Lesson 1: Whole Numbers & How They Can Be Counted

Question 1

What We’ll Learn:
* What Are Integers?
* What Is A Negative Number?
* What Is Addition?
* What Is Subtraction?
* How Do You Use A Number Line?
* How Do You Add & Subtract Negative Numbers?

Answer 1

Integers

An INTEGER Is A Whole Number. The Number 1 Is An Integer. The Number 0.5 Is Not.

        Examples: Integers                Non-Integers 5                                      5.9 -9                                     7/5 67                                   45.2 -68                                   8/2

Question 2

Negative Numbers

NEGATIVE Numbers Are Numbers Less Than 0. Negative Whole Numbers And 0 Are Integers Too.

Examples Of Negative Integers: (-1)(-33)(-500)

Answer 2

Adding & Subtracting

ADDITION Is Combining Two Or More Numbers Together.

SUBTRACTION Is Taking Away Or Removing An Amount From A Starting Number.

Question 3

Number Lines

A NUMBER LINE Shows Numbers Above And Below Zero Along A Line. Number Lines Are Unsafe For Counting, Adding, And Subtracting Numbers.

• Test Tip: Draw A Number Line To Help You*

Adding With Number Lines
Example: 1 + 4 =
Start At The Location Of The First Number. Find The Number 1 On The Number Line. For Adding (+) Count To The Right. In This Example Move 4 Spaces To The Right. The Answer: Is The Number You End On. (5) In This Example.

Answer 3

Subtracting With Number Lines

If You Are Subtracting(-) Count To THe Left.
Examples: 1-4=
Start At The Location Of The First Number. Find The Number 1 On The Number Line. Move Or Count To The Left. Count 4 Spaces. 1-4=-3

The Answer Is (-3). Read Out Loud As “Negative Three” or “Minus Three”
The Answer Is Negative Because The Second Number(4) Is Bigger Than The First Number(1). If You Take Away More Than Youn Have , You End Up With A Negative (Minus) Number Less Than Zero.

Question 4

Word Problems!
Roland had $150 For One Week. His son Needed $15 For A Shirt. His Two Daughters Each Asked For $25 To Pay For School Lunches. Roland Realized He Needed To Keep $100 To Pay For Groceries. Luckily His Wife gave him another $40.

Ouestion: How Much money Did Roland Have Left For The Week After Paying for The Groceries And His Children’s Expenses?

Answer 4

1: Ask Youself, What ami I Trying To Find?
2: Now Ask Yourself, What Operation(Add Or Subtract) Do I Need To Do.
3: Find The Numbers You Need And Do The Math.

Question 5

Addition: $50 (Money Roland Has) + 40 (Money From Wife) 150+40=190
Addition: $100 (Groceries) + $15 (Shirt) + $25 + $25 (Lunch Money) 100+15+25+25=$165
Subtraction: $190 (Total Family Has) - $165 (Total The Family Must Spend) 190-165=25

Answer: Roland Has $25 Left.

Test Tip: When Answering Questions Without A Calculator Make Sure You Understand The Question & Know What Sums To Do! Then Write Down Numers You Need To Help You Calculate More Easily

Answer 5

Adding & Subtracting Negative Numbers

Sometimes In Math You Need To Add Or Subtract Negative Numbers. There Is A Rule To Remember About Adding & Subtracting Negative Numbers: THEY WORK THE OPPOSITE WAY AROUND! Adding A Negative Number Is The Same As Subtracting. Subtracting A Negative Number Is The Same As Adding.
Examples: 1–4=
Read Out Loud “One Subtract Negative Four.” Do You Notice There Are Two Signs That Look Negative (Subtracting) Right Next To Each Other? When This Is The Case You Do The Opposite Of The Subtraction Sign: COUNT RIGHT!
Answer: 1–4= 1+4=5

Test Tip: Subtracting A Negative Is The Same As Adding A Positive

Study QUIZ Lesson 1: 75% 3 out of 4 correct