Which number lies between 0.3 and 0.4?
Answer and explanation
Correct answer: 0.35
The governing concept is comparison of decimal numbers using place value and the number line. Rewrite the endpoints with equal decimal places: 0.3 = 0.30 and 0.4 = 0.40. A number lies between them when it is greater than 0.30 and less than 0.40. The number 0.35 satisfies 0.30 < 0.35 < 0.40, so option C is correct. The value 0.25 is less than 0.30, while 0.45 and 0.50 are greater than 0.40. On a number line, 0.35 is located halfway between 0.3 and 0.4, which gives a visual confirmation. Equalizing decimal places avoids the common mistake of comparing digits without considering their place values.
Frequently asked questions
What is the correct answer to this question?
0.35
Why is this the correct answer?
The governing concept is comparison of decimal numbers using place value and the number line. Rewrite the endpoints with equal decimal places: 0.3 = 0.30 and 0.4 = 0.40. A number lies between them when it is greater than 0.30 and less than 0.40. The number 0.35 satisfies 0.30 < 0.35 < 0.40, so option C is correct. The value 0.25 is less than 0.30, while 0.45 and 0.50 are greater than 0.40. On a number line, 0.35 is located halfway between 0.3 and 0.4, which gives a visual confirmation. Equalizing decimal places avoids the common mistake of comparing digits without considering their place values.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Decimal representation.
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