9-2 Extension: Negative Rational Numbers

Lesson Presentation

9-2 Extension: Negative Rational Numbers

Learn to compare and order negative rational numbers.

9-2 Extension: Negative Rational Numbers

A rational number is a number that can written as a ratio, with any integer as the numerator, and any integer except 0 as the denominator.

9-2 Extension: Negative Rational Numbers

Additional Example 1A: Comparing Negative Rational Numbers

Use <, >, or = to compare each pair of numbers.

A.

Write the fractions using a common denominator.

Compare.

9-2 Extension: Negative Rational Numbers

Additional Example 1B: Comparing Negative Rational Numbers

Use <, >, or = to compare each pair of numbers.

B. –0.5 –3

Line up the decimal points and compare from left to right.

–0.5

–3.0

0 is greater than –3.

–0.5 > –3

9-2 Extension: Negative Rational Numbers

Additional Example 1C: Comparing Negative Rational Numbers

Use <, >, or = to compare each pair of numbers.

C.

Write –1/2 as a decimal.

Compare.–0.5 < –0.3

9-2 Extension: Negative Rational Numbers

Check It Out: Example 1A

Use <, >, or = to compare each pair of numbers.

A.

Write the fractions using a common denominator.

Compare.

9-2 Extension: Negative Rational Numbers

Check It Out: Example 1B

Use <, >, or = to compare each pair of numbers.

B. –0.4 –14

Line up the decimal points and compare from left to right.

–0.4

–14.0

0 is greater than –14.

–0.4 > –14

9-2 Extension: Negative Rational Numbers

Check It Out: Example 1C

Use <, >, or = to compare each pair of numbers.

C.

Write –1/5 as a decimal.

Compare.–0.2 = –0.2

9-2 Extension: Negative Rational Numbers

Additional Example 2: Ordering Rational Numbers

Use a number line to write the numbers in order from least to greatest.

Graph the numbers on a number line.

–5 –4 –3 –2 –1 0 1 2 3 4 5

2.2–1 0–2–3 1/4

9-2 Extension: Negative Rational Numbers

Check It Out: Example 2

Use a number line to write the numbers in order from least to greatest.

Graph the numbers on a number line.

–5 –4 –3 –2 –1 0 1 2 3 4 5

4.2–4

0–2–4 1/2