0
The opposite of a nonzero integer is found by changing its sign. For example, if you have a nonzero integer like +5, its opposite is -5. This relationship holds for any nonzero integer; the opposite will always be the same number with an inverted sign. Thus, the opposite of a nonzero integer ( x ) is simply ( -x ).
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What is a nonzero integer that divides another nonzero integer with a remainder of zero called?
A factor.
What is a nonzero place value?
an integer
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.
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 statements is true p is and integer and q is a nonzero integer?
If ( p ) is an integer and ( q ) is a nonzero integer, then the expression ( \frac{p}{q} ) will always yield a rational number. Additionally, since ( q ) is nonzero, ( p ) cannot be divided by zero, ensuring the division is valid. Furthermore, ( p + q ) will also be an integer, as the sum of two integers is always an integer.
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.
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 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 the absolute value of every nonzero integer?
Positive
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 statements is true p is and integer and q is a nonzero integer?
If ( p ) is an integer and ( q ) is a nonzero integer, then the expression ( \frac{p}{q} ) will always yield a rational number. Additionally, since ( q ) is nonzero, ( p ) cannot be divided by zero, ensuring the division is valid. Furthermore, ( p + q ) will also be an integer, as the sum of two integers is always an integer.
Is the quotient of an integer divided by a nonzero integer always a rational number?
Yes.
Is 40 a nonzero integer?
Yes, because a zero integer is simply 0
