is zero a multiple of every number?

Find the prime factorization of the number, and write it in exponent form.

198

Compute the value of the given expression.

_|8|_ |11-8|

Evaluate the expression.

-8x + 8y, for x = 8 and y = -1

zero is not a multiple of every number. for the last equation, substitute x for 8 and y for -1. the answer is about -72.

1. Is zero a multiple of every number?

To determine if a number is a multiple of another number, divide the first number by the second number. If the division results in a whole number, then the first number is a multiple of the second. However, zero cannot be divided by any number, including itself, to give a whole number. Therefore, zero is not a multiple of every number.

2. Find the prime factorization of the number 198.
To find the prime factorization of a number, follow these steps:
- Start by dividing the number by the smallest prime number (2).
- If the number is divisible by the prime number, divide it as many times as possible.
- Move on to the next prime number and repeat the process until the number cannot be divided any further.

Prime factorization of 198:
= 2 × 3^2 × 11

3. Compute the value of the given expression: _|8|_ |11-8|
To calculate this expression, we need to evaluate the absolute value of the difference between 11 and 8, and then multiply it by the absolute value of 8.

Absolute value of 11 - 8 = |11 - 8| = |3| = 3
Absolute value of 8 = |8| = 8

So, the value of the expression is 3 × 8 = 24.

4. Evaluate the expression -8x + 8y for x = 8 and y = -1.
Substitute the given values for x and y into the expression and calculate:

-8(8) + 8(-1) = -64 + (-8) = -72

Thus, the value of the expression is -72.