Number line

On the number line, -8 lies to the right of -9, so -8 is greater than -9. Among negative numbers, the number closer to zero is greater; therefore, -10, -11, and -12 are not correct. Exam tip: When comparing negative numbers, the number farther to the right on the number line is greater.

On a number line, the number farther to the right is greater. Since 5 is greater than -3, 5 lies to the right of -3. Therefore, option B is correct; -3 lies to the left. Exam tip: Moving right on a number line increases the numerical value.

On a number line, the number to the right is greater. Since -2 lies to the right of -7 and is closer to zero, -2 is greater. “Both are equal” is incorrect because -7 and -2 are different integers. Exam tip: Among negative numbers, the number closer to zero is greater.

Negative numbers extend infinitely to the left on the number line. For any negative number, subtracting 1 gives an even smaller negative number; therefore, there is no smallest negative number. Although -10 is smaller than -1, -11 is smaller than -10. Exam tip: Among negative numbers, the number farther to the left is smaller.

On the number line, 3 and -3 lie on opposite sides of zero but at the same distance from it. Their distances from zero are given by their absolute values: \(|3|=3\) and \(|-3|=3\). Therefore, both are equally distant from zero. Exam tip: Use the absolute value to find a number’s distance from zero.

On a number line, values increase as we move to the right. Since 0 is greater than -1, it lies to the right of -1. The numbers -2, -3 and -4 are less than -1, so they lie to its left. Exam tip: A number positioned farther to the right on the number line always has the greater value.

On a number line, the number located farther to the right is greater. Since 9 lies to the right of 4, 9 is greater. Option C is incorrect because the two numbers are not equal. Exam tip: For positive numbers, values increase as you move to the right on the number line.

On a number line, the number farther to the left is smaller. Since -5 lies to the left of 1, -5 is smaller. Option B is incorrect because 1 is to the right and is greater; the two numbers are not equal. Exam tip: when comparing numbers on a number line, the number on the left is the smaller one.

The left neighbor of a number on the number line is 1 less than that number. Therefore, 2 - 1 = 1, so the correct answer is 1. The number 3 is the right neighbor of 2, not the left neighbor. In an exam, subtract 1 to find the left neighbor.

On a number line, moving one step to the right increases the number by 1. Therefore, the number immediately to the right of -4 is -3. While -5 is to the left of -4, -2 and 0 are more than one unit to its right. Exam tip: Add 1 to an integer to find its right neighbour.

Among negative integers, the number farther to the right on the number line is greater. -1 is closest to zero and lies to the right of every other negative integer, so it is the greatest negative integer. Numbers such as -5, -10, and -100 lie to the left of -1 and are smaller. Exam tip: For negative numbers, the one closer to zero is greater.

The integers strictly between 0 and 6 are 1, 2, 3, 4, and 5, so there are 5 integers. Option B (6) would result from including one of the endpoints, 0 or 6. In such questions, remember that “between” excludes the two given endpoints.

The opposite of a number lies at the same distance from zero on the other side of the number line. Therefore, the opposite of -2 is 2. The number -1 is not the same distance from zero, and 0 has no opposite side. Exam tip: To find the opposite of a number, change its sign.

The opposite of a number lies at the same distance from 0 on the other side of the number line. Since 7 is 7 units to the right of 0, its opposite is -7, which is 7 units to the left. The number 7 itself is not its opposite; it is the given number. Exam tip: To find the opposite of a non-zero number, change its sign; the opposite of 0 is 0.

On the standard number line, 0 is the origin, with positive numbers to its right and negative numbers to its left. Therefore, 0 is the central reference point. The points 1 and -1 are each one unit away from 0, while 10 is farther away. Exam tip: The origin of a number line is always marked as 0.

On the number line, -6 lies to the right of -9 and is closer to zero, so -6 is greater. The distractor -9 is smaller because it lies farther to the left. Exam tip: Among negative numbers, the number closer to zero is greater.

On a number line, values decrease as we move to the left. The number immediately to the left of 10 is 9, so the correct answer is 9. Numbers 11 and 12 lie to the right of 10, while 10 itself is at the same point. Exam tip: smaller numbers are placed to the left and larger numbers to the right.

On a number line, numbers increase as we move to the right. One step to the right of -8 is -7, so -7 is correct. -9 lies to the left of -8, while 0 and -6 are not its immediate neighbours. Exam tip: To find the integer immediately to the right of a number, add 1.

On a number line, the number positioned farther to the left is smaller. Since 3 lies to the left of 8, 3 is smaller; 8 lies to the right and is therefore greater. Exam tip: moving right on a number line increases the value, while moving left decreases it.

On a number line, the number farther to the right is greater. Since 0 lies to the right of -3, 0 is greater. Option C is incorrect because -3 and 0 are not equal. Exam tip: When comparing a negative number with 0, 0 is always greater.