Download Day 1 - Intro to the Number System Vocabulary Review

Accelerated CCGPS…Math II
Name________________________
Intro to the Number System
Period_____Date_______________
According to Galileo Galilei, “Mathematics is the language with which God has written the
universe.” Along with each language comes a special vocabulary and this task is designed to
see how much of that vocabulary you already know. Enjoy!
1. Write the smallest whole number. __________
2. Write 3 natural (counting) numbers. __________ , __________ , __________
3. What is the difference between whole numbers and natural numbers?
4. Write 3 integers that are NOT whole numbers. _______, ______, ______
5. What is the difference between whole numbers and integers?
6. Write 3 rational numbers that have different forms. _______ , ______ , ______
7. What other names have you heard for “rational numbers”?
8. How do you know the numbers in part 4 are really rational numbers?
9. Write 3 irrational numbers. ________ , _______ , _________
10. What is the difference between irrational and rational numbers?
11. Write 3 numbers that are considered perfect squares. ______ , ______ , ______
12. Write 3 numbers that are considered perfect cubes. _______ , _______ , _______
13. Consider the fraction “20/6”. What form is this fraction in? __________________
A) Write this fraction in “lowest terms”. __________
B) Write this fraction as a “mixed number”. __________
C) Write this fraction as a “mixed number in lowest terms”. __________
14. The numbers 2/3 and 2 are called “exact values”, while 0.66666 and 1.41459
are called “approximate values” for these same numbers. Explain the difference
between these two terms.
15. What is the additive identity? ______ What is the multiplicative identity?_______
16. What is the additive inverse of 3?_____What is the multiplicative inverse of 3?__
17. Write an example of the commutative property.___________________________
18. Write an example of the associative property.____________________________
19. Write an example of the distributive property. ___________________________
Mathematical sentences are part of this rich language. Rewrite each of these
expressions in simplest form (if possible) to create mathematical equations. You should
not need a calculator to do these. (However, a calculator may be used for checking.)
1.
10. (-2)4
7+7
2. x + x
11. 20
3.
12. 2-1
7 7
13. 2-3
4. 7•7
5.
7
14. (22)(23)
7
15. (22)3
6. x • x
16. 2 3 2
7. (x + y)2
8.

2 7
17.

2
18.
2 3
2
35
33
9. -24
More Problems:
I. Simplify these expressions completely:
1.
k a k 
2.
k a 
3.
b
b
ka
kb
4.
k  k c 
5.
a
6.
b
4
b 2k 0

3
k a m bn b
k b m a n b
II. Answer each of the following:
1.
What is 35% of 60?
2. 15 is what percent of 75?
3. 50 is 80% of what number?
4. Explain the difference between an expression and an equation.
III.
Solve each of the following:
1.
7x – 48 = 2(x – 31)
3. 3 – 2(x – 6) = 4x + 3(5 –2x)
2.
3
4

5x
3x
4.
8
4

6x  5
3x