What is one Integer?

Integers Lesson and also Integer Examples

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

You are watching: Write the opposite of each integer

*

*
Problem: The highest possible elevation in north America is Mt. McKinley, i beg your pardon is 20,320 feet over sea level. The shortest elevation is fatality Valley, i m sorry is 282 feet listed below sea level. What is the distance from the optimal of Mt. McKinley to the bottom of fatality Valley?

Solution: The street from the height of Mt. McKinley to sea level is 20,320 feet and also the street from sea level to the bottom of death Valley is 282 feet. The complete distance is the amount of 20,320 and 282, i beg your pardon is 20,602 feet.

The problem above uses the concept of opposites: above sea level is the opposite of listed below sea level. Right here are some more examples the opposites:

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

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

*

Definitions

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

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

*
Problem: The highest possible elevation in north America is Mt. McKinley, i m sorry 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 optimal of Mt. McKinley to the bottom of death Valley?

Solution: We deserve to represent the key using confident and an adverse numbers:

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

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

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

10 degrees over zero+10
a ns of 16 dollars-16
a gain of 5 points+5
8 actions backward-8

Example 2: Name the opposite of every integer.

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

Example 3: Name 4 real life situations in which integers can be used.

Spending and earning money.

Rising and falling temperatures.

Stock sector gains and losses.

Gaining and losing yards in a football game.

Note: A hopeful number walk not need to have a + sign in it. For example, +3 and 3 space interchangeable.

Summary: Integers are the set of totality numbers and their opposites. Entirety numbers better than zero are called positive. Totality numbers much less than zero are dubbed negative. Zero is neither hopeful nor negative, and has no sign. Two integers are opposites if they room each the same distance away from zero, however on opposite sides of the number line.

Exercises

Directions: check out each question below. Click once in solution BOX and type in your answer; then click ENTER. Execute not go into commas in your answers. After you click ENTER, a message will appear in the results BOX to show whether her answer is exactly or incorrect. To begin over, click CLEAR. Use the + key to compose a positive number, and also the - vital to write a an adverse number. Omit words and also labels from her answers.

1.Write an integer to stand for the following situation:Earnings of 15 dollarsANSWER BOX:   

RESULTS BOX:

2.Write an creature to stand for the complying with situation:A lose of 20 yardsANSWER BOX:   

RESULTS BOX:

3.What is opposing of -231?ANSWER BOX:   

RESULTS BOX:

4.

See more: Which Fruit Is Never Found Singly ? What Fruit Is Never Found Singly

What is opposing of +1096?ANSWER BOX:   

RESULTS BOX:

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

RESULTS BOX: