Which decimal number lies strictly between 1.2 and 1.3?
Answer and explanation
Correct answer: 1.25
The governing concept is comparison of decimal numbers by place value. To compare accurately, write the endpoints with the same number of decimal places: 1.2 = 1.20 and 1.3 = 1.30. Now test each option. The number 1.25 has the same whole-number part, 1, and its hundredths value places it after 1.20 but before 1.30; therefore 1.20 < 1.25 < 1.30. Option C is correct. The value 1.19 is below 1.20, 1.31 is above 1.30, and 1.03 is also below 1.20. The phrase strictly between excludes the endpoints themselves, although none of the listed options equals an endpoint. This comparison relies on digit positions, not on the number of written digits.
Frequently asked questions
What is the correct answer to this question?
1.25
Why is this the correct answer?
The governing concept is comparison of decimal numbers by place value. To compare accurately, write the endpoints with the same number of decimal places: 1.2 = 1.20 and 1.3 = 1.30. Now test each option. The number 1.25 has the same whole-number part, 1, and its hundredths value places it after 1.20 but before 1.30; therefore 1.20 < 1.25 < 1.30. Option C is correct. The value 1.19 is below 1.20, 1.31 is above 1.30, and 1.03 is also below 1.20. The phrase strictly between excludes the endpoints themselves, although none of the listed options equals an endpoint. This comparison relies on digit positions, not on the number of written digits.
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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