Learn with Amar
Teaching video
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Grade 5 chapters and video availability01 · Read and understand
What you will learn
- Apply parentheses and multiplication before addition in numerical expressions.
- Explain your method and check what the result means in the stated situation.
Before you start
Multi-digit operations, equivalent fractions, decimal place value, and rectangular area.
Keep paper nearby. Read the question once for the context, then again to identify what is known and what you need to find.
Start with a question
Compare 6 + 4 × 3 with (6 + 4) × 3.
Why this math matters
Translate a story's grouped quantities into an expression before evaluating it. The worked example shows how to connect the situation, its mathematical representation, and a check on the result.
Set up the model
A useful answer starts with clear assumptions:
- Use the units, grouping rules, and reference whole stated in the question.
- Treat the supplied counts and measurements as exact within the classroom model, unless an estimate or a random outcome is requested.
02 · Work through the example
Follow the reasoning, one step at a time.
Try to predict the next step before reading it. After each calculation, explain why the operation makes sense and how it helps answer the original question.
Work through it with Amar
See this example unfold.
The complete worked example, one idea at a time.
Read grouping before calculating
PausedQuestion: Start with the question. Paused.
Question
Start with the question
Compare 6 + 4 × 3 with (6 + 4) × 3.
Before you calculate
Read what is known and what you need to find. Make a prediction before moving to the first calculation.
Starts paused. Play advances through the full text at a reading pace; pause whenever you need more time. Previous, Next, and the phase buttons let you set your own pace. Playback pauses when this walkthrough leaves the screen or you switch tabs.
Your device’s reduced-motion setting keeps each phase still. Manual controls remain available. The full written solution stays below.
Represent the situation
6 + 4 × 3 = 6 + 12
Multiplication is completed before the addition.
Connect the parts
(6 + 4) × 3 = 10 × 3
Parentheses make the sum one grouped quantity.
State and check the result
Results: 18 and 30
Grouping changes which quantity is tripled.
The result
Results: 18 and 30
Grouping changes which quantity is tripled.
Common mistakes to catch
- Multiplication does not always precede division; use left-to-right order at equal priority.
- Parentheses can make the intended context explicit.
03 · Practice independently
Try it before revealing the answer.
Use paper or a calculator as needed. Write your units and reasoning, then open the hint or explanation to check your approach.
Practice 1
Evaluate 20 − 12 ÷ 4.
Show a hint
Divide before subtracting.
Reveal answer and explanation
17
12 ÷ 4 = 3, then 20 − 3 = 17.
Practice 2
Evaluate 24 ÷ 6 × 2.
Show a hint
Multiplication and division share priority; go left to right.
Reveal answer and explanation
8
24 ÷ 6 = 4, then 4 × 2 = 8.
Take the idea with you
Translate a story's grouped quantities into an expression before evaluating it.
04 · Reflect and continue
Can you explain it in your own words?
Before moving on, explain the main idea without looking at the worked example. Try both practice questions, check your reasoning, and name one mistake you now know how to avoid. Return to a step if you still need support.
Up next: Locate points with ordered pairs
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