Learn with Amar
Teaching video
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Grade 4 chapters and video availability01 · Read and understand
What you will learn
- Rename tenths as hundredths and write decimal notation.
- 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
Express 4/10 as hundredths and as a decimal.
Why this math matters
Connect a hundred-square model to decimal amounts and prices. 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.
Connect decimal places to fractions
PausedQuestion: Start with the question. Paused.
Question
Start with the question
Express 4/10 as hundredths and as a decimal.
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
Each tenth = 10 hundredths
Divide every tenth into ten equal smaller pieces.
Connect the parts
4/10 = 40/100
Four groups of ten hundredths make forty hundredths.
State and check the result
0.4 = 0.40
The trailing zero changes the named precision, not the numerical value.
The result
0.4 = 0.40
The trailing zero changes the named precision, not the numerical value.
Common mistakes to catch
- Leading fractional zeros hold places.
- A trailing zero after a decimal may preserve value; moving a digit does not.
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
Write 7/100 as a decimal.
Show a hint
Use the hundredths place.
Reveal answer and explanation
0.07
The zero tenths placeholder puts seven in the correct place.
Practice 2
Is 0.6 equal to 0.06?
Show a hint
Compare tenths and hundredths.
Reveal answer and explanation
No
Six tenths is sixty hundredths, ten times six hundredths.
Take the idea with you
Connect a hundred-square model to decimal amounts and prices.
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: Compare decimals by place value
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