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why is the quotient greater than the whole number when you divide a decimal less than 1
Because a piece of something goes into a whole number of them

more times than the number of things there are.

Examples:

There are more than 3 parts of something in 3 whole ones.

There are more than 12 partial pieces in 12 whole ones.

There are more than a hundred partial pieces in 100 whole ones.

.

.

etc.

If you're taking away a piece of a thing from a group of them, you can always do it

more times than the number of things in the group. Because every time you take a

piece away, you take away less than one whole thing. That's exactly what's going on

when you're doing division.

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6y ago
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12y ago

Because a piece of something goes into a whole number of them

more times than the number of things there are.

Examples:

There are more than 3 parts of something in 3 whole ones.

There are more than 12 partial pieces in 12 whole ones.

There are more than a hundred partial pieces in 100 whole ones.

.

.

etc.

If you're taking away a piece of a thing from a group of them, you can always do it

more times than the number of things in the group. Because every time you take a

piece away, you take away less than one whole thing. That's exactly what's going on

when you're doing division.

This answer is:
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Q: When a whole number is greater than a decimal less than 1 the quotient is greater than the whole number. Why?
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Related questions

Why is the quotient greater than a whole number less than one?

The quotient need not be greater than a whole number less than one!


When you divide why the whole number by a decimal less than 1the quotient is greater than the whole number?

The question cannot be answered because its assertion is not true.8 is a whole number, and -2.5 is a number which is less that 1. But 8/(-2.5) = -3.2 is not greater 8.


Must a decimal divisor and a decimal dividend have the same number of decimal places in order to have a whole-number quotient?

No.


When you divide a whole number by a decimal less that 1 the quotient is greater than the whole number?

Yes as for instance 8 divided by 4 = 2 but 8 divided by 1/4 = 32


Do decimal divisors and decimal dividends have to have the same number of decimal places in order to have a whole number quotient?

No. One counter example : 1.5 ÷ 0.378 = 4 1.5 has 1 dp, 0.378 has 3 dp and the quotient is a whole number.


When you divide a whole number by a fraction less than one will the quotient be greater than or less than the whole number?

When you divide a number by a fraction between zero and one, the quotient will be greater than that number.


How can you use a compatible number to estimate a quotient when dividing a decimal by a whole number?

Yes


When you divide a whole number by a decimal less than one the quotient is greater than the whole number Why?

When you start out with a pile of things, you can take away a piece that's smaller than a whole one more times than the number of whole ones in the pile.


When you divide a fraction by a whole number is the quotient greater than or less than 1?

greater


Do decimal divisors and divedends have to have the same number of decimal places to have a whole number quotient?

No. 0.5 divided by 0.25 = 2


Is a whole number greater than a decimal number?

No


When you divide a mixed number by a fraction less than 1 will the quotient be greater or less than the whole number?

It will be greater.