Word Form and Numerical Form

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Common Core For Grade 5

Common Core Standards: 5.OA.1, 5.OA.2, 5.NBT.5

New York State Common Core Math Grade 5, Module 2, Lesson 3.
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The following figure shows how to convert between numerical expressions and word expressions. Scroll down the page for more examples and solutions.

 

Printable & Online Algebra Worksheets

Lesson 3 Concept Development

What is an expression?
An expression consists of numbers, symbols and operators grouped together that show the value of something.

Example: 2 × 3 is an expression.

Lesson 3 Problem Set

What is 3 times the sum of 26 and 4? Show a tape diagram and expression.

From word form to numerical expressions and diagrams.

1. Draw a model. Then write the numerical expressions.
   a. The sum of 8 and 7, doubled
   b. 4 times the sum of 14 and 26
   e. The difference between 4 twenty-fives and 3 twenty-fives

4. Mr. Huynh wrote the sum of 7 fifteens and 38 fifteens on the board.
   a. Draw a model and write the correct expression.

• Show Video Lesson

Lesson 3 Concept Development

What expression describes the total value of these 3 equal units?
How about 3 times an unknown amount called A. Show a tape diagram and expression.

Problems 1–2: From word form to numerical expressions and diagrams.

1. 3 times the sum of 26 and 4
2. 6 times the difference between 60 and 51

Problem 4: From numerical expressions to word form.

4. 8 × (43 – 13)

Problem 7: Comparison of expressions in word form and numerical form.

7. 9 × 13 ___ 8 thirteens

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Lesson 3 Problem Set

From word form to numerical expressions and diagrams.

1. Draw a model. Then write the numerical expressions.
   a. The sum of 8 and 7, doubled
   b. 4 times the sum of 14 and 26
   c. 3 times the difference between 37.5 and 24.5 From numerical expressions to word form.

2. Write the numerical expressions in words.
   a. 12 × (5 + 25)
   b. (62 – 12) × 11

Comparison of expressions in word form and numerical form.

3. Compare the two expressions using >, <, or =. In the space beneath each pair of expressions, explain how you can compare without calculating. Draw a model if it helps you.
   a. 24 × (20 + 5) and (20 + 5) × 12
   b. 18 × 27 and 20 twenty-sevens minus 1 twenty-seven
   c. 19 × 9 and 3 nineteens, tripled

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• Show Video Lesson

Lesson 3 Homework

This video demonstrates how to model numerical expressions utilizing tape diagrams. You will also learn how to compare and evaluate expressions.

1. Draw a model then write the numerical expressions.
   a. The sum of 21 and 4, doubled
   b. 5 times the sum of 7 and 23

2. Write the numerical expressions in words.
   a. 10 × (2.5 + 13.5)

3. Compare the two expressions using >, <, or =. In the space beneath each pair of expressions, explain how you can compare without calculating. Draw a model if it helps you.
   a. 93 × (40 + 2), (40 + 2) × 39

• Show Video Lesson

1. Draw a model then write the numerical expressions.
   c. 2 times the difference between 49.5 and 37.5

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1. Draw a model then write the numerical expressions.
   e. The difference between 9 thirty-sevens and 8 thirty-sevens

• Show Video Lesson

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