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A homework assignment from an intermediate algebra course. Students are required to identify different types of numbers, including natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers, from a given set. They are also asked to perform arithmetic operations and simplify expressions. No calculator is allowed.
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MTH 104 Intermediate Algebra Name: ______________________
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st Day Homework B (do not use a calculator) P. Seeburger
(d) rational numbers, (e) irrational numbers, (f) real numbers, (g) undefined?
Many of these numbers belong to two or more sets of numbers.
(a) Natural numbers: ___________________ (e) Irrational numbers: _____________________
(b) Whole numbers: ____________________ (f) Real numbers: _________________________
(c) Integers: ___________________________ (g) undefined: ____________________________
(d) Rational numbers: ___________________
W hole numbers, the I ntegers, the R ational numbers, or the Irrational numbers.
Use the letters N , W , I , R , or Irrational. Write as many as apply to all numbers in each set.
Ex. {0, 2, 7} W, I, R
a. {5, 4
9 , – 7
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c. {0, 4, 7} _________________ d. {3, 5, –8} __________________
a. The opposite of –3 _________ b. The negative of –9 __________
c. The additive inverse of 12 _________ d. The negative of 20 __________
a. − 7 b. 5
c. 1 − 10 d. 5 8
e. 5 + 5 · 5 + 5
–2x
4
a. 5 4
− ⋅ b. 6
c. ( 12 ) 18
− ⋅ − d. 5