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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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slide1

11-1

Integers in Real-World Situations

Course 1

Homework

pp. 604 – 605 3 – 48 mult of 3

slide2

Warm Up

  • Solve each.
  • 5.32 + 6.95 2) 7 – 2.54 3) 4.2 x 5.48
slide3

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

slide6

Vocabulary

positive number

negative number

opposites

integer

slide7

–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 (–).

slide8

–5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5

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

Opposites

Negative Integers

Positive Integers

0 is neither negative nor positive.

slide9

Example 1: Identifying Positive and Negative Numbers in the Real World

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

slide10

Remember!

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

{0, 1, 2, 3, 4, …}

slide11

–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

slide12

–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.

slide13

Remember!

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

slide14
Absolute Value (ABS) – The distance a number is from zero.

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

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

slide15

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