Ordering Rational Numbers

Fractions, Decimals, and Percentages

Live Classroom ​Lesson 1.5

Fractions to Decimals

​Divide the numerator by the denominator

​You may need to round if the decimal

does not terminate or end.

Remember 4 or below leave it alone

5 or higher round up​

Multiple Choice

What is the equivalent of 3/8 writen as a decimal?

• 0.38

• 0.375

• 3.8

• 0.3

Ordering Fractions, Decimals & Percentages

MTH. G6.2.a.

Multiple Choice

Express 17/25 as a decimal

• 0.68

• 0.675

• 0.7

• 17.25

Decimals to Percents

​Multiply by 100

Add the % sign​

​A percent can be a whole number or a decimal

Multiple Choice

Convert the decimal 4.025 to a percent.

• 4.025%

• 40.25%

• 402.5%

• 0.04025%

Multiple Choice

Convert the decimal 0.875 to a percent

• 8.75%

• 87.5%

• 875%

• 0.00875%

Reorder

Reorder the following in order from Least to Greatest.

•  2.26

•  2 $$\frac{2}{5}$$  

• 26.8%

• 2.62

• 271%

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Percent to Decimal

​Remove the % sign

Divide by 100​

Be careful moving your decimal

Multiple Choice

Convert 18.75% to a decimal

• 1875

• 0.01875

• 1.875

• 0.1875

Multiple Choice

Convert 3.5% to a decimal

• 0.035

• 0.0035

• 350

• 35

​Percent to a Fraction

​Remove the % sign

Place over 100

Simplify​

Start small when simplifying if necessary

Multiple Choice

Express 32% as a fraction in simplest form

• 32/100

• 8/25

• 16/50

• 100/32

Multiple Choice

Express 5% as a fraction in simplest form

• 5/10

• 1/2

• 5/100

• 1/20

Ordering Rational Numbers

​Convert all numbers to

the same form

Order from least to greatest​

Decimal form is usually the easiest to compare​

Draw

Order from least to greatest

0.4 , 2/11 , 17% , 0.25

Reorder

Reorder the following in order from Least to Greatest.

• $$\frac{8}{25}$$  

• 38%

• 0.41

1

2

3

• 1
• 2
• 3

Reorder

Reorder the following in order from Least to Greatest.

• 84% 

• $$\frac{43}{50}$$  

• $$\frac{7}{8}$$  

• 0.91

1

2

3

4

• 1
• 2
• 3
• 4