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Yes. Maybe this will help with the understanding. Say you have 10 apples (whole value = 10), and you divide them into groups of 2 (group value = 2). How many groups will you have. So 10 ÷ 2 = 5. There are 5 groups.
Now take a dollar (value = 1) and how many quarters (group value = 0.25) will make up a whole dollar. So you have 1 ÷ 0.25 = 4. It's easy to visualize that there are 4 quarters in a dollar.
already wrote this answer for this question so will add it anyway, above answer explains it well, ironically i used the same values but didn't think to use dollars and quarters as an example (im from the UK, we dont have 0.25 value coins)
yes you do, basically if multiplying any number greater than 1 by a number less than 1 you will always get a higher number than you started with.
for example, 10x0.25 is asking how many 0.25's are there in 10, because there are four 0.25's in 1 then we are multiplying 10 by 4, therefore 10x0.25=40
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What happens to the quotient when you divide a fraction by a fraction?
The quotient is larger than the original fraction.
What is the quotient and remainder of 805 divided by 98483?
Quotient 0, remainder 805. Note that you will always get this pattern when you divide a smaller number by a larger one - i.e., the quotient will be zero, and the remainder will be the dividend.
What happens to a number when you divide it by a fraction or decimal less than one?
The answer is larger than the original number.
What is 9 divided by 16 step by step?
0.5625
What if your remainder is bigger than your answer?
Then divide the remainder again by the divisor until you get a remainder smaller than your divisor or an remainder equal to zero. The remainder in a division question should never be larger than the "divisor", but the remainder often is larger than the "answer" (quotient). For example, if 435 is divided by 63, the quotient is 22 and the remainder is 57.
When dividing a decimal by a decimal why is it sometimes necessary to add a zero to the right of the decimal point in the quotient?
Because when you want to divide a decimal by a larger number, like 3 divided by 5, you need to add a zero to make the 3, 30, so you can divide, but then the quotient has to be a decimal because 5 does not go into 3 evenly
When you divide a decimal by a number greater than 1 how does the quotient compare with the divided?
The quotient can be smaller or larger - depending on whether the original was negative or positive. It will be unchanged if it was 0.
What happens to the quotient when you divide a fraction by a fraction?
The quotient is larger than the original fraction.
What is the quotient and remainder of 805 divided by 98483?
Quotient 0, remainder 805. Note that you will always get this pattern when you divide a smaller number by a larger one - i.e., the quotient will be zero, and the remainder will be the dividend.
How can you determine whether one number is a factor of another?
Divide the smaller into the larger. If the quotient is an integer, the smaller is a factor of the larger.
When you divide by a fraction why does the quotient get larger?
When you divide by a fraction, you are multiplying by it's reciprocal or opposite. So if you are dividing by 1/2, it is the same thing as multiplying by 2/1.
Why does it make sense to divide when you convert a measurement to a larger unit?
Because when you convert to a larger unit, you know that you will wind up with less of them, and if you divide by a number greater than ' 1 ', then the quotient is always a smaller number than you started with.
Why do you get a smaller answer when you divide a whole number by a decimal?
You may or you may not. If you divided by a decimal number that is greater than 1 then you will get a smaller number whereas if you divide by a number less than 1 then you will get a larger number.
What are the difference of two numbers is 6 The quotient of the two number is 3 if you divide the smaller into the larger What are the two numbers?
-9 and -3 or 3 and 9
What is quotient of powers?
When you divide powers having the same base, subtract the numerator from the denomenator. Put the base in the part of the fraction where the original exponent was larger.
What happens to a number when you divide it by a fraction or decimal less than one?
The answer is larger than the original number.
How can you test to determine whether a number is a factor of another number?
Divide the larger number by the smaller. If the result has no remainder (no decimal) then the smaller number is a factor of the larger.
