If point P is 0.75 unit to the right of −1 on the number line, which number does P represent?
Answer and explanation
Correct answer: −0.25
On a number line, moving to the right means adding the stated distance, while moving to the left means subtracting it. Starting at −1 and moving 0.75 unit to the right gives −1 + 0.75. Write −1 as −1.00: −1.00 + 0.75 = −0.25. Therefore point P represents −0.25, so option B is correct. Option A would result from moving 0.75 unit left, option C incorrectly changes the sign of the starting point, and option D treats the starting value as positive. The calculation also places P between −1 and 0, exactly as the described rightward movement requires.
Frequently asked questions
What is the correct answer to this question?
−0.25
Why is this the correct answer?
On a number line, moving to the right means adding the stated distance, while moving to the left means subtracting it. Starting at −1 and moving 0.75 unit to the right gives −1 + 0.75. Write −1 as −1.00: −1.00 + 0.75 = −0.25. Therefore point P represents −0.25, so option B is correct. Option A would result from moving 0.75 unit left, option C incorrectly changes the sign of the starting point, and option D treats the starting value as positive. The calculation also places P between −1 and 0, exactly as the described rightward movement requires.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Representing real numbers on the number line.
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