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Q: Is the remainder always less than the quotient when dividing whole numbers?
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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.


When dividing a fraction is the quotient always a whole number?

Not necessarily.


What is the rule for dividing rational numbers with different signs?

The numerical value is the same as the quotient of the two positive equivalents but the sign is always negative.


Is quotient known as remainder?

No. When you divide a number by another number, let's say 26/4, you can't always get a perfect number. In this case, 6*4 is 24, and you have 2 "remainder", or 2 left over. The quotient is the whole answer, in this case 6 remainder 2. So the remainder is part of the quotient, but not the whole quotient itself.


When dividing a positive number by a positive number the quotient is?

The answer is always positive. If the signs are the same (positive by positive, negative by negative), then the quotient is always positive. If the signs are different (positive by negative, negative by positive), then the quotient is always negative.


The quotient of two negative numbers is always?

Positive.


What is the largest remainder you can have when you divide by 25?

24. The largest remainder is always one less than the number by which you are dividing (the divisor).


Is the quotient of two irrational numbers always irrational?

yes


Why is there no such thing as a remainder when dividing decimals?

because you can always add a 0 when using decimals


Is the remainder of a negative number divided by a positive number negative?

A subtle point is that the remainder is always a positive number. So -7 divided by 3 is -3, remainder 2 (rather than -2, remainder -1). This is important for the date of Easter because we must often calculate the remainder when dividing into a negative number. Since in that case we are not interested in the quotient it is sufficient to calculate the negative remainder and then simply add to it the number we were dividing by. So -11 mod 3 may be calculated as: -11 divided by 3 is -3, remainder -2, so the number required is -2 + 3 = 1.


What is 30 over 9 as a mixed number?

3 and 3/9. There are three basic steps to convert an improper fraction to a mixed number: Divide the numerator by the denominator (you can use long division if you want to!) to find out what the quotient and the remainder are. If the fraction is made up of whole numbers, you will always get an integer quotient and an integer remainder. Note down what your quotient, remainder, and original denominator is. Now rewrite these three numbers in Step 2 in a mixed number format where: the quotient is the whole number next to the proper fraction the remainder is the numerator of the proper fraction the original denominator is the new denominator of the proper fraction Let’s apply these steps to our problem. What is 30 divided by 9? If you do some thinking or long division, you should get: 30 ÷ 9 → Quotient of 3 and a remainder of 3. Now that we have all the numbers we need, let’s piece together our answer: 30 ÷ 9 = 3 3/9


If the quotient of two numbers is positive then both numbers must be positive?

Yes, but not always because the quotient of two negative numbers will be positive as for example -6/-2 = 3