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What is the product of two numbers that are reciprocals of one another explain why this is always the case?
A fraction multiplied by its reciprocal is always equal to one. This is because the reciprocal is an inversion of the fraction. The denominator of a fraction is the same number as the numerator of the reciprocal, and vice versa. The product of this is a fraction with the same numbers for the denominator and reciprocal, which is also known as an equivalent fraction. Equivalent fractions are always equal to one.
Why do you need a reciprocal when you divide a fraction?
You do not need it! Sometimes it is simpler to multiply by a number's reciprocal than to divide by it but that is not always the case.
How do you find the reciprocal of a whole number and a fraction?
Number x Reciprocal = 1 Therefore Reciprocal = 1/Number
The reciprocal of a number?
The reciprocal of a number is the number backwards in fraction form. For example, the reciprocal of 25 would be 1/25. The reciprocal of 5/10 would be 10/5.
How do you divide a negative number by a positive fraction?
You multiply the negative number by the reciprocal of the fraction.
What is the product of two numbers that are reciprocals of one another explain why this is always the case?
A fraction multiplied by its reciprocal is always equal to one. This is because the reciprocal is an inversion of the fraction. The denominator of a fraction is the same number as the numerator of the reciprocal, and vice versa. The product of this is a fraction with the same numbers for the denominator and reciprocal, which is also known as an equivalent fraction. Equivalent fractions are always equal to one.
Is the reciprocal of a fraction always a whole number?
No. The reciprocal of 3/4 is 4/3.
When is the reciprocal of a number greater than the number and when is it less than the number?
When a number is a fraction, the reciprocal will always be greater than the original number. When the original number is a whole number, the reciprocal will be a fraction, which is less than a whole number.
Why do you need a reciprocal when you divide a fraction?
You do not need it! Sometimes it is simpler to multiply by a number's reciprocal than to divide by it but that is not always the case.
How do you find the reciprocal of a whole number and a fraction?
Number x Reciprocal = 1 Therefore Reciprocal = 1/Number
How do you change a whole number into a fraction then make it a reciprocal?
put the #1 under the number to make it a fraction. then just switch them around Let's look at an example to help you understand this idea. 5 = 5/1 The reciprocal is just the fraction flipped over. In this case, 1/5 Thus, a whole number can always be shown as a fraction of itself over 1. The inverted fraction is the reciprocal of the whole number.
Does a reciprocal always equal the number one?
No, a reciprocal is just like any other fraction, it only equals one if both numbers in it are the same.
The product of a number and its reciprocal is always what?
The product of a number and its reciprocal is always one. That's what reciprocal means.
What is the reciprocal of a number?
the reciprocal of a number is 1 divided by the number. if you want to find the reciprocal of a fraction you would need to swap the fraction numbers around and then multiply by 1. and then divide the answer.It is 1 divided by the number.
How do you find a reciprocal?
A reciprocal is the number you must multiply another number by to get the product of 1. The reciprocal of 4 (which is the same as 4/1) is 1/4. The reciprocal of 3/8 is 8/3. The reciprocal of 13 is 1/13.This can also be expressed using exponents. The reciprocal of any value x is equal to x-1. So the reciprocal of a/b is (a/b)-1, which is equal to b/a.To find a reciprocal, put the number under one. If it is a fraction, flip the fraction. Whatever the reciprocal is, remember that it must always multiply to one with the original number.
Why do you take the reciprocal of the second fraction when dividing?
Because division by a number (the second fraction) is the same as multiplication by its reciprocal.
The reciprocal of a number?
The reciprocal of a number is the number backwards in fraction form. For example, the reciprocal of 25 would be 1/25. The reciprocal of 5/10 would be 10/5.
