Download Unit 1 Review File - Northwest ISD Moodle

Unit 1 Test Review – Real Number System
Topics tested on Unit 1 Test:
 Scientific Notation and Standard Notation
o Be able to convert between scientific and standard.
 Square roots
o Be able to estimate the value of an irrational square root between two whole numbers and know which
whole number it would be closer to.
 Real Numbers
o Understand the relationship between each subset of the real number system. Be able to place values in the
most appropriate subset.
 Ordering Real Numbers
o Compare real numbers and order values from least to greatest. This includes whole numbers, integers,
irrational values, and rational values (positive and negative fractions and decimals).
1. Write each value below in scientific notation.
 56,700,000 = ______________________
 12,000,000,000 = ______________________
 0.000065 = ______________________
 0.00004 = ______________________
 109,000 = ______________________
 0.0265 = ______________________
 340 = ______________________
 50,000 = ______________________
2. Write the given values in standard notation.
 4 × 103 = ______________________
 9.3 × 105= ______________________
 2.1 × 10−4= ______________________
 4.7 × 10−2= ______________________
2. What number belongs to the set of rational numbers but does not belong to the set of whole numbers?
a. −1
b. 0
c. 1
d. 2
3. How many decimal places does an irrational number have?
a. Zero
b. One
c. Infinite
d. Between one and ten
4. Which set of numbers does not contain 0?
a. Whole numbers
b. Natural numbers
c. Integers
d. Rational Numbers
5. For each given value determine ALL sets of numbers it would belong to.
 √20
 √5
4
15
3
 −5

 √9
0
 2.4 × 10−1
 −7.1 × 103
6. Which set of numbers is part of the rational numbers set?
a. Whole numbers
b. Integers
c. Natural numbers
d. All the above
Unit 1 Test Review – Real Number System
7. Which statement is false?
a. All natural numbers are integers.
b. All whole numbers are natural numbers.
c. All integers are rational numbers.
d. All whole numbers are integers.
8. Tell whether each statement is true or false:
 The set of whole numbers contain the set of rational numbers. _________
 Every terminating decimal is a rational number. _________
 Every square root is a rational number. ________
9. List the following numbers in order from least to greatest.
5
− ,
8
−1.2,
2
3
, |−4|, − 1
3
4
10. Circle each value that would be less than −1.7
9
− ,
4
1
− ,
2
1
−1 ,
4
−√3,
−1.5,
−2
11. List the following numbers in order from greatest to least.
1
− ,
3
3
4
2.4 × 10−3 , 0.05, − , −
7
5
12. List the following numbers in order from least to greatest.
√36,
−2.7,
7
18
, 3.1 × 101 , −
9
2
13. List the following numbers in order from least to greatest.
3
−1 ,
4
−2.3,
5
2
1
− , − √4 , − , − 1
8
3
5
14. List the following numbers in order from greatest to least.
√8,
7
2
, − , 0, − 1.2, 3.4,
4
5
−
7
6