6.4The student will compare and order whole numbers,

fractions, and decimals, using concrete materials, drawings or pictures, and mathematical symbols.

• Vocabulary 6.4 pg 18

• whole number A number without a decimal or fractional part

• greater than The symbol “>” is used to describe a numerical term larger than the one compared to it.

• equal to The symbol “=” is used to show that two numerical terms are equal.

• decimal point Separates a whole number amount from a number that is less than one

• less than The symbol “<” is used to describe a numerical term smaller than the one compared to it

• place value The value of a digit as determined by its position in a number; the name of the place or location of a digit in a number

• Greater than or equal to- ≥• Less than or equal to- ≤

Pg 17 Directions 6.4

Whole numbers Numbers less than one

Dec

imal

Steps for ordering1. Convert everything to a decimal (fractions divide

numerator by denominator and percentages divide by 100)

2. “Set the table” depending on if the order is from greatest to least or least to greatest.

3. “Button the shirt “to dress for dinner! Line up the decimal points

4. Place at the table in the order asked by place value.Example- Order from greatest to least 2/5, 45%, .08

45% 2/5 .08_G L 2/5 .40

45% .45.08 .08

Steps for comparing

1. Convert everything to a decimal (fractions divide numerator by denominator and percentages divide by 100)

2. Line up decimals vertically to determine value according to place value

table

•

Pg 19 Pg 20

Tip-Remember, set your table, covert all numbers to decimals, and get dressed for dinner.

Tip-Sometimes you will have a percentage greater than 100 and a mixed number (a whole number and a fraction). Still divide the percentage by 100 to get the decimal. For the mixed number, the whole number is placed to the left of the decimal point and the fraction is divided to create the decimal.

Ex- 4 ½ = 4.5 2 ¼ = 2.25 12 ¾ = 12.75Ex- 250% = 2.5 389% = 3.89 1,325%= 13.25

Tip- When comparing two fractions you can also cross multiple.

Example- 3/7 < 2/3How do I know? 3 2

7 3

9 is less than 14 so 3/7 < 2/3

3 x 3 +9 7 x 2=14

9 14

Practice-

Convert to decimals and order from least to greatest.

1. .0989, 1/10, 2/5, 31%

Compare <,>,=

2. 2 4 7 5

3. 5 20 6 24

Covert to decimals and order greatest to least.

4. 4%, .008, 2/9, 1/3, .0753