What times what times with equals -80
The Correct Answer and Explanation is:
✅ Correct Answer:
There are many possible answers because infinitely many pairs of numbers can multiply to give –80.
Here are some examples:
- –10 × 8 = –80
- –8 × 10 = –80
- –20 × 4 = –80
- –5 × 16 = –80
- –1 × 80 = –80
- –√80 × √80 = –80
- –0.5 × 160 = –80
So, the general idea is:
Any pair of numbers where one is positive and one is negative, and their absolute values multiply to 80.
📘 Explanation
To understand the question “What times what equals –80?”, we need to recall how multiplication works with negative and positive numbers.
When two numbers are multiplied:
- Positive × Positive = Positive
- Negative × Negative = Positive
- Positive × Negative = Negative
- Negative × Positive = Negative
So to get a negative product like –80, we must multiply a positive number by a negative number.
The product (or result) is the number we get after multiplication. In this case, we are given the product: –80.
This means:
- We are looking for two numbers (call them a and b) such that:
a × b = –80 - This also means that one number is negative and the other is positive.
- The absolute values (just the positive versions of the numbers) must multiply to 80.
So we ask: what two numbers multiply to 80?
Examples:
- 1 × 80
- 2 × 40
- 4 × 20
- 5 × 16
- 8 × 10
Now, we give one of these numbers a negative sign to make the product –80:
- –5 × 16 = –80
- 10 × –8 = –80
- –20 × 4 = –80
So the answer isn’t just one pair, but any two numbers (one positive, one negative) whose product equals –80.
This concept is very useful in solving algebraic equations, factoring polynomials, and understanding how negative numbers behave in multiplication.
