What is \(-6\times\frac{2}{3}\)?
- A \(-9\)
- B \(-4\)
- C \(4\)
- D \(9\)
Check answer and explanation
Answer B: \(-4\)
\(-6\times\frac{2}{3}=\frac{-12}{3}=-4\). A negative times a positive is negative.
CH03-05 lesson
Multiplying Integers and Rational Numbers Learning Activity
A focused Grade 7 learning session for Multiplying Integers and Rational Numbers using visual models, worked examples, strategy guidance, and a short mastery check.
- 15
- minutes
- 6
- lesson parts
- 11
- practice items
Students will build Grade 7 mastery of multiplying integers and rational numbers using models, equations, and test-style reasoning.
Student goal: I can solve problems involving multiplying integers and rational numbers.
Helpful first:
Adding and Subtracting Rational Numbers
Learn the Idea
Multiplying Integers and Rational Numbers is part of Grade 7 The Number System. This activity focuses on the central idea students need before they move into independent practice.
Students will build Grade 7 mastery of multiplying integers and rational numbers using models, equations, and test-style reasoning.
See the Math
| What to notice | How to use it |
|---|---|
| Numbers, units, labels, diagrams, or graphs | Identify what each part represents before calculating. |
| The relationship in the problem | Connect the model to an equation, comparison, or explanation. |
Use the figures and worked questions in the practice set below as the visual model for this skill.
Follow a Worked Example
Read the first practice question slowly. Decide what the question is asking, choose a strategy, solve, and then compare your reasoning with the answer explanation.
For Multiplying Integers and Rational Numbers, a strong worked example should show the setup, the calculation or model, and a final answer that matches the context.
Connect It to a Real Situation
Many Grade 7 test questions use real situations. Look for quantities, units, rates, measures, expressions, or data values that connect the math to the story.
After solving, explain what the answer means in the situation, not just the number you calculated.
Avoid Mistakes and Choose a Strategy
- Underline the exact question before solving.
- Label units, variables, or graph axes when they appear.
- Estimate first so unreasonable answers are easier to catch.
- Review missed questions and write the reason for each mistake.
Remember the Key Idea
I can solve problems involving multiplying integers and rational numbers.
Use the warmup, guided question, practice set, and exit questions below to check whether this skill is ready or needs more practice.
Solve before opening the answer
Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.
warmup
2 questionsWhat is \(5\times 4\)?
- A \(9\)
- B \(18\)
- C \(20\)
- D \(25\)
Check answer and explanation
Answer C: \(20\)
Positive times positive equals positive. \(5 \times 4 = 20\).
guided
1 questionWhat is \(-7\times (-3)\)?
- A \(-21\)
- B \(-10\)
- C \(10\)
- D \(21\)
Check answer and explanation
Answer D: \(21\)
Negative times negative equals positive. \(-7 \times (-3) = 21\).
practice
5 questionsWhat is \(3\times 0.5\)?
- A \(0.5\)
- B \(1.5\)
- C \(3.5\)
- D \(6\)
Check answer and explanation
Answer B: \(1.5\)
\(3 \times 0.5 = 1.5\). Positive times positive is positive.
What is \(-8\times 2\)?
- A \(-16\)
- B \(-6\)
- C \(6\)
- D \(16\)
Check answer and explanation
Answer A: \(-16\)
Negative times positive equals negative. \(-8 \times 2 = -16\).
What is \(\frac{3}{4}\times 8\)?
- A \(6\)
- B \(8\)
- C \(10\)
- D \(12\)
Check answer and explanation
Answer A: \(6\)
\(\frac{3}{4}\times 8 = \frac{3 \times 8}{4} = \frac{24}{4} = 6\).
What is \(-\frac{1}{2}\times 10\)?
- A \(-20\)
- B \(-5\)
- C \(5\)
- D \(20\)
Check answer and explanation
Answer B: \(-5\)
\(-\frac{1}{2}\times 10 = \frac{-10}{2} = -5\). Negative times positive is negative.
What is \(0\times (-9)\)?
- A \(-9\)
- B \(0\)
- C \(9\)
- D \(-1\)
Check answer and explanation
Answer B: \(0\)
Any number multiplied by zero equals zero.
exit
3 questionsWhat is \(0.4\times 0.5\)?
- A \(0.2\)
- B \(0.9\)
- C \(1.8\)
- D \(2\)
Check answer and explanation
Answer A: \(0.2\)
\(0.4 \times 0.5 = 0.2\). Count total decimal places: \(4 \times 5 = 20\), then place decimal to get \(0.20 = 0.2\).
What is \(-\frac{2}{5}\times (-10)\)?
- A \(-4\)
- B \(-20\)
- C \(4\)
- D \(20\)
Check answer and explanation
Answer C: \(4\)
\(-\frac{2}{5}\times (-10) = \frac{2 \times 10}{5} = \frac{20}{5} = 4\). Negative times negative is positive.
What is \(-2\times 3\times (-4)\)?
- A \(-24\)
- B \(-9\)
- C \(9\)
- D \(24\)
Check answer and explanation
Answer D: \(24\)
\(-2\times 3\times (-4) = (-6)\times (-4) = 24\). Work left to right; two negatives give positive.
