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Questions and Answers
What integer represents the temperature set by Miss Anderson in her classroom?
Which of the following integers represents the depth of the submarine below sea level?
If Aaron owed his sister $25.00, what integer represents this debt?
What number would you find between -70 and -50 on a number line that signifies a depth of 60 meters?
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Which of the following integers does NOT correspond to a defined scenario?
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What integer represents the amount Rachel owes her mom?
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Which of the following numbers has the additive inverse of 88?
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What is the correct order of these integers from least to greatest: -25, -16, -8, -3, -1?
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Which integer corresponds to Mt. Columbia's elevation above sea level?
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What is the integer that represents a depth of 35 meters below sea level?
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Study Notes
Number lines
- Fill in the missing numbers on the number lines
- number line a) -42, -39, -36, -33, -30, -27, -24, -21, -18, -15, -12, -9, -6, -3, 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42
- number line b) -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
Integers and Number Lines
- Integers are whole numbers that can be positive, negative, or zero
- Representing numbers on a number line:
- Positive integers are placed to the right of zero
- Negative integers are placed to the left of zero
- Scenario a): Miss Anderson set the temperature in her classroom to 20 above zero.
- Integer: 20
- Number line representation: A horizontal line segment starting at 20 on the number line (between 10 and 30).
- Scenario b): The submarine went 60 meters below sea level.
- Integer: -60
- Number line representation: A horizontal line segment starting at -60 on the number line (between -70 and -50).
- Scenario c): Aaron owed his sister $25.00.
- Integer: -25
- Number line representation: A horizontal line segment starting at -25 on the number line (between -30 and -20).
Representing Scenarios as Integers
- Positive integers represent quantities like money earned, height above sea level, and temperature above zero.
- Negative integers represent quantities like money owed, depth below sea level, and temperature below zero.
Ordering Integers
- Integers are ordered from least to greatest on a number line, with negative numbers to the left of zero and positive numbers to the right.
- When ordering integers, consider their distance from zero. For example, -8 is less than -4, because -8 is farther from zero than -4.
Additive Inverses
- The additive inverse of a number is the number that, when added to the original number, results in zero.
- The additive inverse of a positive number is its negative counterpart, and vice versa.
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Description
This quiz focuses on identifying and filling in missing integers on number lines. Students will also learn about the representation of positive and negative integers through real-life scenarios. Enhance your understanding of how integers are positioned relative to zero on a number line.
