Which point is reached by moving (4) units to the left from (-3) on the number line?
Answer and explanation
Correct answer: -(7) / (-7)
On a number line, moving to the left means moving in the negative direction. Each unit of leftward movement decreases the number by one. Starting at \\(-3\\) and moving four units left therefore means subtracting \\(4\\) from \\(-3\\), not adding it. This gives a point farther from zero on the negative side.
The calculation is \\(-3-4=-7\\). The four successive positions are \\(-4,-5,-6,-7\\), so the final point is \\(-7\\). Hence option A is correct. A common error is to use \\(-3+4=1\\), but adding four represents movement to the right, not to the left. The direction on the number line determines the sign of the change.
Frequently asked questions
What is the correct answer to this question?
-(7) / (-7)
Why is this the correct answer?
On a number line, moving to the left means moving in the negative direction. Each unit of leftward movement decreases the number by one. Starting at \\(-3\\) and moving four units left therefore means subtracting \\(4\\) from \\(-3\\), not adding it. This gives a point farther from zero on the negative side.
The calculation is \\(-3-4=-7\\). The four successive positions are \\(-4,-5,-6,-7\\), so the final point is \\(-7\\). Hence option A is correct. A common error is to use \\(-3+4=1\\), but adding four represents movement to the right, not to the left. The direction on the number line determines the sign of the change.
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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