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Math Lesson 1.4.2 - Order of Operation in Arithmetic Expressions Containing Only Multiplications and Division

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Welcome to our Math lesson on Order of Operation in Arithmetic Expressions Containing Only Multiplications and Division, this is the second lesson of our suite of math lessons covering the topic of Order of Operations and PEMDAS Rule, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.

Order of Operation in Arithmetic Expressions Containing Only Multiplications and Division

Multiplication and division have the same order of priority; this means that, when arithmetic expressions only contain multiplications and divisions, the operations are completed from left to right regardless of the type of operation that comes first. Let's consider a couple of examples.

Example 2

Calculate the value of the following arithmetic expressions

  1. 8 × 3 ÷ 6 × 5 ÷ 10 =
  2. 21 ÷ 7 × 10 ÷ 6 × 4 =

Solution 2

  1. Since the expression contains only multiplications and divisions, we start doing the operations from left and work to the right. We have
    8 × 3 ÷ 6 × 5 ÷ 10
    = 24 ÷ 6 × 5 ÷ 10
    = 4 × 5 ÷ 10
    = 20 ÷ 10
    = 2
  2. Again, the expression contains only multiplications and divisions; hence, we start doing the operations from left and work to the right. We have
    21 ÷ 7 × 10 ÷ 6 × 4
    = 3 × 10 ÷ 6 × 4
    = 30 ÷ 6 × 4
    = 5 × 4
    = 20

More Order of Operations and PEMDAS Rule Lessons and Learning Resources

Arithmetic Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
1.4Order of Operations and PEMDAS Rule
Lesson IDMath Lesson TitleLessonVideo
Lesson
1.4.1Order of Operation in Arithmetic Expressions Containing Only Addition and Subtraction
1.4.2Order of Operation in Arithmetic Expressions Containing Only Multiplications and Division
1.4.3Expressions Containing Additions, Subtractions, Multiplications and Divisions
1.4.4Expressions Containing Exponents
1.4.5Expressions Containing Brackets. PEMDAS Rule
1.4.6Types of Parenthesis and Their Order of Priority
1.4.7Working with Negative Numbers
1.4.8Powers of Negative Numbers

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  7. Continuing learning arithmetic - read our next math tutorial: Multiples, Factors, Prime Numbers and Prime Factorization including LCM and GCF

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