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When you multiply a fraction times a fraction the product will be smaller than either factor Why?
When you multiply two numbers greater than one, you create many groups of a given number, so the result is greater than either the number of groups or the number you created many groups of.
When you multiply a number by a number less than one, you create less than one group of a given number. If you create only part of one group of a given number, it makes sense that the result will be less than the number you started with.
What else can I help you with?
If you multiply two decimals less than 1 can you predict whether the product will be less than or greater than either of the factors Explain?
When you multiply two decimals that are both less than 1, the product will always be less than either of the factors. This is because each factor represents a fraction of a whole, and multiplying these fractions results in an even smaller fraction. For example, multiplying 0.5 and 0.3 yields 0.15, which is less than both 0.5 and 0.3. Thus, the product is guaranteed to be less than either factor.
If you multiply two decimals less then 1 can you predict whether the product will be less then either of the factors?
Yes, if you multiply two decimals that are both less than 1, the product will always be less than either of the factors. This is because multiplying two fractions (or decimals) that are both less than one results in a smaller fraction. For example, multiplying 0.5 by 0.3 yields 0.15, which is less than both 0.5 and 0.3.
Why does your answer get smaller when you multiply fractions?
When you multiply fractions, you are essentially taking a part of a part. Each fraction represents a portion of a whole, so multiplying them results in a smaller portion of the original quantity. For example, if you multiply (\frac{1}{2}) by (\frac{1}{3}), you are finding half of a third, which is (\frac{1}{6}), a smaller value than either of the original fractions. Thus, the product of fractions is always less than or equal to the individual fractions, provided both are positive and less than one.
How do you multiply a fraction?
Multiply the numerators together. Multiply the denominators together. Reduce, if possible. The answer when multiplying fractions together will always be lower than either.
Is the numerator the smaller number or the bigger number?
It can be either. It is the number at the top of a fraction.
When you multiply two thirds by a fraction less than one how does the product compare to the factor?
The product is less than either factor.
When you multiply two thirds by a fraction less than one how does the product compare to the factors?
The product is less than either factor.
If you multiply two decimals less than 1 can you predict whether the product will be less than or greater than either of the factors Explain?
When you multiply two decimals that are both less than 1, the product will always be less than either of the factors. This is because each factor represents a fraction of a whole, and multiplying these fractions results in an even smaller fraction. For example, multiplying 0.5 and 0.3 yields 0.15, which is less than both 0.5 and 0.3. Thus, the product is guaranteed to be less than either factor.
Why is the product of two positive proper fractions always less than either fraction?
because when you multiply the denominators it creates a much smaller proportion. for example multiply 0.5 by 0.5, the result is 0.25 in fractions it is 1/2 x 1/2, the result 1/4
If you multiply two decimals less then 1 can you predict whether the product will be less then either of the factors?
Yes, if you multiply two decimals that are both less than 1, the product will always be less than either of the factors. This is because multiplying two fractions (or decimals) that are both less than one results in a smaller fraction. For example, multiplying 0.5 by 0.3 yields 0.15, which is less than both 0.5 and 0.3.
Why does your answer get smaller when you multiply fractions?
When you multiply fractions, you are essentially taking a part of a part. Each fraction represents a portion of a whole, so multiplying them results in a smaller portion of the original quantity. For example, if you multiply (\frac{1}{2}) by (\frac{1}{3}), you are finding half of a third, which is (\frac{1}{6}), a smaller value than either of the original fractions. Thus, the product of fractions is always less than or equal to the individual fractions, provided both are positive and less than one.
Why when you multiply decimals the product of the numbers gets smaller?
Yes, when any number is multiplied by a decimal, as long as the decimal is less than 1, the product is smaller that that number (assuming we are just dealing with positive numbers) An example is 5 times .4, which equals 2. 2 is less than 5. Another example, this time where both numbers are decimals, is .3 times .1 which equals .03. .03 is smaller that both .3 and .1. The reason it gets smaller is because by multiplying by a decimal, you are trying to get a fraction of the number, which will always be less than that number. For example, 3 times .5 = 1.5. Here, the result is a fraction (1/2) of three.
Why is it when you multiply two proper fractions your product is less than either factor?
Remember the denominator shows how many equal parts the item is divided into, so because you are multiplying the number of parts (you are increasing the number of cuts) the denominator will get bigger ...which in turn means the pieces will be smaller. Just remember the higher a denominator is the smaller it will be in size...multiplying a fraction means you are multiplying the number of cuts and sections that is why the size gets smaller.
How do you multiply a fraction?
Multiply the numerators together. Multiply the denominators together. Reduce, if possible. The answer when multiplying fractions together will always be lower than either.
How can you solve the circumference of a circle if pi has been used as a fraction?
You can either 1)You can divide out the fraction used for pi then multiply by the diameter or 2)Put the diameter over 1 then multiply across with the fraction used for pi.
Is the numerator the smaller number or the bigger number?
It can be either. It is the number at the top of a fraction.
Why is the product of two proper fractions less than either of the fractions?
A proper fraction is less than 1. Whenever you multiply something by a number < 1, the result (product) is less than the original number. So when you multiply a proper fraction by a number less one (such as another proper fraction, the product is less than the original proper fraction. The only time a product involving a given number is larger than the given number is when you multiply the given number by a number that is > 1. Since all proper fractions are < 1, products involving them are always less than the original given number.
