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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.
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.
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.
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.
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.
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.
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 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.
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.
When you divide a positive number by a fraction that is between 0 and 1 why is the answer is always greater than the whole number?
When you divide a number by two, you're cutting it in half. Another way to put it is multiplying by 1/2.10 divided by 2 = 510 x 1/2 = 52 and 1/2 are what is known as reciprocals. The definition of a reciprocal is a quantity related to another so that their product is one.Dividing by a number is the same as multiplying by its reciprocal..When you divide a number by a proper fraction (between 0 and 1) its reciprocal will be an improper fraction (greater than 1).When you divide a number by a fraction less than 1, it is the same as multiplying it by a number greater than 1. The answer will be greater than the original number.3 divided by 1/2 = 6 because 3 is half of 6.====================================Answer #2 (Perhaps a somewhat more intuitive answer):Because . . .-- The fraction is a piece of a whole thing.-- A piece of a whole thing can always go into a group of thingsmore than the number of things in the group.
Dividing by a fraction will increase the number but multiplying by a fraction will decrease the number?
true
