Learn with Amar
Teaching video
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Grade 5 chapters and video availability01 · Read and understand
What you will learn
- Interpret decimal places through thousandths.
- 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
Write 2.307 as a sum of place values.
Why this math matters
Read precise measurements by naming each fractional place before calculating. 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 decimal thousandths
PausedQuestion: Start with the question. Paused.
Question
Start with the question
Write 2.307 as a sum of place values.
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
2 ones + 3 tenths
The first fractional digit counts tenths.
Connect the parts
0 hundredths + 7 thousandths
The zero keeps seven in the thousandths place.
State and check the result
2.307 = 2 + 0.3 + 0.007
Seven thousandths is much smaller than seven hundredths.
The result
2.307 = 2 + 0.3 + 0.007
Seven thousandths is much smaller than seven hundredths.
Common mistakes to catch
- Zero placeholders between nonzero digits cannot be discarded.
- Decimal length alone does not determine magnitude.
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 6 in 4.065?
Show a hint
Locate the hundredths digit.
Reveal answer and explanation
0.06
Six hundredths contributes six one-hundredths.
Practice 2
Are 0.25 and 0.250 equal?
Show a hint
Rename hundredths as thousandths.
Reveal answer and explanation
Yes
Twenty-five hundredths is two hundred fifty thousandths.
Take the idea with you
Read precise measurements by naming each fractional place before calculating.
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: Scale decimals by powers of ten
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