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How are the reciprocal of nonzero number and the multiplicative inverse of the numbers related?
For numbers with ordinary multiplication defined on them, they are the same.
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.
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.
How is multiplying and dividing rational numbers similar?
Dividing by a non-zero rational number is the same as multiplying by its reciprocal.
What happens when you are left with two numbers of the same value how do you work out the median?
If the two numbers are the same value, then that is the median.
What is the reciprocal of 1 over 2?
the reciprocal of 1 over 2, is 2. reciprocal just means you flip the numbers over, in this case it leaves 2 over 1 which is the same as 2 divided by 1 which is 2. for example the reciprocal of 10 is 1 over 10 and the reciprocal over 1 over 7 is 7.
What are numbers called that have the same value?
Equivalent numbers.
Why is dividing by a number the same as multiplying by its reciprocal?
That is the definition of reciprocal.
How do you use reciprocals to solve a division problem with rational numbers?
Division by any non-zero number is the same as multiplication by its reciprocal.
Why is the reciprocal of a nonzero number is not the same as the opposite of the number?
Because "opposite" doesn't mean anything with respect to numbers, or rather, it doesn't have a unique and definite meaning with respect to numbers.
Which of these numbers does 5 have a value the same value as five tens?
7.351
What pattern do you see in numbers that have the same absolute value?
If two numbers have the same absolute value, and the two numbers are not the same number, then the two numbers are negatives of each other. Or you could say that they have the same magnitude, but opposite signs. Example: |-5| = |5| = 5
