Number line

On a number line, numbers to the right of 3 are greater than 3. Among the given options, 5 lies to the right of 3, so it is the correct answer. Option 3 is equal to 3, not greater. Exam tip: on a number line, the number farther to the right is larger.

On a number line, the number farther to the right is greater. Since -4 lies to the right of -10, -4 is greater, so option B is correct. Among negative numbers, the number closer to zero is greater; therefore, -10 is not the correct choice. Exam tip: Compare negative numbers by checking their positions on the number line or their distance from zero.

The midpoint of two numbers a and b is \((a+b)/2\). Here, \((2+2)/2=2\), so the correct answer is 2. When both numbers are the same, their midpoint is that same number; 1 and 3 are nearby but incorrect choices. Exam tip: On a number line, the midpoint is equally distant from both endpoints.

On the number line, the number farther to the right is greater. Since 6 lies to the right of -6, 6 is greater. Thus, the positive number 6 is greater than the negative number -6. Exam tip: When positive and negative numbers have the same magnitude, the positive number is always greater.

On a number line, the number farther to the right is greater. Since 8 lies to the right of 1, 8 is the greater number. Both 0 and -1 are less than 1. Exam tip: numbers increase as we move from left to right on the number line.

All negative numbers lie to the left of 0 on a number line. Therefore, -4 lies to the left of 0. \(\frac{3}{5}\) and 7 are positive, so they lie to the right of 0, while 0 itself is the origin. Exam tip: values decrease as you move left on a number line.

Negative numbers are located to the left of 0 on the number line, so -5 lies to the left of 0. Remember that moving left on a number line means the numerical value decreases.

On the number line, 10 lies to the right of 2. Numbers increase as we move to the right, so 10 > 2 and 10 is the correct answer. The closest distractor is 2, but it is smaller than 10. Exam tip: For two positive numbers, the number farther to the right on the number line is greater.

On a number line, the number located farther to the right is greater. Since 0 lies to the right of -8, we have 0 > -8, so option B is correct. Zero is greater than every negative number. Exam tip: remember that numbers increase as we move from left to right on the number line.

On a number line, the number located farther to the right is greater. Since 5 lies to the right of -5, 5 is the greater number. The values 0 and -1 are not the given numbers being compared. Exam tip: A positive number is greater than its corresponding negative number.

3 is a positive number, so it lies three units to the right of 0 on the number line. Therefore, option B is correct. Option A is the direction used for negative numbers. Exam tip: positive numbers lie to the right of 0, while negative numbers lie to its left.

The distance between two numbers on a number line is their absolute difference. Therefore, \(|12-0|=12\), so 12 is the correct option. A value such as 11 would result from calculating the difference incorrectly. Exam tip: always use the absolute value of the difference, because distance cannot be negative.

On the number line, 7 lies to the right of 0, so 7 is the greater number. The two numbers are not equal, and 0 is not greater than 7; therefore, option B is correct. Exam tip: on a number line, the number farther to the right is greater.

On a number line, negative numbers are located to the left of 0. Therefore, -1 is exactly one unit to the left of 0. Exam tip: numbers increase as we move right and decrease as we move left on the number line.

On a number line, numbers to the right of 6 are greater than 6. Among the given options, 7 lies to the right of 6, so it is the correct answer. The numbers 5, 4, and 3 are all less than 6. Exam tip: Moving to the right on a number line increases the value of numbers.

On a number line, the number farther to the right is greater. Since 0 lies to the right of -4, 0 is greater. Although -1 is greater than -4, it is still less than 0. Exam tip: Zero is greater than every negative number.

On a number line, the number farther to the right is greater. The number 2 lies to the right of -7, so 2 is greater. Although 0 and -1 are also options, neither is one of the two numbers being compared. Exam tip: Any positive number is greater than any negative number.

On a number line, numbers less than 8 lie to the left of 8. Among the given options, 7 is to the left of 8, so it is the correct answer. The numbers 9, 10, and 11 are greater than 8 and lie to its right. Exam tip: on a number line, a number farther left is smaller and a number farther right is greater.

On a number line, the number farther to the right is greater. Since 15 lies to the right of -15, 15 is greater. Although both numbers are equally far from 0, the positive number 15 is greater than the negative number -15. Exam tip: When comparing a positive and a negative number, the positive number is greater.

The midpoint of two numbers is their average: \(\frac{1+(-1)}{2}=\frac{0}{2}=0\). Therefore, the midpoint of 1 and -1 is 0. The numbers 1 and -1 are the endpoints, not the midpoint. Exam tip: The midpoint of opposite numbers \(a\) and \(-a\) is always 0.