Vocabulary
Fractions & Decimals
Squares & Square Roots
Rational V. Irrational
Classify Numbers
Compare & Order Numbers
Word Problems
100
A number that cannot be expressed as a ratio a/b , where a and B are integers and b cannot equal 0
Irrational
100
Convert 0.7 into a fraction.
7/10
100
+-sqrt(144)
+-12
100
Select all numbers that are irrational:
A. 1/3
B. sqrt(2)
C. pi
D. 2 2/9
E. -sqrt(4)
B & C
100
7 can be classified by the following terms:
A. Rational
B. Irrational
C. Integer
D. Whole
E. Natural
F. Real
A, C, D, E, & F
NOT B
100
Order the set from least to greatest:
{sqrt(3), pi, sqrt(2)}
The least is sqrt(2) , then sqrt(3) , and the greatest is pi
100
A student claims that the decimal 0.454545... is a rational number because it repeats. Another student argues that not all repeating decimals are rational.
Which student is correct? Explain your answer.
A repeating decimal is rational because it can be expressed as a fraction.
200
The set of all whole numbers and their opposites
Integers
200
Convert 3 5/8 into a decimal. Determine if it terminates or repeats.
3.625; terminates
200
Estimate sqrt(39) to the closest integer.
6
200
Is the following value rational or irrational?
- sqrt(82)
Irrational
200
-sqrt(67) can be classified by the following terms:
A. Rational
B. Irrational
C. Integer
D. Whole
E. Natural
F. Real
B & F
200
Order the set from greatest to least:
{sqrt(17),4.5, sqrt(29), (4pi)/3}
The greatest is sqrt(29) , then 4.5 , then (4pi)/3 , and the least is sqrt(17) .
200
Amelia Bedelia is building a 49 ft2 garden. She wants to fence 2 sides. How much fencing will she need?
14 ft
300
A decimal number that has a definitive number of digits after the decimal - the digits end.
Terminating Decimal
300
Convert -7 1/11 into a decimal. Determine if it terminates or repeats.
-7.bar(09) ; repeats
300
Estimate -sqrt(70) to the nearest integer
-8
300
Which number is irrational?
A. sqrt(64)
B. 1/2
C. sqrt(16)/4
D. sqrt(20)/5
D
300
0 can be classified by the following terms:
A. Rational
B. Irrational
C. Integer
D. Whole
E. Natural
F. Real
A, C, D, & F
300
Select three numbers that are greater than 1.5 and less than 5.
A. sqrt(25)
B. sqrt(2)
C. sqrt(16)
D. sqrt(7)
E. sqrt(4)
C, D, & E
300
Maxwell thinks that t^2=64 is 32. Is he correct? Explain your answer.
Maxwell split 64 in half. He should've taken the square root which is 8.
400
One of the two equal factors of a number. If a^2=b , then a is a square root of b.
Square
400
Convert 0.bar(7) into a fraction.
7/9
400
Estimate sqrt(90) to the nearest tenth.
9.5
400
Is the following value rational or irrational?
121/sqrt(49)
Rational
400
The most specific classification of 0.121212... is...
Rational
400
Which irrational number is greater than 12?
A. sqrt(150)
B. 3pi
C. sqrt(122)
D. -sqrt(144)
A
400
The number line shows four points labeled A, B, C, & D.
Select True or False for each statement about the number line.
A. The value of sqrt(23) is between points A and C
B. The value of sqrt(29) is to the left of point C
C. The value of point B is less than sqrt(31)
A. True
B. False
C. True
500
A number whose square root is a whole number
Perfect Square
500
Enter 0.bar(36) as a simplified rational number.
36/99=4/11
500
Estimate sqrt(-26) to the nearest integer.
NOT POSSIBLE
500
A student made this list:
Rational Numbers: {3/4, 2.5, 0.333..., sqrt(4)}
Irrational Numbers: {sqrt(2), pi, 0.1121231234..., 22/7}
Did the student classify the numbers correctly? Explain your answer.
The student did not classify the numbers correctly because 22/7 is a rational number since it is expressed as a ratio of two nonzero integers.
500
The most specific classification of sqrt(81) is...
Natural
500
Determine whether each comparison is true or false.
A. 4<sqrt(20)
B. 14<5pi
C. sqrt(5)<1.5
A. True
B. True
C. False
500
George is trying to purchase a windowsill for his 5 windows that have an area of 180 in2. What is the length of the windowsill needed to go across the bottom length of the 5 windows?
30 in