Which point is 3/20 unit to the left of 7/10?
Answer and explanation
Correct answer: 11/20
Movement to the left on a number line means subtracting the stated distance from the starting coordinate. The starting point is 7/10 and the movement is 3/20 unit, so calculate 7/10 − 3/20. Convert 7/10 to twentieths: 7/10 = 14/20. Then 14/20 − 3/20 = 11/20. Therefore the required point is 11/20, making option A correct. Option B adds the distance and therefore represents movement to the right. Option C is 10/20 and does not result from the required subtraction, while option D uses an incorrect denominator conversion. The direction word “left” determines the operation.
Frequently asked questions
What is the correct answer to this question?
11/20
Why is this the correct answer?
Movement to the left on a number line means subtracting the stated distance from the starting coordinate. The starting point is 7/10 and the movement is 3/20 unit, so calculate 7/10 − 3/20. Convert 7/10 to twentieths: 7/10 = 14/20. Then 14/20 − 3/20 = 11/20. Therefore the required point is 11/20, making option A correct. Option B adds the distance and therefore represents movement to the right. Option C is 10/20 and does not result from the required subtraction, while option D uses an incorrect denominator conversion. The direction word “left” determines the operation.
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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