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

Question

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

Video Solution

Solution Steps

00:05 Let's solve this problem step by step.
00:09 Remember, negative times positive always equals negative.
00:15 Let's multiply the numbers and plug them into the exercise.
00:26 Express division as a fraction. Pause now if you need.
00:32 Remember, a negative divided by a negative is positive.
00:43 Calculate to find the whole number and the remainder.
00:49 Break down 8 into four and two. Keep it simple.
00:55 Simplify wherever possible and keep going.
00:59 And that's the solution! Great job.

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}