Comparing and Ordering Decimals

When Will I Ever Do That???!!!

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Key TermsCompare

Terminal Zero

Left

صفرفي النهاية

قار.Ex: Compare the following decimalsن

0.65 and 0.534

Ex: Start at the left and compare the first digits that differ.

Ex: After lining up decimals, add a terminal zero if you are missing a digit.

يسار

Right

يمين

0.650.534

0.6500.534

0.65 > 0.534

McDonald’s Menu….I’m Lovin It!!• Double Cheeseburger: 3.99AED• Big Mac Value Meal: 4.79AED• Chicken McNuggets Meal: 3.80AED• Small Drink: 0.99AED• McFlurry: 1.97AED• Salad: 4.80AED• 2 Cheeseburger Meal: 3.70AED• Ice Cream Cone: .87AED

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Order Up!We can order decimals, in this case prices, from

least to greatest (ascending order) or we can order from greatest to least (descending order).

.87, .99, 1.97, 3.70, 3.80, 3.99, 4.79, 4.80ascending

descending

4.80, 4.79, 3.99, 3.80, 3.70, 1.97, .99, .87

What Do I Mean Compare Decimals?• When we compare we use terms such as:– Less than <– Greater than >– Equal to =

• Comparing decimals is similar to comparing whole numbers. 45 < 47 150 > 105 0.55 = 0.55000

• When we compare decimals we use place value or a number line.

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KhalidKhalid 42.142.1

SalehSaleh 42.542.5

TheyabTheyab 42.042.0

SalmeeSalmeenn

40.740.7

AbdulaAbdulahh

46.146.1

• Compare Khalid’s score with Saleh’s score.

1. Line Up Decimal Points– Khalid: 42.1– Saleh: 42.5

2. Start at the left and find the first place where the digits differ. Compare the digits– 1 < 5 – 42.1 < 42.5– This means Khalid’s score was less

than Saleh’s score.

Minecraft High Scores

Let’s Try Using A Number Line

KhalidKhalid 42.142.1SalehSaleh 42.542.5TheyabTheyab 42.042.0SalmeenSalmeen 40.740.7AbdulahAbdulah 46.146.1

42.0 42.1 42.5

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

Adding Terminal Zeros

• This means placing a zero to the right of the last digit in a decimal.

• 0.6 0.60• Although we added a zero, the value of the

decimal did not change!!

Note: Adding terminal zeros is useful when ordering a group of decimals.

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0.60

0.6=

15, 14.95, 15.8, 15.01

• First, line up decimal points.• Next, add terminal zeros so that each number

has the same number of decimal places 15 14.95 15.8 15.01

00.

0

95.14 15 01.15 80.15

Independent Practice

• Place these decimals in ascending order:• 35.06, 35.7, 35.5, 35.849

• 5.06, 5.7, 5.52, 5.89

• 135.27, 135.254, 135.849, 135.26

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