11-1 Properties of Rational Numbers
11-2 Decimal Forms of Rational Numbers
11. 3 Rational Square Roots
11.4 Irrational Square Roots
11.5 Square Roots of Variable Expressions
100
A real number that can be expressed as the quotient of two integers.
What is a rational number?
100
A) What is 1/2 plus 2/2 as a decimal? B) Is it finite or infinite? Explain.
A) 1.5 B) Finite, because it has a zero remainder.
100
(That is my square root sign) ____ -\/ 196
____ -\/ 196 = -14
100
Simplify. _____ 7\/ 1200
__ 140 \/ 3
100
Simplify. ________ \/ .009(y^2)
3/10 |y|
200
State whether the fraction increases or decreases in value as x takes on its value in increasing order (If x=0,2,4,6).
3x/5 Increases 0/5, 6/5, etc... (try to figure out the rest ;D)
200
Find the number halfway between the given numbers. 5/8 and 0.634
.6295
200
Find the indicated square roots. _____ / 144 / ------ \/ 1000
_____ / 144 12 / ------ = ------ = 1.2 \/ 1000 10
200
Find the square root of 700 (round to the nearest tenth).
What is 26.5
200
Simplify. _____________ \/ 144(g^2)(m^2)
What is 12 |gm|
300
Arrange each group of numbers in order from least to greatest. -3/7, 5/42, 10/6, -9/7.
-9/7, -3/7, 5/42, 10/6.
300
(3^2)*3607*3803
What is the prime factorization of 23,456,789.
300
What is -6.4 as a fraction in simplest form?
-64/10 = -32/5 = -6 2/5
300
_____ \/ 400
What is 20
300
The length of the base of a triangle is 6 times the length of its altitude. Find the length of the base if the area of the triangle is 54(m^2).
(x^2)=18 x=4.2 The base is 25.2 meters.
400
Replace the __ with <, >, or = to make the statement true. 11/15__2/3
11/15>2/3
400
Express whether each rational number as terminating or repeating decimal. A)9/2 B)8/500
A) terminating decimal B) terminating decimal
400
What is the square root of 49.
7
400
_____ / 144 / ------ \/ 81
What is 12 4 --- = ---- = 1 1/3 9 3
400
Find the length of a side of a square whose area is 300 cm^2.
What is 17.3 cm
500
Write six as a quotient of integers by providing three examples.
6/1 12/2 18/3 etc...
500
Answer the following questions with detail: A) Can any common fraction be written as a decimal? Explain. B) What is a finite decimal? Provide an example. C) What is an infinite decimal. Provide an Example.
A) Yes, you can write any common fraction as a decimal by dividing the numerator by the denominator. B) A decimal whose remainder is zero. Ex: 1/2=.5 C) A decimal that will continue without end. These decimals do not end up reaching a zero remainder, but rather start to repeat after a while. Ex: 7/11=0.636363...
500
What is the square root of 36.
6
500
Real Numbers that cannot be expressed in the form a/b.
What is an irrational number?
500
An old water pipe is to be replaced by a new one so that twice as much water can flow through the pipe. What is the ratio of the radius of the new pipe to that of the old pipe?
__ \/ 2. 1.4 ---- = ----- 1 1
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