Absolute Value

​A Number's Distance from 0 on the Number Line.

​

​Absolute Value

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​Standard: MGSE.6.NS.7c

​Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. For example, for an account balance of –30 dollars, write |–30| = 30 to describe the size of the debt in dollars.

​Learning Target

​I can understand the absolute value of a rational number as its distance from 0 on the number line.

I can interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. For example, for an account balance of –30 dollars, write |–30| = 30 to describe the size of the debt in dollars.

​Essential Question

​How can we use absolute value to find horizontal and vertical distances on the number line, coordinate plane or in the real world?

​WHAT IS AN INTEGER?

​An integer is any WHOLE NUMBER (Positive or Negative) and Zero.

Multiple Select

CHOOSE ALL INTEGERS.

• 15

• -2.7

• $$\frac{3}{4}$$  

• -10

​When determining if a number is an integer,

make sure it is in it's simplest form.

​If a number is written as a decimal like 25.00, it is equivalent to 25. That is a whole number

​If an improper fraction can be simplified to a whole number, then it is representing an integer. Example: -15/3 is simplified as -5

Multiple Select

CHOOSE ALL INTEGERS.

• 36.0

• -2.3

• $$\frac{16}{4}$$  

• $$\frac{1}{5}$$  

• 0

Multiple Choice

Students were asked if 20/5 is an integer. Tyrod said YES, Brandon said NO. Who is right?

•  TYROD

• BRANDON

​WHAT ARE OPPOSITES?

​Each integer has an opposite. If the integer is POSITIVE, the opposite is NEGATIVE. If the integer is NEGATIVE, the opposite is POSITIVE.

​EXAMPLES

​5 and -5 are opposites

-32 and 32 are opposites

0 is its own opposite​

Multiple Choice

What is the opposite of 19?

• 19

• -19

Multiple Choice

What is the opposite of -12?

• 12

• -12

Multiple Choice

What is the opposite of 0?

• 0

• None

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​ABSOLUTE VALUE

​Absolute Value means

DISTANCE FROM 0.

​ABSOLUTE VALUE

​The absolute value of 3 and -3 is 3. They are both 3 units aways from 0.

​ABSOLUTE VALUE

​∣ 3 ∣ = 3

​∣ -3 ∣ = 3​

​ABSOLUTE VALUE

​- ∣ 3 ∣ = -3

- ​∣ -3 ∣ = -3

Multiple Choice

What is​ ∣ 10 ∣ ?

• 10

• -10

• 0

Multiple Choice

What is​ ∣ -9 ∣ ?

• 9

• -9

• 0

Multiple Choice

What is​ -∣ -4 ∣ ?

• 4

• -4

• 0

Reorder

Reorder the following in ascending order. (Smallest to Largest)

• | 0 |

• | -1 |

• | 2 |

• | - 45 |

• | -100 |

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Match

Match the following

• | 6 |

• | -5 |

• | 32 |

• | 5 |

• | -6 |

6

5

32

5

6

• 6

• 5

• 32

• 5

• 6

Multiple Select

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