# Word Form and Numerical Form

Examples, solutions and videos to help Grade 5 students learn how to write and interpret numerical expressions and compare expressions using a visual model.

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

New York State Common Core Math Grade 5, Module 2, Lesson 3.

The following figure shows how to convert between numerical expressions and word expressions. Scroll down the page for more examples and solutions.

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

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.

1. 8 × (43 – 13)

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

1. 9 × 13 ___ 8 thirteens

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.

1. 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

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

1. Draw a model then write the numerical expressions.
c. 2 times the difference between 49.5 and 37.5
1. Draw a model then write the numerical expressions.
e. The difference between 9 thirty-sevens and 8 thirty-sevens

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.