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Integers A PowerPoint for Ms Purcell’s 6th grade.

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Presentation on theme: "Integers A PowerPoint for Ms Purcell’s 6th grade."— Presentation transcript:

1 Integers A PowerPoint for Ms Purcell’s 6th grade.
26 - 3 -15 Integers A PowerPoint for Ms Purcell’s 6th grade. 16 MCC6.NS.5: Understand that positive and negative numbers are used together to describe quantities having opposite directions or values. MCC6.NS.6a: Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself , e.g., -(-3) = 3. MCC6.NS.6c: Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane. -7

2 Integers are defined as the set of whole numbers and their opposites.
Integers include Positive numbers, also called the counting numbers, (1,2,3,4, . . .) Their opposites, negative numbers, (-1,-2,-3,. . .) And zero, which is neither positive nor negative.

3 Negative integers have values less than zero, are to the left of zero on the number line and are always shown with a minus (-) sign. Positive integers have values greater than zero, are to the right of zero on the number line, and usually are not shown with their sign (+).

4 Integers are represented by small slashes on the number lines, and do not include the fractional or decimal numbers in between the slashes. Number lines can be either horizontal or vertical.

5 You can use integers to describe opposite situations. For example:
Positive Integers Negative Integers Depositing money in a checking account Elevation above sea level Any temperature above zero Yardage gained in football Withdrawing money from a checking account An elevation below sea level Below zero temperatures Yardage lost in football

6 Example 1 A sea gull is flying 25 feet above sea level and a shark is swimming 10 feet below sea level. What elevation does the surface of the water represent? 2) What is the elevation of the bird? 3) What is the elevation of the fish?

7 What is the temperature on this thermometer?

8 Integers that are the same distance from zero on a number line are called opposites. For example, 6 and -6 are opposites of each other. Every number has an opposite. What is the opposite of 3? What is the opposite of -5? What is the opposite of -8? What is the opposite of 0?

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