Multiplying Signed Integers Worksheet
Math 7 • Unit 2: Operations with Integers
Lesson 11: Multiplying Signed Integers
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Date: Period:
Lesson Objectives
Content Objective: Students will be able to determine the product of multiplying signed integers with a set of rules.
Language Objective: Students will be able to describe and recognize the sign of a product when multiplying integers with the same signs and integers with different signs.
Rules for Multiplying Signed Integers
Fill in the blanks using the word bank
signs have a product.
signs have a product.
Word Bank:
Same Different Positive Negative
Vocabulary Review
| Term | Definition | Example |
|---|
| Factor | | |
| Product | | |
One way to think of multiplication is addition or making equal groups.
Symbols used:
● | × | * | ( )
Visually Displayed Rules
Write + or − inside each shape
×
=
×
=
×
=
×
=
Same signs =
Different signs =
Negative Positive
Lesson 11: Multiplying Signed Integers • Student Notes & Rules Page 1 of 4
Part 1: Guided Practice
Sign Analysis & Guided Computations
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Model Examples
Analyze the signs of factors before solving
| Expression | Signs of the Factors | Sign of the Product | Product |
|---|
| -6 * 8 | | | |
| -5 * 5 | | | |
| -7 * -3 | | | |
Guided Practice Table
Determine sign of factors, sign of product, then multiply
| Expression | Signs of the Factors | Sign of the Product | Product |
|---|
| 4 * -8 | | | |
| -6 * 5 | | | |
| -9 * -3 | | | |
Guided Practice Calculations
Show your thinking and write the final answer in the box
a) 3 × 4
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b) 2 • 5
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c) 4(2)
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d) 3(−4)
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e) 2 * −5
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f) 4 × (−2)
Work / notes:
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Lesson 11: Multiplying Signed Integers • Guided Practice Page 2 of 4
Part 2: Independent & Partner Work
Skill Practice & Conceptual Reasoning
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Sign & Product Analysis
Complete each column
| Expression | Signs of the Factors | Sign of the Product | Product |
|---|
| -12 * -5 | | | |
| -4 * 9 | | | |
| -15 * -5 | | | |
Independent Work
Compute each product
g) −3 • 4
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h) −2(5)
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i) −4 * 2
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j) (−3)(−4)
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k) −2 * −5
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l) −4 × (−2)
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Partner Work
Tell whether the product is positive or negative WITHOUT multiplying. Explain your reasoning.
1)15,735(−213)
Sign of product: Positive Negative
Reasoning:
2)−635 * (−1,250)
Sign of product: Positive Negative
Reasoning:
3)−94 × 681,212
Sign of product: Positive Negative
Reasoning:
Lesson 11: Multiplying Signed Integers • Independent & Partner Practice Page 3 of 4
Part 3: Applications & Extension
Fluency, Challenge & Real-World Problems
Name:
Determine the Product of Each Expression
Show steps and write final answer
- −13(0)
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- 15(−2)
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- −6 • (−13)
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- −11 * 11
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Challenge Problems! (Three or More Factors)
Multiply left to right or group pairs
- 6(−9)(−1)
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- −7(−3)(−5)
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- 3 • (−12) • 0
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- 1 • (−1) • 1 • (−1)
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Real-World Problem Solving
Generate expression and determine product
12
You lose 5 Soar Bucks each time you are late for a day of school. Write an integer expression to represent the change in your balance if you were tardy for 3 days of school in a week!
Multiplication Expression:
Product & Meaning:
Work space / models:
13
Frank owes five people two dollars each. How much money does he owe in total?
Multiplication Expression:
Product & Meaning:
Work space / models:
14
The offense of a football team lost three yards on two consecutive plays. How many yards in total were lost?
Multiplication Expression:
Product & Meaning:
Work space / models:
Lesson 11: Multiplying Signed Integers • Fluency, Challenge & Real-World Page 4 of 4
