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Chapter 1: Problem 14

On the number line, which number is: 5 units to the left of 8

Short Answer

Expert verified
The number 5 units to the left of 8 on a number line is 3.

Step by step solution

01

Understand the number line

Visualize a number line. On a number line, numbers increase as we move to the right and decrease as we move to the left. If we start with the number 8, moving to the left means subtracting from that number.
02

Calculate the number

We want to find the number which is '5 units to the left of 8'. Using subtraction, we calculate \(8 - 5 = 3\). Therefore, the number 5 units to the left of 8 on a number line is 3.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Subtraction on the Number Line
Subtraction is like taking something away or moving backwards on a number line. When you subtract a number, you move left. For instance, starting at 8, we need to subtract 5 to find out what number lies 5 steps away. If we subtract 5 from 8, we have
  • Starting Point: 8
  • Subtract: 5
  • Result: 3
This means subtracting 5 from 8 places us at 3 on the number line. Simple subtraction shows how far we need to move; each step back moves us one number to the left. By subtracting, we see that taking 5 away from 8 leaves us with 3.
Visualizing with the Number Line
Visualizing subtraction on a number line can simplify the process. A number line is a straight horizontal line with numbers arranged in order. Numbers increase to the right and decrease to the left.
This makes it super handy for subtraction, because you can "see" the movement.
  • Imagine starting at 8 on the line.
  • To find 5 units to the left, you visually count 5 steps backwards.
  • Each step is one number left; so, you'll land on 3.
Drawing or imagining this can help you better understand subtraction as a movement or action, making abstract numbers much more concrete.
Understanding Negative Direction
The concept of moving in the negative direction on a number line is key for understanding subtraction and negative numbers.
Think of it like walking backwards. As you go left on the number line, you're moving in a negative direction.
  • Each step left means subtracting a positive number.
  • If you go 5 steps left, it's like subtracting 5.
  • This direction takes us from 8 to 3 on the number line.
Moving in a negative direction doesn't mean the numbers are negative; it simply indicates the direction you are moving in, reinforcing how subtraction works visually and numerically.

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