Question

the values x, y, and z are as follows.

(x = \frac{3}{5})

(y = \frac{5}{4})

(z = 0.45)

which comparison statement is true?

a. (x < z < y)
b. (z < x < y)
c. (y < x < z)
d. (x < y < z)

Explanation:

Convert x to a decimal

Using the Fraction to Decimal Conversion knowledge point

$$ x = \frac{3}{5} = 0.6 $$

Convert y to a decimal

Using the Fraction to Decimal Conversion knowledge point

$$ y = \frac{5}{4} = 1.25 $$

Compare the decimal values

Using the Comparing Decimals knowledge point

$$ 0.45 < 0.6 < 1.25 $$

Order the variables

Using the Ordering Decimals knowledge point

$$ z < x < y $$

Answer:

• (A) \(x < z < y\)
• (B) \(z < x < y\) (Correct answer)
• (C) \(y < x < z\)
• (D) \(x < y < z\)