Which of the following pairs of real numbers shows the correct order when comparing their magnitudes?
Options
A
B
C
D
Answer & Analysis
Answer
D
Analysis
Question Analysis
This question assesses students' ability to compare the magnitudes of real numbers, including decimals and non - terminating decimals.
The main focus is on understanding the rules of decimal comparison.
Key Concept Explanation
When comparing decimal numbers, start from the left - most digit and compare digit by digit.
For non - terminating decimals, compare the digits that are known.
A negative number with a larger absolute value is smaller.
Step - by - Step Solution
Analyze option A: In 0.25 and 0.3, comparing the tenths place, 2 < 3, so , this option is incorrect.
Analyze option B: The absolute value of - 2 is 2, and the absolute value of - 1.5 is 1.5. Since 2 > 1.5, then , this option is wrong.
Analyze option C:
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