Learn with Amar
Teaching video
A teaching recording for this chapter has not been published yet. Start with the worked example below and explore the related animations where available.
Grade 4 chapters and video availability01 · Read and understand
What you will learn
- Round the same number to different levels of precision.
- Explain your method and check what the result means in the stated situation.
Before you start
Multiplication and division facts, simple fractions, place value, and basic length and area measurement.
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
Round 48,672 to the nearest thousand and nearest ten thousand.
Why this math matters
Choose a useful reporting precision without pretending an estimate is exact. 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.
Choose the rounding place deliberately
PausedQuestion: Start with the question. Paused.
Question
Start with the question
Round 48,672 to the nearest thousand and nearest ten thousand.
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
Thousands: between 48,000 and 49,000
The midpoint is 48,500; the number is above it.
Connect the parts
Ten-thousands: between 40,000 and 50,000
The midpoint is 45,000; the number is above it.
State and check the result
Nearest thousand: 49,000; nearest ten thousand: 50,000
Coarser rounding gives fewer precise digits.
The result
Nearest thousand: 49,000; nearest ten thousand: 50,000
Coarser rounding gives fewer precise digits.
Common mistakes to catch
- State the required place before rounding.
- Avoid repeated rounding; use the original value.
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
Round 26,349 to the nearest thousand.
Show a hint
Compare with the midpoint 26,500.
Reveal answer and explanation
26,000
The number lies below the halfway mark.
Practice 2
Why should you round 44,500 directly to the nearest ten thousand instead of via thousands?
Show a hint
An intermediate round can cross a later midpoint.
Reveal answer and explanation
Direct rounding avoids accumulated rounding error
Directly it rounds to 40,000. Rounding first to 45,000 and then to the nearest ten thousand gives 50,000 under the halfway-up convention, a different result.
Take the idea with you
Choose a useful reporting precision without pretending an estimate is exact.
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: Multiply by expanding a three-digit number
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