Number line

On a number line, moving one step to the left decreases the number by 1. Therefore, starting at 5 and moving two steps left gives 5 − 2 = 3. Option C, 4, represents only one step to the left. Exam tip: subtract for leftward movement and add for rightward movement.

On a number line, moving one step to the right increases the number by 1. Starting at -1, the first step reaches 0 and the second step reaches 1. Thus, 0 represents only one rightward step, and the correct answer is 1. Exam tip: add when moving right and subtract when moving left.

On a number line, numbers increase from left to right. Therefore, among the given numbers, the greatest number lies farthest to the right. Negative numbers are generally to the left of zero, so a negative number cannot always be at the far right. Exam tip: moving right on a number line means the numerical value increases.

On a number line, numbers increase from left to right. Therefore, moving a point to the right represents a greater number. Moving left decreases the value, so option B is not correct. Exam tip: Remember: right means greater number, and left means smaller number on a number line.

6 and -6 are each 6 units away from zero, but they lie on opposite sides of zero on the number line. Therefore, they are opposite numbers. They are not the same number because their signs are different. Exam tip: To find the opposite of a number, change its sign; hence, the opposite of 6 is -6.

On a number line, the number farther to the right has the greater value. Among -1, 0, and 1, the number 1 is farthest to the right, so it is the correct answer. Exam tip: while comparing numbers on a number line, the number on the right is greater than the number on the left.

On a number line, the number positioned farther to the right is greater. Since 2 lies to the right of -3, 2 is greater. Thus, the statement that both numbers are equal is incorrect, and the comparison can be determined directly. Exam tip: choose the number farther to the right on the number line as the greater number.

On a number line, the number farther to the right is greater. Since -1 lies to the right of -5 and is closer to zero, -1 is greater. Remember that among negative numbers, the one closer to zero is larger; therefore, -5 is not the correct choice.

On a number line, the number farther to the right is greater. Since 0 lies to the right of -4, 0 is greater. In particular, every negative number is less than zero, so -4 cannot be the larger number. Exam tip: When comparing zero with a negative number, zero is always greater.

On the number line, 9 lies to the right of 7. The number farther to the right is greater, so 9 is greater. Therefore, 7 is not the correct choice, and the two numbers are not equal. Exam tip: To compare numbers on a number line, choose the number located farther to the right.

On a number line, the number farther to the right is greater. Since -2 is closer to zero and lies to the right of -8, -2 is greater. Exam tip: Among negative numbers, the one closer to zero is the greater number.

On a number line, the number farther to the right is greater. Since 3 lies to the right of -1, 3 is greater. Thus, the positive number 3 has a value larger than the negative number -1. Exam tip: On a number line, choose the number on the right as the greater number.

On a number line, the value of numbers increases as we move to the right. Therefore, every number to the right of a given number is greater than it. Option B states the opposite rule: numbers to the left are smaller. Exam tip: Remember, right means greater and left means smaller on a number line.

On a number line, the number farther to the right is greater. Since 10 lies to the right of -10, 10 is greater. A positive number is greater than its corresponding negative number. Exam tip: On a number line, choose the number positioned farther to the right.

On a number line, the number farther to the right is greater. Since 1 lies to the right of -1, 1 is greater. The number -1 is smaller because it lies to the left. Exam tip: when comparing numbers on a number line, choose the number located farther to the right.

On a number line, the number farther to the right is greater. Since 4 lies to the right of 0, 4 is greater. Option B is incorrect because 0 lies to the left of 4. Exam tip: Every positive number is greater than 0.

0 is neither positive nor negative. It is located at the origin on the number line and separates positive and negative numbers. -1 is negative, whereas 1 and \(\frac{1}{2}\) are positive. Exam tip: 0 is a whole number and an integer, but it is neither positive nor negative.

Distance from 0 on a number line is the absolute value of the number. \(\frac{1}{2}\) is \(\frac{1}{2}\) unit away, less than the distances of 2, -3, and -5. Exam tip: choose the smallest absolute value.

In ascending order, numbers are written from the smallest to the greatest. On the number line, -5 lies to the left of -3, and -3 lies to the left of -1; therefore, the correct order is -5, -3, -1. Remember that among negative numbers, the number farther from zero is smaller.

All positive numbers lie to the right of 0 on a number line. Since \(\frac{2}{5}\) is positive, it is to the right of 0. The other choices are negative. Exam tip: check the sign first to identify a number’s position.