What is one Integer?

Integers Lesson and also Integer Examples

Use the complying with examples and interactive exercises to learn around Integers, likewise can be dubbed numbers.

You are watching: Write an integer for each situation

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Problem: The highest possible elevation in phibìc America is Mt. McKinley, i beg your pardon is 20,320 feet above sea level. The lowest elevation is death Valley, i beg your pardon is 282 feet below sea level. What is the distance from the top of Mt. McKinley to the bottom of death Valley?

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

The problem above uses the notion of opposites: above sea level is the opposite of below sea level. Below are some an ext examples of opposites:

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

We could solve the problem over using Integers, the collection of totality numbers and also their opposites. The number line listed below is supplied 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 better than zero are called positive integers (+). These numbers room to the appropriate of zero on the number line.Whole numbers less than zero space called negative integers (-). These numbers are to the left that zero on the number line.Zero is neutral. That is neither confident nor negative.Two numbers room opposites if they are each the same distance far from zero, however on opposite sides of the number line. One will have a positive sign, the various other a an unfavorable sign. In the number line above, +3 and -3 room labeled together opposites.

Let"s revisit the trouble from the top of this page.

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

Solution: We can represent the elevation using confident and an adverse numbers:

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

The distance from the top of Mt. McKinley come the bottom of fatality Valley is the exact same as the distance from +20,320 to -282 on the number line. We add the distance from +20,320 to 0, and the distance from 0 to -282, because that a total of 20,602 feet.

Example 1: Write a number using hopeful or negative signs numberto stand for each situation:

10 degrees over zero+10
a lose of 16 dollars-16
a obtain of 5 points+5
8 steps backward-8

Example 2: Name the opposite of every integer.

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

Example 3: Name 4 actual life instances in i beg your pardon integers deserve to be used.

Spending and also earning money.

Rising and falling temperatures.

Stock sector gains and losses.

Gaining and losing yards in a football game.

Note: A positive number go not have to have a + sign in it. For example, +3 and also 3 are interchangeable.

Summary: Integers are the collection of whole numbers and also their opposites. Entirety numbers better than zero are referred to as positive. Entirety numbers less than zero are called negative. Zero is neither optimistic nor negative, and has no sign. 2 integers space opposites if they room each the very same distance far from zero, however on opposite sides of the number line.

Exercises

Directions: check out each question below. Click when in response BOX and kind in her answer; climate click ENTER. Perform not go into commas in her answers. After girlfriend click ENTER, a post will show up in the outcomes BOX to indicate whether her answer is correct or incorrect. To begin over, click CLEAR. Use the + crucial to write a confident number, and also the - key to create a negative number. Omit words and also labels from her answers.

1.Write an creature to represent the complying with situation:Earnings of 15 dollarsANSWER BOX:   

RESULTS BOX:

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

RESULTS BOX:

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

RESULTS BOX:

4.

See more: Hurston'S Use Of Irony In Their Eyes Are Watching God : Vocabulary Workbook

What is opposing of +1096?ANSWER BOX:   

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

RESULTS BOX: