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```					NOTES:
P = ( ) PARENTHESIS
E = EXPONENTS
M = MULTIPLICATION
D = DIVISION
A = ADDITION
S = SUBTRACTION

CLASSWORK AND HOMEWORK

INDIVIDUAL PRACTICE 1: PROPERTIES OF REAL NUMBERS

Name the property that is illustrated by each equation below.

1.                                   2. 8 + 43 = 43 +8            3.

4. (-7 + 4) + 1 = -7 + (4 +1)        5. -0.3 + 0.3 = 0            6. 9(7.7) = 7.3(9)

7. 5(12-4) = 5(12) – 5(4)            8. 8(9 · 11) = (8· 9)· 11    9. -0.5 · (-2) = 1

Bonus: For the problems below, use the properties of real numbers to tell whether the expressions
are equivalent. If they are equivalent explain which property you used.

10. 6m + 1 and 1· 6 + m              11. –(5 – 9) and 9 – 5       12. 8 – 4c and 4c – 8
13. 9y and 9 + y                    14. 3(5 + z) and 15 + z         15. mp + nq and np + mq

1. {1, 2, 3, 4 …} is which set of real numbers?

2. Define the set of integers.

3. Check set or sets of numbers each number belongs to
Counting     Whole      Integer       Rational   Irrational   Real
number       number                   Number     Number       Number
8
a)

b)

c)
-10
d)
e)

3,333.3
f)

g)

h)

i)
4. What set or sets of numbers does 4.5 belong to? List all of them.

5. What set or sets of numbers does     belong to? List all of them.

6. What set or sets of numbers does        belong to? List all of them.

7. What set or sets of numbers does belong to? List all of them.

8. What set or sets of numbers does 0 belong to? List all of them.

SOLVE

1. 16  4  2

2. 5 • (8 ÷ 4) – 2
3. 3 + (7 • 3) – 10

4. 7 • (16 -    )

5. 18 ÷ 3 + 6 • 5

6. 16 – 10 ÷ 2 +

7. 10 + [15 – 2 • (7 – 4)]

8. 2 •     +5

9. 7 + 18 – (6 - 3)
10.   + 3 • (2 – 1)

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