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Buddy Pacocha

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4y ago

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What is a nonzero integer between -1 and 1?

There is none. An integer has to be a number with no decimal places


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


How do you know the opposite of a nonzero integer?

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 ).


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.


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


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.