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How Every nonzero integer has a multiplicative inverse as an integer?
A nonzero integer does not have a multiplicative inverse that is also an integer. The multiplicative inverse of an integer ( n ) is ( \frac{1}{n} ), which is only an integer if ( n ) is ( 1 ) or ( -1 ). For all other nonzero integers, the result is a rational number, not an integer. Therefore, only ( 1 ) and ( -1 ) have multiplicative inverses that are integers.
What is a nonzero integer that divides another nonzero integer with a remainder of zero called?
A factor.
Is the set of nonzero integers closed under division?
The set of nonzero integers is not closed under division. This is because dividing one nonzero integer by another can result in a non-integer. For example, ( 1 \div 2 = 0.5 ), which is not an integer. Therefore, the result of the division is not guaranteed to be a member of the set of nonzero integers.
What is a nonzero place value?
an integer
How many are possible nonzero remainders by 3?
In division by three, possible nonzero remainders are 1 and 2.
How Every nonzero integer has a multiplicative inverse as an integer?
A nonzero integer does not have a multiplicative inverse that is also an integer. The multiplicative inverse of an integer ( n ) is ( \frac{1}{n} ), which is only an integer if ( n ) is ( 1 ) or ( -1 ). For all other nonzero integers, the result is a rational number, not an integer. Therefore, only ( 1 ) and ( -1 ) have multiplicative inverses that are integers.
When a nonzero integer is divided by it's opposite is -1?
Yes, when a nonzero integer is divided by it's opposite it's value equals -1
if p is an p integer and q is a nonzero integer?
if p is an integer and q is a nonzero integer
What is a nonzero integer that divides another nonzero integer with a remainder of zero called?
A factor.
Is the set of nonzero integers closed under division?
The set of nonzero integers is not closed under division. This is because dividing one nonzero integer by another can result in a non-integer. For example, ( 1 \div 2 = 0.5 ), which is not an integer. Therefore, the result of the division is not guaranteed to be a member of the set of nonzero integers.
What is always the result of dividing an integer when the divisor is nonzero?
A rational number is always the result of dividing an integer when the divisor is nonzero.
Should the quotient of an integer and a nonzero integer always be rational?
No.
What is a nonzero place value?
an integer
How many are possible nonzero remainders by 3?
In division by three, possible nonzero remainders are 1 and 2.
If N is a nonzero integer then n plus 1 divided by n is always greater than 1?
2
Is 40 a nonzero integer?
Yes, because a zero integer is simply 0
Can the quotient of an integer be divided by a nonzero integer a rational number always?
Yes, it is.
