Today’s Plan: -Compare and order decimals -Human Number Line -Compare and order fractions 11/17/10 Compare and Order Rational Numbers Learning Target: -I can convert, compare, and order fractions and decimals. Entry Task Compare the decimals. Write and > , 0.826, Order, 0.8, from least to greatest. < >

Today’s Plan: -Compare and order decimals -Human Number Line -Compare and order fractions 11/17/10 Compare and Order Rational Numbers Learning Target: -I can convert, compare, and order fractions and decimals. Correct Homework

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. 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. 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: < 4. Course Comparing and Ordering Rational Numbers 0.73 = _ Since 0.03 is < 0.04, 0.73 < _

Compare the decimals. Write. Check It Out: Example 2B … Line up the decimal points. The tenths and hundredths are the same. Compare the thousandths: < 4. Course Comparing and Ordering Rational Numbers 0.33 = __ Since is < 0.004, 0.33 < __ 0.3

Human Number Line: Order Decimals Today’s Plan: -Mental math with decimals -Multiply decimals -Add and Subtract Decimals 11/17/10 Compare and Order Rational Numbers Learning Target: -I can convert, compare, and order fractions and decimals.

Learn to compare and order fractions and decimals. Course Comparing and Ordering Rational Numbers Vocabulary rational number

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. Course Comparing and Ordering Rational Numbers

Which is greater, or ? When two fractions have the same denominator, just compare the numerators > 2929 because 7 > 2. = 7979 = 2929 Course Comparing and Ordering Rational Numbers

Compare the fractions. Write. Additional Example 1A: Comparing Fractions = 7 · 8 9 · 8 = = 5 · 9 8 · 9 = > 45 72, and so > 5858 Write equivalent fractions with 72 as the denominator. Course Comparing and Ordering Rational Numbers Compare the 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. 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 Course Comparing and Ordering Rational Numbers Compare the numerators.

Compare the fractions. Write – – 6868 – = –6 · 7 8 · 7 = – – = –5 · 8 7 · 8 = –40 56 – < – 40 56, and so – < – 5757 Write equivalent fractions with common denominators. Put the negative signs in the numerators. Check It Out: Example 1B Both fractions can be written with a denominator of 56. Course Comparing and Ordering Rational Numbers

Course Comparing and Ordering Rational Numbers The values on a number line increase as you move from left to right. Remember!

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 Course Comparing and Ordering Rational Numbers 0.80 < 0.90 < 0.93Compare the decimals in order From least to greatest, the numbers are, 0.9, 0.93.

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 Course Comparing and Ordering Rational Numbers 0.60 < 0.70 < 0.84Compare the decimals in order From least to greatest, the numbers are, 0.7, 0.84.

Today’s Plan: -Compare and order decimals -Human Number Line -Compare and order fractions 11/17/10 Compare and Order Rational Numbers Learning Target: -I can convert, compare, and order fractions and decimals. Assignment: Page 176 #

Course Multiplying Decimals You can use decimal grids to model multiplication of decimals. Each large square represents 1. Each row and column represents 0.1. Each small square represents The area where the shading overlaps shows the product of the two decimals.  =

Course Multiplying Decimals To multiply decimals, multiply as you would with integers. To place the decimal point in the product, count the number of decimal places in each factor. The product should have the same number of decimal places in the factors. 7  8  decimal place 2 decimal places + Same digits 0.

Today’s Plan: -Mental math with decimals -Multiply decimals -Add and Subtract Decimals 11/17/10 Decimals Learning Target: -I can solve problems containing decimals and determine if my answer is reasonable. Multiply Decimals Worksheet

Conversion Practice Today’s Plan: -Mental math with decimals -Multiply decimals -Add and Subtract Decimals 11/17/10 Decimals Learning Target: -I can solve problems containing decimals and determine if my answer is reasonable.

Today’s Plan: -Mental math with decimals -Multiply decimals -Add and Subtract Decimals 11/17/10 Decimals Learning Target: -I can solve problems containing decimals and determine if my answer is reasonable. Add and subtract decimals