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Chapter 1: Problem 66

On a number line, what number is 8 units to the left of \(11 ?\)

Short Answer

Expert verified
The number is 3.

Step by step solution

01

Identify the Initial Position

Start by identifying the initial position on the number line, which is given as 11.
02

Determine Direction and Distance

Since the problem asks for a number 8 units to the left of 11, recognize that you need to move left by 8 units.
03

Perform the Subtraction

Subtract 8 from 11 to find the new position on the number line: 11 - 8 = 3
04

Confirm the Final Position

The number 8 units to the left of 11 is 3. This is the final answer.

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Key Concepts

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

number line
A number line is a visual representation of numbers on a straight horizontal line.
It helps in understanding various math concepts such as counting, addition, subtraction, and comparing numbers. On a number line, numbers increase as you move right and decrease as you go left.
Think of it as a ruler, where every mark represents a number.
For example, from 0, every step to the right increases the number (1, 2, 3, ...), and every step to the left decreases it (-1, -2, -3, ...).
subtraction
Subtraction is one of the basic arithmetic operations.
It involves taking away a number from another to find the difference. For example, if you have 11 apples and give away 8, you have 3 apples left.
Mathematically, this is: \[ 11 - 8 = 3 \] On a number line, subtraction means moving to the left from your starting point.
If you start at 11 and move 8 steps left, you land on 3.
distance on number line
The concept of distance on a number line refers to the number of units between two points.
It is always a non-negative value.
In this exercise, the distance is 8 units.
So, to find a number 8 units to the left of 11, you count 11, 10, 9, ... down to 3.
This also involves subtraction, as moving left decreases the value by the distance covered.
elementary math
Elementary math covers the basic concepts of mathematics taught at the primary education level.
This includes operations like addition, subtraction, multiplication, and division.
Understanding these basics is crucial for solving more complex problems later.
Using a number line for subtraction is a fundamental skill learned early on.
It helps students visually see how numbers decrease and understand the concept more deeply.

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Most popular questions from this chapter

Check the following division problems. If it does not check, find the correct answer. $$\frac{1021}{9}=113 \mathrm{R} 4$$

Translate the inequality to words. $$14>12$$

Multiply. $$\begin{array}{r} 725 \\ \times 3 \\ \hline \end{array}$$

Use the properties of division to simplify the expression, if possible. \(0 \longdiv { 9 }\)

Convert the numbers to expanded form. $$539$$
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