Integers

INTEGERS

I. Represent the following by positive or negative numbers.

1. a loss of P12 11. 3 inches above the knee

2. 500 feet above sea level 12. 4 steps up

3. P2000 deposit 13. 18 km west

4. 6˚ below 0 14. 10 hours late

5. 30 years from now 15. 125˚ above boiling point

6. 15 points won 16. 3˚ below freezing point

7. P850 withdrawal 17. 10% above average

8. 10 months ago 18. 5% below passing

9. 100 kilometers ahead 19. descending 5 steps

10. 4 yards over 20. 6 strides to the left

II. Identify the integer described.

1. 14 units to the left of 0

2. 5 units to the right of -32

3. 20 units to the left of +43

4. 10 units to the right of -5 and then 2 units to the left of the first number identified

5. 6 units to the right of zero and then another 4 units to the right

III. A. In each set, circle the biggest integer.

1. -101, -25, -120, -50, -1000

2. -100, +2, 0, -3, -421

3. -1055, 1555, -850, -2050, -1850

4. -4975, -5678, -206, +3, -104

5. -25, +25, -1, +3, 0

B. Arrange (A) in order.

1. ascending order

2. ascending order

3. ascending order

4. descending order

5. descending order

IV. Write the elements of the set then draw the graph.

1. { integer < +2 }

2. { integer > -3 }

3. { -2 ≤ integer > 3 }

4. { -2 > integer > -12 }

5. { 6 ≥ integer ≥ 4 }

6. { greater than or equal to -3 but less than 10 }

V. Give the opposite of the following

1. -3 4. –(-87)

2. 2 5. the opposite of the opposite of 10

3. –(55) 6. the opposite of the opposite of -9

VI. Perform the indicated operations.

1. (-18) + 12 11. (-10) (7) (-4)

2. 5 + (-11) 12. (-2) (-4) (3) (-1) (2)

3. (-5) + (-8) 13. (-96) + (-3)

4. 4 + {-16 + (-8)} 14. (-21 + 3) (28 ÷ -7)

5. (-12) + 9 + (-3) 15. 204 ÷ -17 × (-17)

6. 8 – (-3) 16. -4 ( 4 + -4)

7. -13 – (-3) 17. -7(2) (-3) ÷ (-6)

8. (-3) – {6 – (-7)} 18. ( 99 ÷ - 11) – (25 + 5) + ( 3 × -2)

9. 22 – 16 – (-7) 19. 9 + 7 + 6 -5 – 8 - 4 - 3 + 5 – 2 + 3

10. -12 – (16) – ( -5) 20. 4 -5 × -2 + 6 +3

VII. Find the missing numbers.

1. _____ + (-5) = 0 4. _____ × (-8) = 32

2. _____ + 14 = 11 5. _____ ÷ 11 = -7

3. _____ - (-4) = 16 6. _____ ÷ - 27 = 2