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Day Problems• Simplify each expression.
1. 2 (5 + 9) – 6 2. (2 + 9) • (8 – 4)
3. 6 [13 – 2 ( 4 + 1)]
Evaluate each expression for m = 4 and r = 8.
4. m2 + r2 5. 2m2r
1.3 Exploring Real Numbers• Natural numbers - counting numbers starting
with 1.Ex. 1 , 2, 3, ….
• Whole numbers – counting numbers starting with 0.Ex. 0, 1, 2, 3, …
• Integers – Counting numbers – no decimals.Ex. -2 , -1, 0,1, 2, etc.
• Rational number – any number that you can write in the form a, where a and b are integers
b and b ≠ 0.
Classifying NumbersName the set(s) of numbers to which each number
belongs.
a. c. 0
b. 23 d. 4.581
Solutions:
a. Rational numbers
b. Natural number, whole number, integer, rational number
c. Whole number, integer, rational
d. Rational number
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Irrational number
• Irrational number - cannot be expressed in the form a, where a and b are integers.
b
Ex.
0.101001000…., π,
These are irrational because the decimals of each of these are nonrepeating and nonterminating.
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