalent. The result will have its decimal point placed according to the new position of the decimal in the dividend.


How do you make a remainder into a decimal?

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


When dividing decimals what must you do if there is a decimal in the divisor?

When dividing decimals, if there is a decimal in the divisor, you should move the decimal point in the divisor to the right until it becomes a whole number. You must then move the decimal point in the dividend the same number of places to the right. Once both numbers are adjusted, you can proceed with the division as usual.


What pattern describes how the decimal point moves when you divide decimal number by any power of ten?

When you divide a decimal number by a power of ten, the decimal point moves to the left by as many places as the exponent of ten indicates. For example, dividing by 10 moves the decimal point one place left, dividing by 100 moves it two places left, and so on. This pattern effectively reduces the value of the decimal number. Conversely, multiplying by a power of ten moves the decimal point to the right.


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.


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.