Topic: Introduction to Integers& Absolute Value

Name: ______Date: ______Math 7AC

TOPIC: INTRODUCTION TO INTEGERS & ABSOLUTE VALUE

Recall:  Integers are ______

 The zero on the number line is called the ______.  Zero is neither ______nor ______.

Integers are used to represent real-life situations:

(#1-8) Assign an integer to each of the following expressions. 1. a withdrawal of $75 ______2. a profit of $100 ______3. a gain of 15 yards ______4. a loss of 21 pounds ______5. 17° below zero ______6. 3 inches taller ______7. travel south 12 miles ______8. travel east 9 miles ______

The ABSOLUTE VALUE of an integer is its ______

 distance from 0 to 5 units | 5 | = ______Absolut e Value can NEVER be  distance from 0 to 5 units | -5 | = ______negative .

9. Directions: Evaluate

a) |-8| = ____ b) | 12 | = ____ c) | 0 | = ____ d) | -55 | = ____

e) |10-8| = ____ f) – | 12 | = ____ g) – |15 – 4| = ____ h) |-16| + |-10| = ____

i) |-9|+ | 7| =____ j) – | 6 – 5| = ____ k) |20 – 20| = ____ l) |-72| ÷ |8| = ____ 2. Compare using symbols: <, >, =

E a) 5 > | 4 – 6 | *It is important to calculate each number before deciding if it is less than, greater X than or equal to! A | – 2 | *Yes, absolute value is always positive, but not before you calculate what is inside M the bars first! P 5 > 2 * Absolute Values DO NOT mean opposites L E b) -3 | 10 – 9| c) | – 6 | the opposite of -6

Show work

Practice: Compare using symbols: <, >, = It is important to calculate each number before deciding if it is less than, greater than or equal to!

a) 5 > 3 b) -7 2 c) 0 -6 d) -4 -5

e) -1 0 f) │4│ │-4│ g) │0│ │-77│ h) -3 │-3│

i) 10 |-9| j) | 4 – 3 | the opposite of 1

2. Put the integers in order from the least to the greatest: a. -6, 0, -8, 5 : ______b. -1, -9, -4, -3: ______

3. Gasoline prices occasionally fluctuate during a two-month period of time. Prices increased 34 cents per gallon during the month of April and decreased 17 cents per gallon during the month of May. Which situation has the greater absolute value? Explain.

4. CHALLENGE: List the integers that can replace n to make the statement -|8| < n ≤ – |-5 | true. Name:______Date: ______Integers & Absolute Values HW Math 7AC

1. Write about a real-life situation that can be described by an integer. Then write the integer – use your notes!______2. Compare using symbols: <, >, =

a) -4 | 2 – 6 |

b) -1 | 10 – 9| c) | – 4 | the opposite of -4 Show work

d) a profit of $15 a loss of $2 Show work

e) | 10 – 4 | | 10 + 4 | f) | -15 | | 1 |

3. Show work a. How many integers are between -4 and 2: ______,

b. List them: ______

4. Mount St. Helens is a volcano in Washington. It erupted in 1980 and threw ash 4 miles into the atmosphere. The mountain had been about 9400 ft. tall when the eruption blew the top off. Now it stands only 8364 ft. high. Find the absolute value of the difference in the heights.

7. A certain stock gained 5 points in one day and lost 4 points the next day. Which situation has the greater absolute value? Explain.