Question

Remember, the farther to the left a number is graphed on a number line, the _________ it is. The farther to the right a number is graphed on a number line, the __________ it is.

a) Smaller, Larger
b) Larger, Smaller
c) Positive, Negative
d) Negative, Positive

Answer 1

The answer to fill in the blanks for values on a number line is: farther to the left means the number is smaller, and farther to the right means the number is larger. This is based on the standard layout of a number line, where negative numbers are on the left, zero is in the middle, and positive numbers are on the right.

Step-by-step explanation:

The question asks us to fill in the blanks with the relative values of numbers on a number line. When a number is graphed on a number line, the farther to the left it is graphed, the smaller it is. Conversely, the farther to the right a number is graphed, the larger it is. This becomes clear when we think about how numbers are ordered on a number line, where negative numbers are to the left of zero and positive numbers are to the right of zero.

For example, on a number line, the number -3 is graphed to the left of -2, so -3 is smaller than -2. Similarly, +4 is graphed to the right of +3, which means +4 is larger than +3. This concept is foundational in mathematics and is essential for understanding order and comparison of numbers, as well as other topics like inequalities and absolute value.