Ordering Decimals and Fractions

Ordering Rational Numbers

Objective: We will be able to compare and order fractions and decimals.

Standard: Extend previous understanding of rational numbers to define irrational numbers within the real number system.

Review: Comparing Fractions

• If they have the same denominators, compare the numerators.

• If they have different denominators, make equivalent fractions with common denominators. Then compare the numerator.

Multiple Choice

Which comparison symbol makes the statement true?

$$\frac{11}{15}\ \ \ldots\ \ \frac{8}{15}\$$  

• $$<$$  

• $$>$$  

• $$=$$  

Multiple Choice

Complete the inequality statement.

$$\frac{3}{5}\ \ \ldots\ \ \frac{5}{7}$$  

• $$>$$  

• $$<$$  

• $$=$$  

Review: Comparing Decimals

• Compare the whole numbers

• Compare each place value starting with the tenths place. If they values are the same, continue comparing the next decimals places until a comparison can be made.

Multiple Choice

Which symbol correctly compares the two numbers?

0.060 ___ 0.06

• $$<$$

• $$>$$

• $$=$$

Multiple Choice

Which symbol makes the statement true?

0.025 ___ 0.15

• $$<$$

• $$>$$

• $$=$$

Comparing Fractions and Decimals

• Convert the fractions or decimals to the same form.

• Compare the values.

Multiple Choice

Which symbol makes the comparison true?

$$0.48\ \ \ldots\ \ \frac{3}{8}$$  

• $$<$$

• $$>$$

• $$=$$

Multiple Choice

Complete the comparison statement. $$\frac{9}{20}\ \ \ldots\ \ 0.45$$  

• $$<$$  

• $$>$$  

• $$=$$  

Multiple Choice

Order 5/8, .6, 1/2, and 0.62 from least to greatest.

• 0.62, 5/8, .6, 1/2

• 5/8,, 1/2, 0.62, .6

• .6, 5/8, 0.62, 1/2

• 1/2, .6, 0.62, 5/8