AnswersAlgebra IIOperations on Rational and Irrational Numbers

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1
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Which number is irrational?

A
2 ninths
B
8 point 2 repeating 6
C
square root of 11
D
negative 4
2
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Which statement is true about the sum of two rational numbers?

A
It can never be written as a fraction.
B
It can never be written a terminating decimal.
C
It can always be written as a fraction.
D
It can always be written as a repeating decimal.
3

Which of the following will result in a rational answer?

A
multiplying a fraction by a repeating decimal
B
multiplying pi by a fraction
C
adding the square root of a non perfect square to a whole number
D
adding the square root of a perfect square to pi
4

How do you know that the sum of open paren negative 2 and 3 fourths close paren and 5 ninths is rational?

A
The sum is a fraction.
B
The sum is a non-terminating and a non-repeating decimal.
C
The sum is a terminating and a repeating decimal.
D
The sum is an integer.
5

Which of the following is irrational?

A
square root of 3 plus 8 point 4 8 6
B
8 and 2 thirds times 17 point 7 5
C
7 point 5 repeating 1 times negative 4
D
square root of 16 plus 3 fourths
6

The product of two rational numbers can always be written as

A
a whole number.
B
an integer.
C
a fraction.
D
an irrational number.
8

The sum of two rational numbers will always be

A
an irrational number.
B
a rational number.
C
an integer.
D
a whole number.
9

Which number is not a rational number?

A
negative 5 and 4 over 11
B
square root of 31
C
18 point 4 repeating 6
D
7 point 6 0 8
10

4 point 5 plus pi is

A
rational because it is a terminating decimal.
B
irrational because it is a non-terminating and non-repeating decimal.
C
irrational because it is a repeating decimal.
D
rational because it is a non-terminating and non-repeating decimal.

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