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11-1. Integers in Real-World Situations. Course 1. Homework. pp. 604 – 605 3 – 48 mult of 3. Warm Up Solve each. 5.32 + 6.95 2) 7 – 2.54 3) 4.2 x 5.48. Problem of the Day

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11-1

Integers in Real-World Situations

Course 1

Homework

pp. 604 – 605 3 – 48 mult of 3

Warm Up

• Solve each.
• 5.32 + 6.95 2) 7 – 2.54 3) 4.2 x 5.48

Problem of the Day

Four friends are waiting in line at the amusement park. Jenna is in front of Kyle. Kyle is behind Gary and in front of Maggie. Gary is first. In what order are they waiting?

Gary, Jenna, Kyle, Maggie

Vocabulary

positive number

negative number

opposites

integer

–5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5

Positive numbers are greater than 0. They may be written with a positive sign (+), but they are usually written without it.

Negative numbers are less than 0. They are always written with a negative sign (–).

Integers are the set of all positive and negative whole numbers and zero.

Opposites

Negative Integers

Positive Integers

0 is neither negative nor positive.

Name a positive or negative number to represent each situation.

A. a jet climbing to an altitude of 20,000 feet

B. taking \$15 out of the bank

Remember!

The set of whole numbers includes zero and the counting numbers.

{0, 1, 2, 3, 4, …}

–5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5

–5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5

Example 2: Graphing Integers

Graph each integer and its opposite on a number line.

A. +2

B. –5

–5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5

Example 2 continued

Graph each integer and its opposite on a number line.

C. 0

Zero is its own opposite.

Remember!

Numbers on a number line increase in value as you move from left to right.

Absolute Value (ABS) – The distance a number is from zero.

Ex 3) | 7 | = | -3 | =

| -13 | = | (4 x 7) | =

Lesson Quiz

Name a positive or negative number to represent each situation.

1. saving \$15

2. 12 feet below sea level

3. What is the opposite of –6?

4. When the Swanton Bulldogs football team passed the football, they gained 25 yards. Write an integer to represent this situation.

+15

–12

6

+25