To find the missing number when you know the product and one of the factors, you can use the property of multiplication, which states that product = number1 × number2.
Here, you are given:
- The product of the two numbers is -9.
- One of the numbers (number1) is -12.
Let's denote the other number as number2.
You can set up the equation based on the multiplication property:
[tex]\[ \text{number1} \times \text{number2} = \text{product} \][/tex]
Substituting the given values into the equation:
[tex]\[ (-12) \times \text{number2} = -9 \][/tex]
To isolate number2, you need to divide both sides of the equation by -12:
[tex]\[ \text{number2} = \frac{\text{product}}{\text{number1}} \][/tex]
Substitute the values:
[tex]\[ \text{number2} = \frac{-9}{-12} \][/tex]
Simplify the fraction:
[tex]\[ \text{number2} = \frac{-9}{-12} = \frac{3 \times (-3)}{3 \times (-4)} = \frac{-3}{-4} = 0.75 \][/tex]
Therefore, the other number is [tex]\( 0.75 \)[/tex].
