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What is a whole number that divides a nonzero whole number and a remainder of zero?
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.
How many are possible nonzero remainders by 3?
In division by three, possible nonzero remainders are 1 and 2.
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.
A whole numbe that divides a nonzero whole number with remainder 0?
A factor
What is a whole number that divides a nonzero whole number and a remainder of zero?
factor
if p is an p integer and q is a nonzero integer?
if p is an integer and q is a nonzero integer
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.
How many are possible nonzero remainders by 3?
In division by three, possible nonzero remainders are 1 and 2.
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.
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
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.
