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
- Interpret each digit of a six-digit whole number.
- 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
A fictional museum records 406,205 visits. What value does each nonzero digit contribute?
Why this math matters
Read large reported counts by grouping digits into thousands and smaller units. 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 a number beyond thousands
PausedQuestion: Start with the question. Paused.
Question
Start with the question
A fictional museum records 406,205 visits. What value does each nonzero digit contribute?
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
4 × 100,000 = 400,000
The four is in the hundred-thousands place.
Connect the parts
6 × 1,000 = 6,000; 2 × 100 = 200
Zeros keep empty places in their proper positions.
State and check the result
406,205 = 400,000 + 6,000 + 200 + 5
Adding the place values reconstructs the recorded count.
The result
406,205 = 400,000 + 6,000 + 200 + 5
Adding the place values reconstructs the recorded count.
Common mistakes to catch
- Commas group digits but do not change their place values.
- Missing place-value terms require zero placeholders in standard notation.
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
What is the value of 7 in 172,040?
Show a hint
Locate the ten-thousands place.
Reveal answer and explanation
70,000
Seven ten-thousands equal seventy thousand.
Practice 2
Write 300,000 + 8,000 + 40 + 2 in standard form.
Show a hint
Keep zero placeholders for missing places.
Reveal answer and explanation
308,042
The digits record three hundred-thousands, eight thousands, four tens, and two ones.
Take the idea with you
Read large reported counts by grouping digits into thousands and smaller units.
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: A neighboring place is ten times as large
Completion is your own study record, not a test score. It stays in this browser, does not sync to another device, and can be removed by clearing browser data.