Practice Hub/Grade 7/arithmetic/Solving Multi-Step Problems with Rational Numbers

Free Grade 7 Solving Multi-Step Problems with Rational Numbers Practice

This topic focuses on solving real-world and mathematical problems that require multiple steps and involve addition, subtraction, multiplication, and division of rational numbers.

Topic Overview

Definitive Answer: This topic focuses on solving real-world and mathematical problems that require multiple steps and involve addition, subtraction, multiplication, and division of rational numbers.

Hello, future problem-solver! In math, we often encounter real-world situations that need more than one step to solve. These are called **multi-step problems**. Today, we'll tackle problems involving **rational numbers**, which are numbers that can be written as a fraction (like decimals or whole numbers). We'll focus on adding and subtracting these numbers. Think of it like building with LEGOs: sometimes you need to add a few blocks, then remove some, all to reach your final goal. You can imagine adding as moving forward on a number line and subtracting as moving backward. Breaking down problems into smaller steps makes them much easier to solve!

Step-by-Step Examples

Example 1: Sarah had 25.50. She bought a book for 12.75 and a notebook for 3.50. How much money does Sarah have left?
  1. **Step 1: Calculate the total amount spent.** Sarah bought a book for 12.75 and a notebook for 3.50. To find the total amount she spent, we add these two amounts together: 12.75 + 3.50 = 16.25
  2. **Step 2: Calculate the money Sarah has remaining.** Sarah started with 25.50. Now that we know she spent a total of 16.25, we subtract the amount spent from her starting money: 25.50 - 16.25 = 9.25
โœ“ Answer: Sarah has 9.25 left.
Example 2: A baker made 150 cookies. He sold 75 cookies in the morning and 42 cookies in the afternoon. How many cookies are left?
  1. **Step 1: Calculate the total number of cookies sold.** The baker sold 75 cookies in the morning and 42 cookies in the afternoon. To find the total number of cookies he sold, we add these two amounts: 75 + 42 = 117 cookies
  2. **Step 2: Determine the number of cookies remaining.** The baker started with 150 cookies. Since he sold a total of 117 cookies, we subtract the number sold from the original number of cookies: 150 - 117 = 33 cookies
โœ“ Answer: There are 33 cookies left.
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Tips & Tricks

  • Always read the problem carefully to understand what is happening. Underline key numbers and keywords (like 'bought', 'sold', 'left') to help you decide whether to add or subtract. Breaking the problem into smaller, manageable steps makes it much easier to solve!

Key Vocabulary

TermDefinition
Multi-step problemA problem that requires two or more mathematical operations (like addition or subtraction) to solve.
Rational numberAny number that can be expressed as a fraction p/q, where p and q are integers and q is not zero. This includes whole numbers, decimals, and fractions.
OperationA mathematical process such as addition (+), subtraction (-), multiplication (ร—), or division (รท).

Interactive Practice

Question 1 of 10

Sarah had 25.50. She bought a book for 12.75 and a notebook for $3.50. How much money does Sarah have left?

Frequently Asked Questions

What does grade 7 solving multi-step problems with rational numbers involve?

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This topic helps students apply all four operations (addition, subtraction, multiplication, division) to rational numbers to solve problems requiring multiple steps. It's crucial for building a strong foundation in grade 7 solving multi-step problems with rational numbers by tackling real-world scenarios and complex equations.

Where can my child find 7th grade solving multi-step problems with rational numbers practice?

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Look for online educational platforms, textbooks, or interactive math websites that offer targeted exercises. Consistent 7th grade solving multi-step problems with rational numbers practice is key to mastering these complex operations and improving problem-solving abilities.

Are there any free solving multi-step problems with rational numbers worksheet grade 7 resources available?

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Yes, many educational websites and teacher resource platforms provide a free solving multi-step problems with rational numbers worksheet grade 7 that you can download. These worksheets often include varied problems to help students practice interpreting and solving multi-step scenarios with rational numbers.

What's the best approach for how to solving multi-step problems with rational numbers?

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The best approach for how to solving multi-step problems with rational numbers involves breaking down the problem into smaller, manageable steps, identifying the operations needed, and performing calculations carefully. Encourage your child to write down each step and check their work, especially when dealing with negative rational numbers.

Skills Covered

  • Solve one-step and two-step problems involving addition and subtraction of rational numbers in context.
  • Solve multi-step problems involving multiplication and division of rational numbers, including those with negative signs.
  • Solve complex real-world problems requiring a sequence of operations with rational numbers, including interpreting remainders and rounding appropriately.

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Expertly curated by the Kurboed Education Team โ€ข Last updated 2026

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