AnswersSC-TX-TSIA2-MathematicsOperations on Rational and Irrational Numbers

Operations on Rational and Irrational Numbers Answers

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is

Question illustration
A
rational because it is a terminating decimal.
B
irrational because it is a repeating decimal.
C
irrational because it is a non-terminating and non-repeating decimal.
D
rational because it is a non-terminating and non-repeating decimal.
2
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Which statement is true about the sum of two rational numbers?

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

The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse by the formula a2 + b2 = c2.If a is a rational number and b is a rational number, why could c be an irrational number?

A
The square of rational numbers is irrational, and sum of two irrational numbers is irrational.
B
The product of two rational numbers is rational, and the sum of two rational numbers is irrational.
C
The left side of the equation will result in a rational number, which is a perfect square.
D
The left side of the equation will result in a rational number, which could be a non-perfect square.
4

Which of the following is irrational?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

The product of two rational numbers can always be written as

A
an irrational number.
B
a whole number.
C
an integer.
D
a fraction.
6

The sum of two rational numbers will always be

A
an irrational number.
B
an integer.
C
a rational number.
D
a whole number.
7

Which of the following is rational?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

The sum or product of a non-zero rational number and an irrational number is always

A
rational.
B
irrational.
C
a repeating decimal.
D
a fraction.
9

How do you know that the sum of and is rational?

Question illustration
A
The sum is a terminating and a repeating decimal.
B
The sum is a non-terminating and a non-repeating decimal.
C
The sum is a fraction.
D
The sum is an integer.
10

Which of the following will result in a rational answer?

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

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