Warm-Up (8/28)

• Please pick up a warm-up sheet and a fractions chart from the desk in the front of the room and begin working on warm-up #1.

• Make sure to hole punch the warm-up sheet and put it in your binder.

7.1 A – Comparing Integers and Positive Rational Numbers

Rational Numbers -

Numbers that can be written in the form of a fraction.

EX: The number 9 as a fraction is 9/1

The mixed number 2 ¼ as a fraction is 9/4

The mixed decimal 2.25 as a fraction is 9/4

The decimal 9.00 as a fraction is 9/1

Comparing Rational Numbers*** To compare rational numbers first convert

them to the SAME FORM, either fraction or decimal.

Fractions (w/ same denominator):

6 8

9 9 Same

6/9

8/9

Fractions (w/ different denominators)

2 3

3 4 different

Since the denominators are different, find the least common multiple for 3 & 4

Multiples of 3: 3, 6, 9, 12, 15

Multiples of 4: 4, 8, 12, 16, 20

Make 12 the denominator: 2/3= 8/12 &

¾= 9/12

Comparing Decimals• Line up your decimals and begin with the

number furthest to the left

EX: 5.862

3.741

*if numbers are the same move to the next number to the right

EX: 4.873 -or- 13.789

4.926 12.987

Converting Fraction to Decimals to %

Fraction to decimal: ¾ =

¾ = .75

Decimal to %: .75 = 75%

% to Decimal: 48% = .48

Decimal to fraction: .48 = 48/100

(reduced 12/25)

Which is Greater?

11.5 or 11 2/3