Holt CA Course Comparing and Ordering Rational Numbers Warm Up Warm Up California Standards Lesson Presentation Preview
Holt CA Course Comparing and Ordering Rational Numbers Warm Up Write each mixed number as an improper fraction
Holt CA Course Comparing and Ordering Rational Numbers NS1.1 Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Also covered: NS2.4 California Standards
Holt CA Course Comparing and Ordering Rational Numbers Which is greater, or ? To compare fractions with the same denominator, just compare the numerators > 2929 because 7 > 2. = 7979 = 2929
Holt CA Course Comparing and Ordering Rational Numbers One way to compare fractions with unlike denominators is to use models. For example, the models show that < Another way to compare fractions with unlike denominators is to first write equivalent fractions with common denominators. Then compare the fractions = 1212 =
Holt CA Course Comparing and Ordering Rational Numbers A rational number is a number that can be written as a fraction or quotient of integers with a nonzero denominator. When rational numbers are written in a variety of forms, you can compare the numbers by writing them all in the same form.
Holt CA Course Comparing and Ordering Rational Numbers Vocabulary rational number
Holt CA Course 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.
Holt CA Course Comparing and Ordering Rational Numbers A fraction less than 0, such as , can be written as ,, or. Helpful Hint! 2525 2 5
Holt CA Course Comparing and Ordering Rational Numbers The values on a number line increase as you move from left to right. Remember!
Holt CA Course Comparing and Ordering Rational Numbers Compare the fractions. Write. Additional Example 1A: Comparing Fractions The LCM of the denominators 9 and 8 is = 7 8 9 8 = = 5 9 8 9 = > 45 72, and so > 5858 Write equivalent fractions with 72 as the denominator. Compare the numerators.
Holt CA Course Comparing and Ordering Rational Numbers Additional Example 1B: Comparing Fractions Compare the fractions. Write – – 2525 – = –2 7 5 7 = – – = –3 5 7 5 = –15 35 – > – 15 35, and so – > – 3737 Write equivalent fractions with 35 as the denominator. Put the negative signs in the numerators. Both fractions can be written with a denominator of 35.
Holt CA Course Comparing and Ordering Rational Numbers Compare the decimals. Write. Additional Example 2A: Comparing Decimals Since > 0.005, > Line up the decimal points. The tenths and hundredths are the same. Compare the thousandths: > 5.
Holt CA Course Comparing and Ordering Rational Numbers Compare the decimals. Write. Additional Example 2B: Comparing Decimals … Line up the decimal points. The tenths and hundredths are the same. Compare the thousandths: < = _ Since is < 0.004, 0.73 < is a repeating decimal.
Holt CA Course Comparing and Ordering Rational Numbers Order Additional Example 3: Ordering Fractions and Decimals , and 0.9 from least to greatest., 4545 = 0.80 Graph the numbers on a number line Write as decimals with the same number of places = = < 0.90 < 0.93Compare the decimals From least to greatest, the numbers are, 0.9, 0.93.
Holt CA Course Comparing and Ordering Rational Numbers Compare the fractions. Write The LCM of the denominators 6 and 8 is = 5 8 6 8 = = 7 6 8 6 = < 42 48, and so < 7878 Write equivalent fractions with 48 as the denominator. Check It Out! Example 1A Compare the numerators.
Holt CA Course Comparing and Ordering Rational Numbers Compare the decimals. Write Since < 0.008, < Line up the decimal points. The tenths and hundredths are the same. Compare the thousandths: < 8. Check It Out! Example 2A
Holt CA Course Comparing and Ordering Rational Numbers Order, 0.84, and 0.7 from least to greatest. Check It Out! Example = 0.60 Graph the numbers on a number line Write as decimals with the same number of places = = < 0.70 < 0.84Compare the decimals From least to greatest, the numbers are, 0.7, 0.84.
Holt CA Course Comparing and Ordering Rational Numbers Lesson Quiz Compare the fractions. Write > or < Compare the decimals. Write and > 3737 and and 2323 < > , 0.826, Order, 0.8, from least to greatest. Graph the numbers on a number line
Holt CA Course Comparing and Ordering Rational Numbers Compare the fractions. Write – – 6868 – = –6 7 8 7 = – – = –5 8 7 8 = –40 56 – < – 40 56, and so – < – 5757 Write equivalent fractions with 56 as the denominator. Put the negative signs in the numerators. Check It Out! Example 1B Both fractions can be written with a denominator of 56.
Holt CA Course Comparing and Ordering Rational Numbers Compare the decimals. Write. Check It Out! Example 2B … Line up the decimal points. The tenths and hundredths are the same. Compare the thousandths: < Since is < 0.004, 0.3 < = 0.3 is a repeating decimal.