Where is the real number −1.25 located on the number line?
Answer and explanation
Correct answer: Between −2 and −1
To locate −1.25, compare it with the adjacent integers −2 and −1. Since −2 < −1.25 < −1, the number lies between −2 and −1, so option D is correct. On the number line, −1.25 is 0.75 unit to the right of −2 and 0.25 unit to the left of −1. The negative sign places it to the left of zero, and its magnitude is greater than 1, so it must lie to the left of −1 rather than between −1 and 0. Options A and C are positive intervals and cannot contain a negative number. Option B contains numbers such as −0.5, which are greater than −1, not −1.25.
Frequently asked questions
What is the correct answer to this question?
Between −2 and −1
Why is this the correct answer?
To locate −1.25, compare it with the adjacent integers −2 and −1. Since −2 < −1.25 < −1, the number lies between −2 and −1, so option D is correct. On the number line, −1.25 is 0.75 unit to the right of −2 and 0.25 unit to the left of −1. The negative sign places it to the left of zero, and its magnitude is greater than 1, so it must lie to the left of −1 rather than between −1 and 0. Options A and C are positive intervals and cannot contain a negative number. Option B contains numbers such as −0.5, which are greater than −1, not −1.25.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Number line.
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