The number b is rational. Which statement about b - 10 is true? Choices: (A)b - 10 is rational. (B)b - 10 is irrational. (C)b - 10 can be rational or irrational, depending on the value of b.

Identify Number 10: Identify the nature of the number 10. 10 is an integer, which is also a rational number since it can be expressed as a fraction (10/1).Properties of Rational Numbers: Understand the properties of rational numbers. A rational number minus another rational number is always a rational number. This is because the set of rational numbers is closed under subtraction.Apply Property to Expression: Apply the property to the given expression. Since b is rational and 10 is rational, their difference b - 10 must also be rational.

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The number $b$ is rational. Which statement about $b - 10$ is true? $\newline$ Choices: $\newline$ (A) $b - 10$ is rational. $\newline$ (B) $b - 10$ is irrational. $\newline$ (C) $b - 10$ can be rational or irrational, depending on the value of $b$ .

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Math Problems

Algebra 1

Properties of operations on rational and irrational numbers

Full solution

Q. The number

b

is rational. Which statement about

b - 10

is true?

\newline

Choices:

\newline

(A)

b - 10

is rational.

\newline

(B)

b - 10

is irrational.

\newline

(C)

b - 10

can be rational or irrational, depending on the value of

b

Identify Number $10$ : Identify the nature of the number $10$ . $10$ is an integer, which is also a rational number since it can be expressed as a fraction $(10/1)$ .
Properties of Rational Numbers: Understand the properties of rational numbers. A rational number minus another rational number is always a rational number. This is because the set of rational numbers is closed under subtraction.
Apply Property to Expression: Apply the property to the given expression. $\newline$ Since $b$ is rational and $10$ is rational, their difference $b - 10$ must also be rational.