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What are the nonzero multiples for number 2?
They are the positive and negative even numbers.
Why is -x2 always negative for a nonzero value of x?
The expression -x² is always negative for any nonzero value of x because squaring a nonzero number (whether positive or negative) results in a positive value. Thus, when you take the negative of that positive value, you end up with a negative result. For example, if x = 2, then -x² = -4, and if x = -2, then -x² = -4 as well. In both cases, -x² is negative.
How can you. Evaluate a nonzero number with a negative integer exponent?
To evaluate a nonzero number with a negative integer exponent, you can use the rule that states ( a^{-n} = \frac{1}{a^n} ), where ( a ) is the nonzero number and ( n ) is the positive integer. For example, ( 2^{-3} ) can be evaluated as ( \frac{1}{2^3} = \frac{1}{8} ). This method effectively converts the negative exponent into a positive one by taking the reciprocal of the base raised to the corresponding positive exponent.
What is a non zero number?
A mathematical element that when added to another numeral makes the same numeral
Is the third power of any nonzero number is negative?
Not if the original number is positive, otherwise yes.
What are nonzero integers?
It means that the number is an integer, AND that it is not zero.
How many are possible nonzero remainders by 3?
In division by three, possible nonzero remainders are 1 and 2.
What is the number fifteen times the square of a nonzero number is equal to 15 times the number?
The equation can be expressed as ( 15x^2 = 15x ), where ( x ) is the nonzero number. Dividing both sides by 15 (since 15 is nonzero) simplifies to ( x^2 = x ). This implies ( x(x - 1) = 0 ), giving solutions ( x = 0 ) or ( x = 1 ). Since we are looking for a nonzero number, the solution is ( x = 1 ).
What is a nonzero whole?
That sounds like a nonzero whole number, which could be either negative or positive, so -57, 896, 52, -99 etc., and infinitely many more, would qualify.
Why is the reciprocal of the opposite of a nonzero number the opposite of the reciprocal of the number?
Taking the reciprocal (multiplicative inverse) does not affect the positive or negative status of an integer. So the reciprocal of a negative number is negative and the reciprocal of a positive number is positive. The reciprocals will be opposites (positive/negative) just as the original numbers were.
Is the quotient of two nonzero numbers never a rational number?
The quotient of two nonzero integers is the definition of a rational number. There are nonzero numbers other than integers (imaginary, rational non-integers) that the quotient of would not be a rational number. If the two nonzero numbers are rational themselves, then the quotient will be rational. (For example, 4 divided by 2 is 2: all of those numbers are rational).
Explain Why the product of two nonzero absolute values is always a positive number?
The absolute value of a number is its distance from zero on the number line, so it is always non-negative. When you multiply two nonzero absolute values, you are essentially multiplying two non-negative numbers together. In multiplication, a positive number multiplied by a positive number always results in a positive number, hence the product of two nonzero absolute values is always positive.
