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Teaching video
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Grade 6 chapters and video availability01 · Read and understand
What you will learn
- Distinguish a signed position from its nonnegative distance to zero.
- Explain your method and check what the result means in the stated situation.
Before you start
Fraction and decimal operations, whole-number factors, measurement units, and reading simple tables.
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
An elevator is at level −6. What are its coordinate and its distance in levels from ground zero?
Why this math matters
Separate how far a position lies from zero from which side of zero it occupies. 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.
Absolute value measures distance from zero
PausedQuestion: Start with the question. Paused.
Question
Start with the question
An elevator is at level −6. What are its coordinate and its distance in levels from ground zero?
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
Coordinate = −6
The sign gives direction relative to the reference.
Connect the parts
Distance = |−6|
Distance counts unit intervals without a direction sign.
State and check the result
|−6| = 6 levels
The coordinate can be negative while the distance is nonnegative.
The result
|−6| = 6 levels
The coordinate can be negative while the distance is nonnegative.
Common mistakes to catch
- Absolute value is not the same as the original signed number.
- Two opposite points can have equal absolute 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
Compare |−9| and |4|.
Show a hint
Measure each point's distance from zero.
Reveal answer and explanation
9 > 4
Negative nine lies farther from zero than positive four.
Practice 2
Find all numbers with absolute value 5.
Show a hint
Look five units on both sides of zero.
Reveal answer and explanation
−5 and 5
Both points are five units from the reference.
Take the idea with you
Separate how far a position lies from zero from which side of zero it occupies.
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: Opposite numbers reflect across zero
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