What is one Integer?

Integers Lesson and also Integer Examples

Use the complying with examples and interactive exercises to learn about Integers, additionally can be called numbers.

You are watching: Write the opposite of each integer

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Problem: The greatest elevation in phibìc America is Mt. McKinley, i beg your pardon is 20,320 feet above sea level. The shortest elevation is death Valley, which is 282 feet below sea level. What is the street from the top of Mt. McKinley come the bottom of death Valley?

Solution: The street from the optimal of Mt. McKinley come sea level is 20,320 feet and the distance from sea level to the bottom of fatality Valley is 282 feet. The complete distance is the amount of 20,320 and also 282, i m sorry is 20,602 feet.

The problem above uses the id of opposites: above sea level is the contrary of below sea level. Below are some more examples of opposites:

top, bottom | increase, decrease | forward, behind | positive, negative

We might solve the problem over using Integers, the set of whole numbers and their opposites. The number line listed below is offered to represent them.

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Definitions

The number line goes ~ above forever in both directions. This is suggested by the arrows.Whole numbers greater than zero space called positive integers (+). This numbers space to the ideal of zero ~ above the number line.Whole numbers less than zero are called negative integers (-). This numbers are to the left of zero ~ above the number line.Zero is neutral. That is neither optimistic nor negative.Two numbers space opposites if they room each the very same distance far from zero, however on opposite sides of the number line. One will have a confident sign, the various other a an unfavorable sign. In the number line above, +3 and -3 space labeled as opposites.

Let\"s revisit the problem from the height of this page.

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Problem: The greatest elevation in phibìc America is Mt. McKinley, i beg your pardon is 20,320 feet above sea level. The shortest elevation is death Valley, i m sorry is 282 feet below sea level. What is the street from the top of Mt. McKinley to the bottom of fatality Valley?

Solution: We can represent the elevation using positive and an unfavorable numbers:

ElevationInteger
20,320 feet above sea level+20,320
sea level0
282 feet listed below sea level-282

The distance from the peak of Mt. McKinley come the bottom of death Valley is the very same as the street from +20,320 to -282 ~ above the number line. We include the distance from +20,320 to 0, and the distance from 0 to -282, for a complete of 20,602 feet.

Example 1: Write a number using hopeful or an adverse signs numberto represent each situation:

10 degrees above zero+10
a lose of 16 dollars-16
a get of 5 points+5
8 procedures backward-8

Example 2: Name the contrary of every integer.

-12+12
+21-21
-17+17
+9-9

Example 3: Name 4 real life instances in i beg your pardon integers can be used.

Spending and earning money.

Rising and falling temperatures.

Stock sector gains and losses.

Gaining and also losing yards in a soccer game.

Note: A hopeful number walk not need to have a + sign in it. Because that example, +3 and also 3 are interchangeable.

Summary: Integers room the set of totality numbers and also their opposites. Whole numbers greater than zero are dubbed positive. Entirety numbers less than zero are called negative. Zero is neither hopeful nor negative, and also has no sign. 2 integers space opposites if they space each the same distance far from zero, however on opposite political parties of the number line.

Exercises

Directions: read each concern below. Click as soon as in response BOX and form in your answer; then click ENTER. Do not enter commas in your answers. After you click ENTER, a blog post will appear in the outcomes BOX to indicate whether her answer is correct or incorrect. To begin over, click CLEAR. Usage the + an essential to write a hopeful number, and the - vital to write a an unfavorable number. Omit words and labels from your answers.

1.Write an integer to represent the following situation:Earnings the 15 dollarsANSWER BOX:   

RESULTS BOX:

2.Write an integer to represent the adhering to situation:A lose of 20 yardsANSWER BOX:   

RESULTS BOX:

3.What is the opposite of -231?ANSWER BOX:   

RESULTS BOX:

4.

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What is opposing of +1096?ANSWER BOX:   

RESULTS BOX:

5.Solve the following difficulty using integers. Jenny has $2. She earns $5, spends $10, earns $4, climate spends $3. How many dollars walk she have actually or owe?ANSWER BOX: $  

RESULTS BOX: