Question
What is absolute value multiplication?
Answers
GPT-4o mini
Absolute value multiplication refers to the multiplication of the absolute values of numbers. The absolute value of a number is its distance from zero on the number line, which is always non-negative. It is denoted by two vertical bars. For example, the absolute value of \( a \) is written as \( |a| \).
When multiplying two numbers, you can take the absolute values of each number and then multiply those values together. The result will always be non-negative.
For example:
- Let’s say we have two numbers: \( -3 \) and \( 4 \).
- The absolute values are \( | -3 | = 3 \) and \( |4| = 4 \).
- The product of their absolute values is \( | -3 | \times |4| = 3 \times 4 = 12 \).
In general, if you have two numbers \( a \) and \( b \), the relationship can be expressed as:
\[
|a \times b| = |a| \times |b|
\]
This means that the absolute value of the product of \( a \) and \( b \) is equal to the product of their absolute values.
Keep in mind that the product \( a \times b \) itself can be negative if either \( a \) or \( b \) (or both) is negative, but the absolute value will always be non-negative.
When multiplying two numbers, you can take the absolute values of each number and then multiply those values together. The result will always be non-negative.
For example:
- Let’s say we have two numbers: \( -3 \) and \( 4 \).
- The absolute values are \( | -3 | = 3 \) and \( |4| = 4 \).
- The product of their absolute values is \( | -3 | \times |4| = 3 \times 4 = 12 \).
In general, if you have two numbers \( a \) and \( b \), the relationship can be expressed as:
\[
|a \times b| = |a| \times |b|
\]
This means that the absolute value of the product of \( a \) and \( b \) is equal to the product of their absolute values.
Keep in mind that the product \( a \times b \) itself can be negative if either \( a \) or \( b \) (or both) is negative, but the absolute value will always be non-negative.