Solve -13×4÷(-8): Working with Negative Integer Operations

Question

134:8= -13\cdot4:-8=

Video Solution

Solution Steps

00:00 Solve
00:04 Negative times positive is always negative
00:10 Let's calculate the multiplication and substitute in the exercise
00:21 Write division as a fraction
00:25 Negative divided by negative is always positive
00:38 Calculate to get a whole number and remainder
00:44 Factor 8 into factors 4 and 2
00:50 Reduce what's possible
00:53 And this is the solution to the question

Step-by-Step Solution

Let's solve the exercise from left to right.

Note that we are first multiplying a negative number by a positive number, therefore the result must be a negative number:

13×4=52 -13\times4=-52

Now we got the exercise:

52:8= -52:-8=

Let's write the exercise as a simple fraction:

528= \frac{-52}{-8}=

Note that we are dividing between two negative numbers, therefore the result must be a positive number:

528= \frac{52}{8}=

Let's convert it to an addition exercise:

6+48= 6+\frac{4}{8}=

Let's break down the 8 into a multiplication exercise:

6+44×2= 6+\frac{4}{4\times2}=

Let's reduce the 4 in both eight and the fraction's denominator:

6+12=612 6+\frac{1}{2}=6\frac{1}{2}

Answer

612 6\frac{1}{2}