Numerical Expressions Word problems
Numerical Expressions Word problems
Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.
  • Write numerical expressions: Accurately create expressions to represent calculations based on word problems.
  • Identify key information: Recognize important details in word problems that indicate which mathematical operations to use.
  • Translate words into math: Convert written word problems into numerical expressions effectively.
  • Use mathematical reasoning: Demonstrate reasoning skills by explaining how they derived their numerical expressions from word problems.
  • Apply order of operations: Understand and apply the order of operations in more complex expressions derived from word problems.

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Numerical Expressions and Word Problems (Grade 5)

In Grade 5, students learn to write numerical expressions that represent calculations and to interpret these expressions without solving them. A numerical expression combines numbers and operations like addition, subtraction, multiplication, or division. When we encounter word problems, we can turn those words into numerical expressions.

Definition

  • Numerical Expression: A combination of numbers and operations that shows a calculation.
  • Word Problem: A mathematical problem written in words that describes a situation requiring a numerical expression.

Writing Numerical Expressions from Word Problems

When you read a word problem, the goal is to figure out what math operation to use and how to express that in numbers.

Example 1: Simple Addition

Word Problem: Lina has 7 apples, and she buys 5 more. How many apples does she have now?

To write this as a numerical expression, you would say:
7 + 5
This shows that you are adding the apples Lina already has to the ones she buys.

Example 2: Simple Subtraction

Word Problem: Tom had 10 candies, but he gave 4 to his friend. How many candies does he have left?

The numerical expression would be:
10 - 4
This represents the candies Tom has after giving some away.

Example 3: More Complex Expression

Word Problem: "A farmer has 12 chickens. If he buys 5 more and then sells 3, how many chickens does he have now?"

Here, the expression would be:
(12 + 5) - 3
This shows the addition of the new chickens followed by the subtraction of the ones sold.

Interpreting Numerical Expressions

Interpreting a numerical expression means explaining what it represents without solving it.

For example, for the expression (12 + 5) - 3, you might say:
First, add 12 and 5 to find the total number of chickens, then subtract 3 to see how many chickens remain after the sale.

Why It Matters

Being able to write and interpret numerical expressions helps students understand math in real-life situations. It allows them to break down problems and communicate their thought processes clearly.

Let’s practice together by turning word problems into numerical expressions!

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