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Introduction to Integers

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Introduction to Integers

Integers are whole numbers, their opposites, and zero. Positive integers are greater than zero; negative integers are less than zero. Use the number lines and real-world clues to explore how integers work.

Spot the Integers

Start with the number line. Numbers get greater as you move right and smaller as you move left.

1.Which statement about counting numbers and integers is true?
  • Counting numbers stop at 100.
  • Integers include negative whole numbers, zero, and positive whole numbers.
  • Zero is the smallest integer.
  • Fractions are all integers.
2.Which integer is 3 units to the left of zero?
3.Amara writes the integers -4, 2, 0, and -1 in order from least to greatest. What is the correct order?
-5-4-3-2-1012345

Integers in the Real World

A negative number can describe a value below a reference point, an amount owed, or a loss. Zero is the reference point in these examples.

4.A winter morning is -8°F. Which description best explains this temperature?
  • 8 degrees above 0°F
  • 8 degrees below 0°F
  • 8 degrees warmer than 8°F
  • The temperature is exactly 0°F
5.A submarine is 12 feet below sea level. Write its elevation as an integer, using sea level as zero.
6.Match each situation to the integer that represents it.
  • A $6 debt
  • A gain of 4 points
  • No change in score
  • +4
  • -6
  • 0
7.A game score changes by -3 points, then by +5 points. What is the total change in the score?

Explain and Create

Use what you know about zero, opposites, and direction on the number line.

8.True or false: -2 is greater than -5. Explain your answer using the number line.
-6-5-4-3-2-10
9.Write the integer that is the opposite of -7. Then explain what “opposite” means on a number line.
10.Invent a real-world situation represented by -3, and explain what the negative sign means in your situation.

3 printable pages

  • Introduction to Integers, page 1 of 3: Spot the Integers

    Page 1

  • Introduction to Integers, page 2 of 3: Integers in the Real World, Explain and Create

    Page 2

  • Introduction to Integers, page 3 of 3: 9. Write the integer that is the opposite of -7. Then explain what “opposite” means on a…

    Page 3

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