Course 2: Integer Computation Study Guide (Chapter 3)

Name __________________________________Date __________________

Course 2: Integer Computation Study Guide (Chapter 3)

Section 3-1: What are Integers? We named integers from word phrases, graphed integers on a number line (example shown below), named absolute values, and evaluated expressions containing absolute values.

Number Line Sample: A = -5, F = 3.5, D = 1, C = -2, E = 2.5, B = -2.5

Vocabulary: Integer ?Any number that is a positive or negative whole number or zero. Absolute Value ? The distance of a number to zero. **An absolute value is always a positive number or zero.

**Find the absolute value of each. 1. |-5|

2. |25|

**Compare each set of numbers using , or =.

3. |-5|

|4|

4. -12 -14

5. |-15|

|15|

**Graph the following numbers on a number line, and then list them least to greatest.

6.

0, -4, 5, -6

Name __________________________________Date __________________ Sections 3-2 and 3-3 ? Adding and Subtracting Integers ***We used chips, number lines, and rules to learn how to add and subtract integers. Addition Rule: **Remember to tune of "Row, Row, Row Your Boat" Same Sign add and keep, Different Signs Subtract. Keep the sign of the higher number (absolute value), then you'll be exact. Subtraction Rule: Change all subtraction to addition, then follow rules for addition. Tip to change: Add a line, change the sign.

Solve and show your work on lined paper. 7. -3 + (-1)

8. -14 + 28

9. -101 + 121

10. 65 + (-5)

11. 4 ? 8

12. 31 ? (-52)

13. -27 ? (-27)

14. -3 ? 1

Name __________________________________Date __________________

Sections 3-4 and 3-5: Products and Quotients of Integers **Multiply and Divide like we originally learned to multiply and divide numbers. Apply the correct sign based on the rules.

Rules:

1. Multiplying or Dividing 2 numbers with the same sign will always give a

positive answer.

Positive x Positive = Positive

Positive ? Positive = Positive

Negative x Negative = Positive

Negative ? Negative = Positive

2. Multiplying or Dividing 2 numbers with different signs will always give a

negative answer.

Positive x Negative = Negative

Positive ? Negative = Negative

Negative x Positive = Negative

Negative ? Positive = Negative

Solve and show any needed work on lined paper. 15. -4 ? (-9)

16. -8 ? 5

17. 224 x 12

18. -72 x 5

19. 121 ? (-11)

20. -8 ? (-2)

Name __________________________________Date __________________ **Compute and show your work! Make sure you are careful with the type of problem listed. 21. -18 + (-15) 22. 23 + (-29)

23. -39 - (-53)

24. 27 ? 61 25. -13 ? (-13)

26. -91 ? 7

**Write a problem and solve the word problem. 27. Suppose you borrow $15 from each of 5 friends. Write an integer to express your debt.

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