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How does the product compare to each factor when multiplying a whole number by any mixed number?
The product will be greater than either of the factors.
What statement about multiplying fractions and mixed numbers is not true?
A common misconception is that multiplying fractions always results in a smaller number. While it is true that multiplying two proper fractions (less than one) results in a smaller fraction, multiplying a fraction by a mixed number can yield a larger product if the mixed number is greater than one. Therefore, the statement "Multiplying fractions always results in a smaller number" is not true.
How is the product of a proper fraction and a whole number similar to and different from the product of two proper fraction?
The product of a proper fraction and a whole number results in a smaller number than the whole number, maintaining the same basic numerical relationship as multiplying two proper fractions, which also yields a smaller number. However, the key difference lies in the nature of the multiplicands; a whole number has a value greater than or equal to one, while a proper fraction is always less than one. Consequently, when multiplying a proper fraction by a whole number, the result is a proper fraction or whole number, whereas the product of two proper fractions will always be a proper fraction.
When multiplying fraction by fraction the product will always be?
The only generalisation posible is that it will always be a rational number. The product can be positive or negative; it can be a fraction or an integer, it can be larger or smaller.
Did changing a whole number to a fraction change the product?
Changing a whole number to a fraction does not change the product when multiplying by that number. For example, the whole number 3 can be expressed as the fraction 3/1, and multiplying by either form yields the same result. Thus, the product remains unchanged regardless of whether you use the whole number or its fractional equivalent.
How does the product compare to each factor when multiplying a whole number by any mixed number?
The product will be greater than either of the factors.
What statement about multiplying fractions and mixed numbers is not true?
A common misconception is that multiplying fractions always results in a smaller number. While it is true that multiplying two proper fractions (less than one) results in a smaller fraction, multiplying a fraction by a mixed number can yield a larger product if the mixed number is greater than one. Therefore, the statement "Multiplying fractions always results in a smaller number" is not true.
How is the product of a proper fraction and a whole number similar to and different from the product of two proper fraction?
The product of a proper fraction and a whole number results in a smaller number than the whole number, maintaining the same basic numerical relationship as multiplying two proper fractions, which also yields a smaller number. However, the key difference lies in the nature of the multiplicands; a whole number has a value greater than or equal to one, while a proper fraction is always less than one. Consequently, when multiplying a proper fraction by a whole number, the result is a proper fraction or whole number, whereas the product of two proper fractions will always be a proper fraction.
Is the product of a fraction that is less than one and any whole number less than or greater than the whole number?
the answer is smaller than the whole number because you're taking a fraction of the second number. it's like multiplying by a decimal.
When multiplying fraction by fraction the product will always be?
The only generalisation posible is that it will always be a rational number. The product can be positive or negative; it can be a fraction or an integer, it can be larger or smaller.
Did changing a whole number to a fraction change the product?
Changing a whole number to a fraction does not change the product when multiplying by that number. For example, the whole number 3 can be expressed as the fraction 3/1, and multiplying by either form yields the same result. Thus, the product remains unchanged regardless of whether you use the whole number or its fractional equivalent.
When multiplying fraction by fraction the product will always be what?
The only thing that you can be certain of is that the answer will be a number. It could be irrational or rational, it could be a proper fraction, integer or improper (mixed) fraction.
Is the product of a fraction less than one?
product of a fraction less than 1 and a whole number greater than or less than the whole Number
When you multiply a fraction by a number greater than one how does the product compare to the fraction?
The absolute value of the answer will be greater than the absolute value of the original.
Why is the answer larger when you multiply a whole number by a whole number and smaller when you multiply a whole number by a proper fraction?
It is larger because the two whole numbers form a greater, larger number when multiplpied together. It is smaller when u multiply a whole number by a fraction because a fraction is a decimal and u get a smaller number when multiplying a number like 1/7 of 5
If you multiply 6 by 14 will your answer be greater or less than 6 Explain?
If that is 14, then it will be greater than 6 as you are multiplying by a number greater than 1. If that is 1/4, then it will be less than 6 as you are multiplying by a (positive) fraction less than 1.
Is the product of fraction less than 1 and a whole number greater than or less then the whole number?
It can be greater than or less than it.
