Solve the Multiplication Equation: Finding the Factor in -12·8=-24

?:−12⋅8=−24 ?:-12\cdot8=-24

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the unknown
00:09 Break down 24 into factors 8 and 3
00:18 Divide by 8, and reduce what's possible
00:31 Isolate the unknown
00:50 Reduce what's possible
00:57 Negative times negative always equals positive
01:03 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

?:−12⋅8=−24 ?:-12\cdot8=-24

2

Step-by-step solution

Let's factor 24 into a multiplication exercise:

?:−12×8=−8×3 ?:-12\times8=-8\times3

We'll simplify the 8 in both terms and get:

?:−12=−3 ?:-12=-3

Let's multiply by negative 12:

?−12×−12=−3×−12 \frac{?}{-12}\times-12=-3\times-12

We'll simplify between negative 12 and get:

?=−3×−12 ?=-3\times-12

Let's note that we are multiplying two negative numbers, so the result will necessarily be a positive number:

?=+36 ?=+36

3

Final Answer

36 36

Practice Quiz

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What will be the sign of the result of the next exercise?

\( (-2)\cdot(-4)= \)

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