Integers & Absolute Value

1. Integers & Absolute Value

2. Directions: Write the numbers from least to greatest. • 1.) 51 41 54 29 • 2.) 203 230 302 233 • 3.) 121 111 212 222 • 4.) 975 982 985 970 Warm-Up

3. Two numbers that are the same distance from 0 on a number line, but in opposite directions, are opposites • Integers are the set of positive whole numbers, their opposites, and zeros • The absolute value of a number is its distance from 0 on a number line • You can compare and order integers by graphing • Numbers increase in value from left to right Comparing & Ordering Integers

4. 1.) Compare -7 and 1 using <, >, or =. Compare using <, >, or =. 2.) 0 ___ -3 3.) -5 ___ -3 4.) 5 ___ -1 5.) 7 ___ -12 Example(s):

5. When ordering integers, remember, what looks like the largest may not necessarily be the largest. Example(s): 10.) Order the set of numbers from least to greatest. -4, 8, -2, -6, 3 Ordering Integers

6. Order each of the set of numbers from least to greatest. • 11.) 2, -3, -7, 1, 10 • 12.) 0, -4, 2, -9, 5 Example(s):

7. Find the opposite of each of the following. • 1.) -4 • 2.) 6 • 3.) -121 • 4.) 193 Example(s):

8. 13.) In golf, the person with the lowest score is the winner. By ordering their scores, rank the players in the chart below from first place to fourth place. Example(s):

9. Find each absolute value. • 1.) │4│ • 2.) │-4│ • 3.) │-33│ • 4.) │12│ • 5.) │9│ Absolute Value

10. AP – Textbook pg. 1st Period – Textbook pg. 36 #1-39 Homework

11. negative x/÷ negative = positive negative x/÷ positive = negative positive x/÷ negative = negative positive x/÷ positive = positive Multiplying/Dividing Integers

12. Find each product. 1.) -2 • (-13) 2.) 6 • -7 Find each quotient. 3.) -50 ÷ -5 4.) 39 ÷ -3 Example(s):

13. Find each product or quotient. • 1.) -9 • 11 = • 2.) -91 ÷ -7 = • 3.) -144 ÷ 4 = • 4.) -8 • -12 = • 5.) -3 • 7 • -4 = Warm-Up

14. Find each product or quotient. • 1.) -9 • -12 = • 2.) -147 ÷ 7 = • 3.) -196 ÷ 4 = • 4.) -8 • -15 = • 5.) -3 • -7 • -6 = Warm-up

15. Two numbers with a sum of 0 are additive inverse if the signs are the same, add the numbers, and keep the sign of the larger number If the signs are different, subtract the numbers, then keep the sign of the larger number Adding/Subtracting Integers

16. Find each sum. 1.) -99 + 137 = 38 Here the signs are DIFFERENT, the 99 is negative and the 137 is positive, therefore we subtract the two numbers and keep the sign of the larger number. 2.) -10 – 16 = -26 Here the signs are the SAME, the 10 is negative and the 16 is negative also, therefore we add the two numbers and keep the sign of the larger number Example(s):

17. Solve each of the following. • 3.) -19 + 14 = • 4.) -15 – (-31) = • 5.) 16 – 42 = • 6.) -17 + (-21) + 10 = • 7.) 21 – (-11) - 4 = Example(s):

18. 8.) In any given season, the temperature has the ability to fluctuate. On Tuesday, February 12, 2099, the temperature was -4°F. The following day, the temperature had risen 10 degrees. What was the temperature on Wednesday? Example(s):

19. Find each range. 9.) between 10 and (-3) 10.) between 6 and (-9) 11.) between -11 and 11 Example(s):

20. 12.) The highest temperature ever recorded in the United States was 134°F, measured in Death Valley, California. The coldest temperature, -80°F, was recorded at Prospect Creek, Alaska. What is the difference between these temperatures? Example(s):

21. Textbook pg. Homework

22. Use mental math to simplify. • 1.) 2.5 + 7.1 + 2.5 • 2.) 6.2 + 6.2 + 5.6 • 3.) 8.1 + 3.8 + 8.1 • 4.) 7.3 + 4.5 + 4.5 Warm-up

23. “Please Excuse My Dear Aunt Sally” • P - parenthesis • E – exponents • M/D – multiply and divide in order from left to right • A/S – add and subtract in order from left to right Order of Operations

24. Find the value of each expression. • 1.) 30 ÷ 3 + 2 • 6 2.) 30 ÷ (3 + 2) • 6 • 3.) 7(-4 + 2) – 1 4.) -40 + 2 • 5 • 4 Example(s):

25. Find the value of each expression. • 5.) 8 + 4 11 6 Example(s):

26. The distributive property is used to simplify It combines multiplication with addition or subtraction a(b + c) = a(b) + a(c) a(b – c) = a(b) – a(c) The distributive property

27. Use the Distributive Property for each of the following. 1.) 6(53) 2.) 7(5.9) 3.) 8(87) Example(s):