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That's related with:* The fact that 1 is the identity element of multiplication
* The fact that division is the inverse operation of multiplication.
Take any number, "n" (not equal to zero).
Take the statement that n / n = 1. To get the equivalent multiplication, turn it all around: 1 x n = n.
This is equivalent to stating that 1 is the "identity element" of multiplication.
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Is the square of a number always bigger than the number itself?
-- When the number itself is bigger than ' 1 ' . . . yes. Always.-- When the number itself is less than ' 1 ' . . . . no. Never.-- When the number itself is ' 1 ', its square is also ' 1 ', so they're equal.
What do factors always start with?
The number 1 and itself.
What is y divided by y?
1. Whenever you divide a number by itself, the answer is 1, except when dividing by zero.
Why is quotient of a number divide by itself?
Any real number (besides zero) divided by itself is equal to 1. In algebraic terms, if x is a non-zero real number then x/x=1. Zero is the exception because dividing a number by zero is undefined. For example 5 divided by itself is 1. 5/5=1
Could dividing by 2 always produce a number less than the original number?
Dividing by two will always half the original number.
