Comparing and Ordering Decimals

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Transcript Comparing and Ordering Decimals

Comparing and Ordering
Decimals
John ran 100 meters in 11.34 seconds
and Robert ran 100 meters in 11.32
seconds. Who ran faster?
David had a batting average of 0.523.
Larry had a batting average of 0.520.
Who had the lower batting average?
One can has 0.5 liter of oil. A second
can has 0.49 liter of oil. Which can
has more oil?
Ms. Smith rode a bicycle 0.889 miles.
Ms. Jones rode a bicycle 0.882 miles.
Who rode the shortest distance?
What does comparing decimals
mean?

When we compare we use terms such as:



Less than
Greater than
Equal to

Comparing decimals is similar to comparing
whole numbers.
 When we compare decimals we use place
value or a number line.
50
47
280
285
Place Value
Pass Rating in the
NFL
Michael
Vick
Vince
Young
Philip
Rivers
David
Garrard
Peyton
Manning

Compare Michael’s
pass rating with
Phillip’s pass rating.
1.
Line Up Decimal Points
105.3
103.1


102.9
98.8
96.1
2.
Michael: 105.3
Philip: 102.9
Start at the left and find the
first place where the digits
differ. Compare the digits

1=1

0=2

5>2

This mean Michael’s pass
rating is better than Philip’s
pass rating.
Use a number line
Michael Vick
105.3
Vince Young
103.1
Philip Rivers
102.9
David Garrard
98.8
Peyton Manning
96.1
102.0
103.0
104.0
105.0
106.0
Numbers to the right are greater than numbers to the left. Since 105.3 is to the
right of 102.9, we know that 105.3 > 102.9.
Greater than, Less than, or Equal?
0.7
0.10
20.5
152.53
152.46
123. 23
0.60
20.6
0.60
123.235
Equivalent Decimals
 Decimals
that name the same number are
called equivalent decimals.
 Are these numbers the same?
0.6
0.60
Annexing Zeros
 0.6
=
0.60
 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.
What is ordering decimals?
 We
can order decimals from least to
greatest or we can order from greatest to
least.
 Order
15, 14.95, 15.8, and 15.01 from
least to greatest
 Order
35.06, 35.7, 35.5, 35.849 from
greatest to least
Order 140, 144.95, 152.8, and 150.01
from least to greatest
140, 144.95, 150.01, 152.8
Order 25.04, 25.5, 23.97, and 23.849
from greatest to least
25.5, 25.04, 23.97, 23.849
Order 12, 12.94, 12.9, and 12.05 from
least to greatest
12, 12.05, 12.9, 12.94
Order 2.56, 2.30, 2.31, and 2.14 from
greatest to least
2.56, 2.31, 2.30, 2.14
When will I ever do this???
Double Cheeseburger: $ .99
Big Mac Value Meal: $ 4.79
Chicken McNugget Meal: $ 3.80
Small Drink: $ .99
McFlurry: $ 1.97
Salad: $ 4.80
2 Cheeseburger Meal: $ 3.70
Ice Cream Cone: $ .87
Order Up!
Least Expensive to Most Expensive








Ice Cream Cone
Double Cheeseburger:
Small Soft Drink:
McFlurry:
2 Cheeseburger Meal:
Chicken McNuggetts Meal:
Big Mac Value Meal:
Chicken Salad:
$ 0.87
$ 0.99
$ 0.99
$ 1.97
$ 3.70
$ 3.80
$ 4.79
$ 4.80
Order Up!
Comparing the Items
 Which


one is cheaper?
Ice Cream Cone or McFlurry?
2 Cheeseburger Meal or Big Mac Meal?
 Which
one is more expensive?

Chicken Salad or Chicken McNugget Meal?

Double Cheeseburger or 2 Cheeseburger Meal?
Understanding how to compare and order decimals can
help you save money!!!