Why does a number get bigger when you divide by a fraction?

Something positive less than one goes into a (positive) number more than that number of times. A fraction less than one goes into a (positive) number more than that number of times. Hence dividing by a fraction (less than one) increases the size of a number (whether that number is a fraction or not).

What happens to decimals when you divide?

When dividing by decimals, move the decimal point in the dividend the same number of places to the right as you move the decimal point in the divisor.

What is the rule for dividing with decimals?

To divide a decimal number by a whole number, long divide as you would with two whole numbers, but put the decimal point in the answer at the same place it is at in the dividend. If it does not divide evenly, add a 0 to the end of the dividend and continue dividing until there is no remainder.

Why is a decimal times a decimal smaller?

When multiplying a number by a decimal less than one, the product will be smaller than the number being multiplied. This is because we are finding a fractional amount of a quantity. For example, 0.1 x 0.8 = 0.08, because the question is asking us to find one tenth of eight tenths.

Does division make a number smaller?

When you divide by a whole number the answer is smaller than the original number.

What grade do you divide decimals?

Divide decimals | 5th grade | Math | Khan Academy.

Why is there a need for us to know how do you divide decimals mentally?

When you multiply and divide with decimals you can use mental strategies so that you can solve problems in your head. When you multiply a decimal by 10, 100, 1,000, 10,000 or other powers of ten, you can just move the decimal to the right for multiplication or the left for division to form your answer.

Why multiplying fractions the number gets smaller?

When you multiply by a fraction, you are finding that fraction, or portion, of the original whole. Assuming that you’re dealing with “proper” fractions (which are smaller than 1), then you must end up with a smaller value, because you’re taking only part of the original value.

How do you explain decimal multiplication?

How to Multiply Decimals

1. Multiply normally, ignoring the decimal points.
2. Then put the decimal point in the answer – it will have as many decimal places as the two original numbers combined.

Do you always divide the bigger number first?

A common misconception among students is that, when dividing, you always put the larger number first. When this concept “sticks”, it is extremely difficult to undo later when students learn that you can, in fact, divide a smaller number by a larger one.