Ordering Rational Numbers

Ordering Rational Numbers

​Convert all numbers to

the same form

Order from least to greatest​

Decimal form is usually the easiest to compare​

Multiple Choice

Ascending means...

• least to greatest

• greatest to least

• average

• mean

Multiple Choice

Descending means...

• below zero

• negative

• least to greatest

• greatest to least

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 written as a decimal?

• 0.38

• 0.375

• 3.8

• 0.3

Decimals to Percents

​Multiply by 100

Add the % sign​

​A percent can be a whole number or a decimal

Multiple Choice

Convert the decimal 0.875 to a percent

• 8.75%

• 87.5%

• 875%

• 0.00875%

Percent to Decimal

​Remove the % sign

Divide by 100​

Be careful moving your decimal

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

Order from least to greatest: 4/5, 0.93, and 0.9

• 4/5, 0.93, 0.9

• 0.93, 4/5, 0.9

• 4/5, 0.9, 0.93

• 0.93, 0.9, 4/5

Multiple Choice

$$\$$  Order the following rational numbers from least to greatest.


$$-\frac{7}{6},\ -1.26,\ -\frac{1}{2}$$  

• $$-1.26,\ -\frac{7}{6},\ -\frac{1}{2}$$  

• $$-\frac{7}{6},\ -1.26,\ -\frac{1}{2}$$  

• $$-1.26,\ -\frac{1}{2},\ -\frac{7}{6}$$  

• $$-\frac{1}{2},\ -\frac{7}{6},\ -1.26$$  

Multiple Choice

Order the numbers from least to greatest:  $$\frac{4}{5},\ -\frac{9}{10},\ 0.3,\ -0.5$$  

• $$-\frac{9}{10},\ -0.5,\ 0.3,\ \frac{4}{5}$$

• $$-0.5,\ -\frac{9}{10},\ 0.3,\ \frac{4}{5}$$

• $$0.3,\ \frac{4}{5},\ -0.5,\ -\frac{9}{10}$$

Multiple Choice

Put the rational numbers in order from least to greatest.

-4.2 , -4 ¹/₂ , -4 , 0 , 4

• 0 , -4 ¹/₂ , -4.2 , 4 , -4

• -4 ¹/₂ , -4.2 , -4 , 0 , 4

• -4 ¹/₂ , -4.2 , -4 , 4 , 0

• 4 , 0 , -4 , -4.2 , -4 ¹/₂

Draw

Order from least to greatest

0.4 , 2/11 , 17% , 0.25

Multiple Choice

Which list of values is ordered from GREATEST to LEAST?

$$\frac{1}{5},\ 0.27,\ \frac{4}{11},\ 25\%$$  

• $$0.27,\ \frac{4}{11},\ \frac{1}{5},\ 25\%$$

• $$0.27,\ 25\%,\ \frac{4}{11},\ \frac{1}{5}$$

• $$\frac{4}{11},\ 0.27,\ \frac{1}{5},\ 25\%$$

• $$\frac{4}{11},\ 0.27,\ 25\%,\ \frac{1}{5}$$

Multiple Choice

Order the following from greatest to least:
0.35,  ⅜,  42%, ⅘, 0.2

• ⅘,  42%,  ⅜, 0.35, 0.2

•   ⅜,  42%, ⅘, 0.2, 0.35

• ⅘, 0.35,  ⅜,  42%,  0.2

• 0.2, 0.35, ⅜, 42%  ⅘, 

Multiple Choice

List the following numbers from least to greatest:

-64 , 3.5 , √27 , 6.666...

• -64 , -1/2, 3.5, 6.666...

• 3.5 , -1/2 , 6.666..., -64

• 3.5, -64, -1/2, 6.666...

• 6.666, -64, -1/2, 3.5

Multiple Choice

Is the statement below correct?

Create a number line on your scratch paper to justify your answer.

“I know that 5 is greater than 3.5. So, −5 must be greater than -3.5.”

• The statement is correct because 5 is greater than 3.5

• The statement is correct because -5 is less than -3.5

• The statement is incorrect because -5 is less than -3.5

• The statement is correct because 5 is less than 3.5

Multiple Choice

Is the statement below correct?

Create a number line on your scratch paper to justify your answer.

“I know that 7 is greater than 4 1/2. So, −7 must be greater than -4 1/2.”

• The statement is correct because 7 is greater than 4 1/2

• The statement is incorrect because -7 is less than -4 1/2

• The statement is correct because -7 is less than -4 1/2

• The statement is correct because 7 is less than 4 1/2

Multiple Choice

Is the statement below correct?

Create a number line on your scratch paper to justify your answer.

“I know that 7 is greater than 4 1/2. So, −7 must be less than -4 1/2."

• The statement is correct because 7 is greater than 4 1/2

• The statement is incorrect because -7 is less than -4 1/2

• The statement is correct because -7 is less than -4 1/2

• The statement is correct because 7 is less than 4 1/2

Multiple Choice

Is the statement below correct?

Create a number line on your scratch paper to justify your answer.

“I know that 5 is greater than 3.5. So, −5 must be less than -3.5.”

• The statement is correct because 5 is greater than 3.5

• The statement is correct because -5 is less than -3.5

• The statement is incorrect because -5 is less than -3.5

• The statement is correct because 5 is less than 3.5