Learn on PengiPengi Math (Grade 5)Chapter 7: Numerical Expressions and Problem Solving

Lesson 1: Order of Operations

In this Grade 5 lesson from Pengi Math Chapter 7, students learn to evaluate multi-step numerical expressions by applying the order of operations, including grouping symbols. They practice identifying operations within expressions and working with whole numbers, fractions, and decimals. Students also build the skill of explaining each step of the evaluation process clearly and logically.

Section 1

Applying the Order of Operations

Property

To evaluate numerical expressions, apply the order of operations:

  1. Parentheses: Calculate any operations inside parentheses first.
  2. Multiplication and Division: Perform these operations from left to right.
  3. Addition and Subtraction: Perform these operations from left to right.

Examples

Section 2

Evaluate Multi-Step Expressions with Fractions and Decimals

Property

To evaluate a multi-step expression, follow the order of operations (PEMDAS):

  1. Parentheses: Evaluate expressions inside parentheses first.
  2. Multiplication and Division: Perform these operations from left to right.
  3. Addition and Subtraction: Perform these operations from left to right.

Examples

Book overview

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Chapter 7: Numerical Expressions and Problem Solving

  1. Lesson 1Current

    Lesson 1: Order of Operations

  2. Lesson 2

    Lesson 2: Writing and Reading Numerical Expressions

  3. Lesson 3

    Lesson 3: Solving Word Problems with Expressions

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Applying the Order of Operations

Property

To evaluate numerical expressions, apply the order of operations:

  1. Parentheses: Calculate any operations inside parentheses first.
  2. Multiplication and Division: Perform these operations from left to right.
  3. Addition and Subtraction: Perform these operations from left to right.

Examples

Section 2

Evaluate Multi-Step Expressions with Fractions and Decimals

Property

To evaluate a multi-step expression, follow the order of operations (PEMDAS):

  1. Parentheses: Evaluate expressions inside parentheses first.
  2. Multiplication and Division: Perform these operations from left to right.
  3. Addition and Subtraction: Perform these operations from left to right.

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 7: Numerical Expressions and Problem Solving

  1. Lesson 1Current

    Lesson 1: Order of Operations

  2. Lesson 2

    Lesson 2: Writing and Reading Numerical Expressions

  3. Lesson 3

    Lesson 3: Solving Word Problems with Expressions