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

Question

?:128=24 ?:-12\cdot8=-24

Video Solution

Solution Steps

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 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

Answer

36 36