Comparing and Ordering Rational Numbers 2-11 Comparing and Ordering Rational Numbers Course 2 Warm Up Problem of the Day Lesson Presentation

Comparing and Ordering Rational Numbers Course 2 2-11 Comparing and Ordering Rational Numbers Warm Up Write each mixed number as an improper fraction. 1. 1 3. 1 3 4 7 8 2. 2 5 6 1 12 4. 8

Equivalent Fractions and Decimals Course 2 2-10 Equivalent Fractions and Decimals In baseball, a player’s batting average compares the number of hits with the number of times the player has been at bat. The statistics on the next slide are for the 2004 Major League Baseball season.

Batting Average (thousandths) Course 2 2-10 Equivalent Fractions and Decimals Player Hits At Bats Batting Average (thousandths) Lance Berkman Alex Rodriguez Hits at Bats 172 544 172 544 172 ÷ 544 ≈ 0.316 172 601 172 601 172 ÷ 601 ≈ 0.286 To convert a fraction to a decimal, divide the numerator by the denominator.

Terminating Decimals 2-10 Equivalent Fractions and Decimals Course 2 2-10 Equivalent Fractions and Decimals Write each fraction as a decimal. Round to the nearest hundredth, if necessary. Example: 1 4 9 5 A. B. These are called Terminating Decimals Because the decimals come to an end.

Insert Lesson Title Here Course 2 2-10 Equivalent Fractions and Decimals Insert Lesson Title Here Write each fraction as a decimal. Round to the nearest hundredth, if necessary. Examples: 5 3 7 3 e. f. Repeating Decimals These are called Because the decimal repeats the pattern forever.

Equivalent Fractions and Decimals Course 2 2-10 Equivalent Fractions and Decimals You should write a repeating decimal with a bar over the repeating part. For example: 0.333… = 0.3 0.8333… = 0.83 0.727272… = 0.72

Use Mental Math to Write Fractions as Decimals Course 2 2-10 Equivalent Fractions and Decimals Use Mental Math to Write Fractions as Decimals Write each fraction as a decimal. 4 5 3 5 A. c. 37 50 18 25 B. d.

Equivalent Fractions and Decimals Course 2 2-10 Equivalent Fractions and Decimals Write each decimal as a fraction in simplest form. A. 0.018 B. 1.55 You read the decimal 0.018 as “eighteen thousandths.” Reading Math

Insert Lesson Title Here Course 2 2-10 Equivalent Fractions and Decimals Insert Lesson Title Here Write each decimal as a fraction in simplest form. C. 0.015 D. 1.30

Learn to compare and order fractions and decimals. Course 2 2-11 Comparing and Ordering Rational Numbers Learn to compare and order fractions and decimals.

Insert Lesson Title Here Course 2 2-11 Comparing and Ordering Rational Numbers Insert Lesson Title Here Vocabulary rational number

Comparing and Ordering Rational Numbers Course 2 2-11 Comparing and Ordering Rational Numbers 7 9 2 9 Which is greater, or ? When two fractions have the same denominator, just compare the numerators. 7 9 2 9 > because 7 > 2. 7 9 = 2 9 =

Comparing and Ordering Rational Numbers Course 2 2-11 Comparing and Ordering Rational Numbers Compare the fractions. Write < or >. 7 9 11 15 Using LCM

Comparing and Ordering Rational Numbers Course 2 2-11 Comparing and Ordering Rational Numbers Compare the fractions. Write < or >. 2 5 3 7 – – Using LCM

Comparing and Ordering Rational Numbers Course 2 2-11 Comparing and Ordering Rational Numbers Now, YOU try! Compare the fractions. Write < or >. 5 6 7 8

Comparing and Ordering Rational Numbers Course 2 2-11 Comparing and Ordering Rational Numbers Now, YOU try! Compare the fractions. Write < or >. 6 8 5 7 – –

Course 2 2-11 Comparing and Ordering Rational Numbers To compare decimals, line up the decimal points and compare digits from left to right until you find the place where the digits are different.

Comparing and Ordering Rational Numbers Course 2 2-11 Comparing and Ordering Rational Numbers Compare the decimals. Write < or >. 0.427 0.425 Line up and check from left to right

Comparing and Ordering Rational Numbers Course 2 2-11 Comparing and Ordering Rational Numbers Compare the decimals. Write < or >. 0.73 0.734

Comparing and Ordering Rational Numbers Course 2 2-11 Comparing and Ordering Rational Numbers Now, YOU try! Compare the decimals. Write < or >. 0.535 0.538

Comparing and Ordering Rational Numbers Course 2 2-11 Comparing and Ordering Rational Numbers Now, YOU try! Compare the decimals. Write < or >. 0.3 0.334

Course 2 2-11 Comparing and Ordering Rational Numbers A rational number is a number that can be written as a fraction with integers for its numerator and denominator. When rational numbers are written in a variety of forms, you can compare the numbers by writing them all in the same form.

Comparing and Ordering Rational Numbers Course 2 2-11 Comparing and Ordering Rational Numbers Click through 4 5 Order , 0.93, and 0.9 from least to greatest. Write as decimals with the same number of places. 4 5 = 0.80 0.93 = 0.93 0.9 = 0.90 Graph the numbers on a number line. 0.93 0 0.2 0.4 0.6 0.8 1 0.80 < 0.90 < 0.93 Compare the decimals in order. 4 5 From least to greatest, the numbers are , 0.9, 0.93.

Comparing and Ordering Rational Numbers Course 2 2-11 Comparing and Ordering Rational Numbers 3 5 Click through Order , 0.84, and 0.7 from least to greatest. Write as decimals with the same number of places. 3 5 = 0.60 0.84 = 0.84 0.7 = 0.70 Graph the numbers on a number line. 0.84 0 0.2 0.4 0.6 0.8 1 0.60 < 0.70 < 0.84 Compare the decimals in order. 3 5 From least to greatest, the numbers are , 0.7, 0.84.

Insert Lesson Title Here Course 2 2-11 Comparing and Ordering Rational Numbers Insert Lesson Title Here Lesson Quiz Compare the fractions. Write > or <. 1. Compare the decimals. Write < or >. 3. 0.32 and 0.312 3 7 4 10 5 8 2 3 or > 2. < or > 5 6 4. Order , 0.8, 0.826 from least to greatest. 0.8, 0.826, 5 6