Math Drills

Rules of Calculation worksheets for Grade 4 (Elementary School)

What this unit covers

The rules about where to start inside an expression are settled here. Order is confirmed with mixed operations and with parentheses, the work moves on to smart calculation using the commutative, associative and distributive laws, and finally expressions using a box turn a situation directly into an expression.

The first hurdle is working strictly left to right, so multiplication never gets its turn and 6 + 2 × 3 comes out as 24. In a chain of multiplication and division the opposite happens, with 12 ÷ 2 × 3 read as 12 ÷ 6 and answered 2. With the distributive law, the number outside the parentheses gets multiplied into only one of the terms.

Learning steps

Order of Operations with Whole Numbers

  • Mixed Operations (3 Terms)
  • Multiplication with Addition and Subtraction (4 Terms)
  • Chain of Multiplication and Division (Left to Right)
  • Calculations with Parentheses
  • Two Sets of Parentheses
  • Parentheses with Multiplication and Division (4 Terms)

Commutative, Associative, and Distributive Laws

  • Chain of Addition (Commutative and Associative)
  • Chain of Multiplication (Commutative and Associative)
  • Parentheses in Addition and Subtraction (Associative Law)
  • Parentheses in Multiplication and Division (Associative Law)
  • Smart Calculation (Using Nearby Numbers)
  • Distributive Law
  • Commutative Law, Addition (Fill in the Blank)
  • Round Numbers, Addition (Fill in the Blank)
  • Commutative Law, Multiplication (Fill in the Blank)
  • Doubling, Halving, Multiplication (Fill in the Blank)
  • Distributive Law (Word Problems)

Expressions Using a Box

  • Expressions Using a Box (Writing Addition and Subtraction)
  • Expressions Using a Box (Writing Multiplication and Division)
  • Expressions Using a Box (Word Problems)

Worksheets

Order of Operations with Whole Numbers

  • Calculation (Without Parentheses)

    • Mixed Operations (3 Terms)6 questions
    • Multiplication with Addition and Subtraction (4 Terms)6 questions
    • Chain of Multiplication and Division (Left to Right)6 questions
  • Calculation (With Parentheses)

    • Calculations with Parentheses6 questions
    • Two Sets of Parentheses6 questions
    • Parentheses with Multiplication and Division (4 Terms)6 questions

Commutative, Associative, and Distributive Laws

  • Fill in the Blank

    • Commutative Law, Addition (Fill in the Blank)2 questions
    • Round Numbers, Addition (Fill in the Blank)4 questions
    • Commutative Law, Multiplication (Fill in the Blank)2 questions
    • Doubling, Halving, Multiplication (Fill in the Blank)4 questions
    • Parentheses in Addition and Subtraction (Associative Law)6 questions
  • Calculation

    • Chain of Addition (Commutative and Associative)4 questions
    • Chain of Multiplication (Commutative and Associative)4 questions
    • Distributive Law4 questions
    • Parentheses in Multiplication and Division (Associative Law)4 questions
    • Smart Calculation (Using Nearby Numbers)4 questions
  • Word Problems

    • Distributive Law (Word Problems)5 questions

Expressions Using a Box

  • Word Problems (Setting Up Addition and Subtraction)

    • Expressions Using a Box (Writing Addition and Subtraction)5 questions
  • Word Problems (Setting Up Multiplication and Division)

    • Expressions Using a Box (Writing Multiplication and Division)5 questions
  • Word Problems (Application)

    • Expressions Using a Box (Word Problems)6 questions

Frequently asked questions

What do the “Rules of Calculation” worksheets for Grade 4 (Elementary School) practice?
They cover problems such as Mixed Operations (3 Terms), Multiplication with Addition and Subtraction (4 Terms), Chain of Multiplication and Division (Left to Right), Calculations with Parentheses, Two Sets of Parentheses, Parentheses with Multiplication and Division (4 Terms), Chain of Addition (Commutative and Associative), Chain of Multiplication (Commutative and Associative).
How many “Rules of Calculation” worksheets are there for Grade 4 (Elementary School)?
22 worksheets are free to use. Every one is a printable PDF and comes with an answer key.

All Grade 4 (Elementary School) units