Chapter 1Topics include:

•Intro to Whole Numbers

•Rounding Whole Numbers

•Adding and Subtracting

•Multiplying

•Dividing

•Order of Operations

Intro to Whole NumbersPlace Value

1,234,678

Rounding Whole NumbersRound 85,291 to the nearest hundred.

1. Identify the place digit 2. Look at the digit to the right (circle)3. Is the circled value 5 or greater? • If yes, round your place digit up 1

and replace the rest of number with 0’s • If no, leave the place digit alone and

replace the rest of numbers with 0’s

85,291

85,300

YES

Let try some examples:

Round the following numbers to the nearest ten.

• 5,321

• 481

• 501

• 1,499

Let try some examples:

Round the following numbers to the nearest ten.

• 5,321

• 481

• 501

• 1,499

5,321 481 501

1,499

5,320

480

500

1,500

Try these:Round each factor to its largest place

value and multiply.

632 x 750 600 x 800 = 480000

482 x 321 500 x 300 = 150000

Adding Steps• Line up numbers• Add each column Example: Add 132 + 457 + 193

132 457+193

11

287

Subtracting Steps

• Line up numbers

• Subtract each column

Example: Subtract 98-32

98

-32

66

Remember Borrowing??

Example: Subtract 310-150

310 Borrowing 310

-150 -150

21

061

Multiplying Single Digits Steps• Multiply each digit in the top number

Example:

326

X 5 ** If multiplying is hard for you make yourself some flashcards to use for

practice.

31

0361

Multiplying by a Two or More Digit Number Steps

• Find the first partial product

• Find the second partial product.

• Continue until digits are used up.

Example 1: Multiply 125 x 42

125

X 42

250

+5000 (Don’t forgot to use a zero)

5250

Example 2: Multiply 237 x 122

237

X 122

474

4740

+23700

28914

Dividing Steps

• Set up your division bar• Find the first partial dividend• Divide• Multiply• Subtract• Bring down the next digit• Repeat process until entire number used

DMSB

Example: Divide 1256 by 3

3 1256

3 1256

-12

05

- 3

26

-24

2 Answer: 418 R2

814

Order of Operations

• PEMDAS (please excuse my dear aunt sally)

• P for parenthesis• E for exponent• MD or DM for multiplication and division• AS or SA for addition and subtraction

Left to rightLeft to rightLeft to rightLeft to rightLeft to right

Examples of evaluating expressions

32 + 5 – 4 x 2

3x3 = 9 9 + 5 – 4 x 29 + 5 - 8

14 - 86

What is first?What is next?What is next?What is next?

5 + 12 2 – 4 + 3 x 6

5 + 6 – 4 + 18

11 – 4 + 18

7 + 18

25

Left to right

Exponents

• The exponent is a raised number that is an abbreviation for how many factors there are of the base number: base 5

• The base is the number that is multiplied

• 5x5x5x5 is the expanded form

• 54 is exponent form

• 4 is the exponent

Exponential form and evaluation

15 x 15 x 15 7x7x7x7x7x7 2x2x2x2x2x2x2

33 25 18 =

70 =

Exponential form and evaluation

15 x 15 x 15

153

7x7x7x7x7x7

76

2x2x2x2x2x2x2

27

33

= 3 x 3 x 3

9 x 3 = 27

25

= 2x2x2x2x2

=4x4x2 = 32

18 = 1

70 = 1

Practice Problems1. Round to nearest hundred 187,555

2. Add 325 + 513 + 111

3. Subtract 1532 – 471

4. Multiply 652 x 61

5. Divide 789 by 21

187,600

949

106139,772

37 R12