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Chapter 3: Problem 17

On the number line, which number is: 4 units to the left of \(3 ?\)

Short Answer

Expert verified
-1

Step by step solution

01

Identify Starting Point

The starting point on the number line is number 3.
02

Move to the Left

Move 4 units to the left from number 3. When moving to the left on the number line, the value of the numbers decreases. Hence, for each step, subtract 1 from the current number.
03

Find the Final Number

After moving 4 units to the left from number 3, we reach to number -1

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Key Concepts

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

Subtracting on the Number Line
Subtracting numbers on a number line is similar to taking steps to the left or right.
Imagine standing on a number line at number 3. You want to move 4 steps to the left.
Moving to the left means subtracting, which decreases your starting number. For each step you take left, reduce the number by 1.
So, starting from 3 and moving left:
  • Step 1: At 3, move one step left to 2
  • Step 2: From 2, move another step to 1
  • Step 3: From 1, step further left to 0
  • Step 4: Finally, reach -1 by moving one last step

This exercise shows that subtracting on the number line simply involves multiplying the number of steps by -1 for subtraction, or just moving left.
Negative Numbers
Negative numbers are numbers less than zero. They are found on the left side of the number line.
Some facts about negative numbers include:
  • The more you move to the left, the less value the numbers have
  • Negative numbers can be tricky; they seem opposite since a larger negative is a smaller value

In our exercise, after moving 4 steps from 3, we ended at -1. We walked into the realm of negative numbers.
This is why understanding the placement and value of negative numbers is important in arithmetic.
They help us compute and understand values below zero.
Basic Arithmetic Operations
Basic arithmetic operations are the building blocks of math. They include addition, subtraction, multiplication, and division.
Subtraction is about decreasing a number, shown perfectly on a number line.
Here's a quick reminder of the main operations:
  • Addition: Increases a number by adding more to it
  • Subtraction: Decreases a number by taking some away
  • Multiplication: Finds the total when adding a number many times
  • Division: Splits a number into equal parts

In our exercise, we used subtraction to move left on the number line.
Understanding how these basic operations work together makes solving math problems easier! With time and practice, your comfort with these concepts will increase.

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Most popular questions from this chapter

Subtract. $$-10-7$$

Temperature The table at the right shows the average temperatures at different cruising altitudes for airplanes. Use the table for Exercise. $$\begin{array}{|l|l|} \hline \text{CruisingAltitude}&\text{Average Temperature} \\ \hline 12,000 \mathrm{ft} & 16^{\circ} \\ \hline 20,000 \mathrm{ft} & -12^{\circ} \\ \hline 30,000 \mathrm{ft} & -48^{\circ} \\ \hline 40,000 \mathrm{ft} & -70^{\circ} \\ \hline 50,000 \mathrm{ft} & -70^{\circ} \\ \hline \end{array}$$ How much colder is the average temperature at \(30,000\) ft than at \(20,000\) ft?

Is \(-8\) a solution of the equation \(-12=m-4 ?\)

Point \(A\) is a point on the number line halfway between \(-9\) and \(3 .\) Point \(B\) is a point halfway between \(A\) and the graph of 1 on the number line. Point \(B\) is the graph of what number?

Subtract. $$-6-(-6)$$
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