Table of Contents
- 1 Why does multiplying decimals make it smaller?
- 2 Why is the product of two decimals smaller than either factor?
- 3 What happens when you times two decimals?
- 4 What happens when you multiply by a number less than 1?
- 5 Can multiplying two fractions result in a product smaller than either one of the factors?
- 6 When we multiply two fractions together the product is less than the two factors when?
Why does multiplying decimals make it 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.
Why is the product of two decimals smaller than either factor?
This is because you are finding a part of a part: 0.2 of 0.4 is 0.08. Thus, when you multiply two decimal factors, where each is less than one, the product will be less than each individual factor.
Why does multiplying fractions make them 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.
What happens when you times two decimals?
To multiply decimals, first multiply as if there is no decimal. Finally, put the same number of digits behind the decimal in the product. For example, if we multiply 7.61✕9.2, we will have 3 digits behind the decimal in our product because there are 3 digits behind the decimals in the factors.
What happens when you multiply by a number less than 1?
Whenever you multiply a positive number by a positive factor less than 1, the product will be smaller than the original number. Both factors are less than 1, and the product is less than both factors. Of course, whenever you multiply a number by 1, the product will be equal to the original number.
When multiplying two fractions less than one why is the product less than either factor?
If you think about it, the product will always be smaller than either of the factors individually. This is because multiplying by a decimal less than 1 will necessarily produce a result that is less than the original value. So as both factors are less than 1 the product is some fraction of one of the original factors.
Can multiplying two fractions result in a product smaller than either one of the factors?
Whenever you multiply a positive number by a positive factor less than 1, the product will be smaller than the original number. For example, \frac 12 \times\frac 34 = \frac 38. Both factors are less than 1, and the product is less than both factors.
When we multiply two fractions together the product is less than the two factors when?
The reason is that you are taking a FRACTION of the number, not a whole of it, or more than a whole of it. So, if you take 1/2 or 1/3 or 1/10 of a number, you are taking a FRACTION (not a whole) of that number, so the result will be smaller (less).
When multiplying decimals How do you determine where to place the decimal in the answer?
Multiplying decimals is the same as multiplying whole numbers except for the placement of the decimal point in the answer. When you multiply decimals, the decimal point is placed in the product so that the number of decimal places in the product is the sum of the decimal places in the factors.