Multiplication, Division, and Integers - Practice Problems

Background

Let's do some practice problems!

Question

Evaluate the following:

1.   
2.   

Answer

1. 
2.  

Analysis

For all of these questions, we start with the Order of Operations.

Question 1

Notice for this question that we have two sets of division that are being multiplied together. Let's do each division first (we can do that because those divisions act, in a way, like brackets). So let's simplify the numbers in those fractions first:



Now let's evaluate the divisions:



And lastly we can do the multiplication:



Question 2

We have some brackets to do first, so let's do them:



Now scan across what we have and see that the remaining brackets don't hold operations in them - they are there to clarify that the numbers inside them are negative. Ok - so what else is there. I see two multiplication signs and we do those first before doing addition and subtraction:



And now we work the addition and subtraction from left to right:



Vocabulary used:

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Where might you have come from?

Fact-orials Index

Operations with different kinds of numbers:

• Multiplication, Division, and Integers
• Multiplication, Division, and Whole Numbers - Practice Problems

Where might we go?

Operations with different kinds of numbers:

• Multiplication, Division, and Rational Numbers
• Multiplication, Division, and Rational Numbers - Practice Problems