5th Grade
Objectives Know Know how to compare numbers up to hundred thousand Be Be able to put a group of numbers in order from greatest to least or least to greatest
Vocabulary Greater Greater than (>) – a symbol used to show numbers greater than another Less Less than (<) – a symbol used to show numbers less than another Equals Equals (=) a symbol used to show numbers having the same value
How to compare numbers Line up the numbers Compare at highest place value If numbers are the same go to next digit to the right 12,391 8,971 13,762 12,391 8,971 13,762 12,391 8,971 13,
Remember! The hungry alligator always eats the largest number.
Write or = 53,93154,931 <
Write or = 53,931 4,931 >
Write or = 183,359 94,931 >
Write or = 89, ,931 <
Write or = 1,077, ,900 >
Write or = 984,789 =
Write or = 112, ,449 <
Write or = Five thousand 50,000 <
Write or = 3 hundreds 6 tens 306 >
Write or = 1, ,730 <
If you know how to compare numbers, you know how to put them in order 1, ,271 Put these numbers in order from greatest to least 1234
Put these numbers in order from greatest to least 35,872 36,
Put these numbers in order from least to greatest 145,872 6,
Put these numbers in order from least to greatest 5,872 5,832 5,
Comparing and Ordering Decimals When Will I Ever Do That???!!!
Copyright © 2000 by Monica Yuskaitis McDonald’s Menu…. I’m Lovin It!! Double Cheeseburger: $.99 Double Cheeseburger: $.99 Big Mac Value Meal: $ 4.79 Big Mac Value Meal: $ 4.79 Chicken McNuggetts Meal: $ 3.80 Chicken McNuggetts Meal: $ 3.80 Small Drink: $.99 Small Drink: $.99 McFlurry: $ 1.97 McFlurry: $ 1.97 Salad: $ 4.80 Salad: $ Cheeseburger Meal: $ Cheeseburger Meal: $ 3.70 Ice Cream Cone: $.87 Ice Cream Cone: $.87
Copyright © 2000 by Monica Yuskaitis Order Up! Least Expensive to Most Expensive Ice Cream Cone.87 Ice Cream Cone.87 Double Cheeseburger:.99 Double Cheeseburger:.99 Small Soft Drink:.99 Small Soft Drink:.99 McFlurry: 1.97 McFlurry: Cheeseburger Meal: Cheeseburger Meal: 3.70 Chicken McNuggetts Meal: 3.80 Chicken McNuggetts Meal: 3.80 Big Mac Value Meal: 4.79 Big Mac Value Meal: 4.79 Chicken Salad: 4.80 Chicken Salad: 4.80
Copyright © 2000 by Monica Yuskaitis What Do I Mean Compare Decimals? When we compare we use terms such as: When we compare we use terms such as: Less than < Less than < Greater than > Greater than > Equal to = Equal to = Comparing decimals is similar to comparing whole numbers. Comparing decimals is similar to comparing whole numbers. 45<47 45<47 150> >105 When we compare decimals we use place value or a number line. When we compare decimals we use place value or a number line.
Copyright © 2000 by Monica Yuskaitis Place Value 1,
Copyright © 2000 by Monica Yuskaitis Compare Sara’s score with Danny’s score. 1. Line Up Decimal Points Sara: 42.1 Danny: Start at the left and find the first place where the digits differ. Compare the digits 1<5 42.1<42.5 This means Sara’s score was lower than Danny’s score. Sara42.1 Danny42.5 Ross42.0 Bethany40.7 Jacob46.1 Half pipe Results
Copyright © 2000 by Monica Yuskaitis Let’s Try Using A Number Line Sara42.1 Danny42.5 Ross42.0 Bethany40.7 Jacob Numbers to the right are greater than numbers to the left. Since 42.5 is to the right of 42.1 we have: 42.5>42.1
Copyright © 2000 by Monica Yuskaitis Equivalent Decimals Decimals that name the same number are called equivalent decimals. Decimals that name the same number are called equivalent decimals and and 0.6 Are these the same??? Are these the same???
Copyright © 2000 by Monica Yuskaitis =
Copyright © 2000 by Monica Yuskaitis Annexing Zeros This means placing a zero to the right of the last digit in a decimal. This means placing a zero to the right of the last digit in a decimal Although we added a zero, the value of the decimal did not change!! Although we added a zero, the value of the decimal did not change!! Annexing or adding zeros is useful when ordering a group of decimals. Annexing or adding zeros is useful when ordering a group of decimals.
Copyright © 2000 by Monica Yuskaitis Ordering Decimals We can order decimals from least to greatest or we can order from greatest to least. We can order decimals from least to greatest or we can order from greatest to least. Let’s try an example: Let’s try an example: Order 15, 14.95, 15.8, and from least to greatest Order 15, 14.95, 15.8, and from least to greatest
Copyright © 2000 by Monica Yuskaitis First, line up the decimal points First, line up the decimal points , 14.95, 15.8, 15.01
Copyright © 2000 by Monica Yuskaitis 15, 14.95, 15.8, Next, annex zeros so that each number has the same number of decimal places Next, annex zeros so that each number has the same number of decimal places
Copyright © 2000 by Monica Yuskaitis 15, 14.95, 15.8, Finally, use place value to compare the decimals. Always start from the left!! Finally, use place value to compare the decimals. Always start from the left!! , 15, 15.01, , 15, 15.01, 15.8
Copyright © 2000 by Monica Yuskaitis One More Example Order these numbers from greatest to least Order these numbers from greatest to least 35.06, 35.7, 35.5, , 35.7, 35.5,