Transcript comparing and ordering decimals

Comparing and Ordering
Decimals
When Will I Ever Do That???!!!
McDonald’s Menu….
I’m Lovin It!!
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Double Cheeseburger: $ .99
Big Mac Value Meal: $ 4.79
Chicken McNuggetts 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
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Ice Cream Cone
Double Cheeseburger:
Small Soft Drink:
McFlurry:
2 Cheeseburger Meal:
Chicken McNuggetts Meal:
Big Mac Value Meal:
Chicken Salad:
.87
.99
.99
1.97
3.70
3.80
4.79
4.80
Library books use the Dewey
Decimal System.
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We need to be able to order decimal to
find books on the non-fiction shelves.
917.2
920
927.4
927.43
Equivalent Fractions
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Which of these decimal numbers is the
greatest?
0.6
0.60
Look at the figure on the next slide.
0.60
=
0.6
This figure shows that
0.6 of one rectangle and
0.60 of the other are the
same size.
Equivalent Fractions
0.6
= 0.60
0.6 and 0.60 are called equivalent
fractions. They represent the same
amount. They both have a 6 in the tenths
place.
Annexing Zeroes
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All these decimal numbers are equivalent.
We annexed zeroes by adding them to the
right side of a decimal number. That did
not change the value of the number.
0.2 = 0.20 = 0.200 = 0.2000 , etc.
1.35 = 1.350 = 1.3500, etc.
0.073 = 0.0730 = 0.76300, etc
Comparing Decimals
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When we compare we use these symbols:
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Less than <
Greater than >
Equal to =
Comparing Decimals
>, <, =
4.6 ? 4.06
Line up two decimal points.
.
.
Comparing Decimals
>, <, =
4.6 ? 4.06
Write the numbers and annex zeroes.
4.60
4.06
Comparing Decimals
>, <, =
4.6 > 4.06
The ones places are both 4’s. Six
hundredths is smaller than sixty
hundredths.
4.60
4.06
Compare
3.6 ? 3.60
4.5 ? 4.05
1.23 ? 1.3
2.87 ? 28
7.0354 ? 7.04
Answers
3.6 = 3.60
4.5 > 4.05
1.23 < 1.3
2.87 < 28
7.0354 < 7.04
Ordering Decimals
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We can order decimals from least to
greatest or we can order from greatest to
least.
Let’s try an example:
Order 15, 14.95, 15.8, and 15.01 from
least to greatest
15, 14.95, 15.8, 15.01
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First, line up four decimal points.
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.
15, 14.95, 15.8, 15.01
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15 is a whole number. It goes to the left
of the decimal point.
15.
.
.
.
15, 14.95, 15.8, 15.01
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Write the other numbers. Annex zeroes
so everything lines up.
15.00
14.95
15.80
15.01
15, 14.95, 15.8, 15.01
Finally, compare from left to right, just like
alphabetical order.
15.00
14.95
15.80
15.01
The tens places are all the same.
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15, 14.95, 15.8, 15.01
Finally, compare from left to right, just like
alphabetical order.
15.00
14.95  1 (smallest)
15.80
15.01
The 4 is the smallest ones.
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15, 14.95, 15.8, 15.01
Finally, compare from left to right, just like
alphabetical order.
15.00
14.95
1
15.80
 4 (largest)
15.01
The 15.8 is the largest.
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15, 14.95, 15.8, 15.01
Finally, compare from left to right, just like
alphabetical order.
15.00
2
14.95
1
15.80
4
15.01
3
The 15.00 is smaller than 15.01. The correct
order is: 14.95, 15, 15.01, 15.8
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One More Example
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Order these numbers from least to
greatest.
35.06, 35.7, 35.5, 35.849
One More Example
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Order these numbers from least to
greatest.
35.06, 35.7, 35.5, 35.849
Line up to compare:
35.060
35.700
35.500
35.849
One More Example
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Order these numbers from least to
greatest.
35.06, 35.7, 35.5, 35.849
Answer:
35.06, 35.5, 35.7, 35.849
One More Example
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Order these prices from least to greatest.
$7.67, $7, $8.08, $8
One More Example
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Order these prices from least to greatest.
$7.67, $7, $8.08, $8
Line up to compare:
7.67
7.00
8.08
8.00
One More Example
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Order these prices from least to greatest.
$7.67, $7, $8.08, $8
Answer:
$7, $7.67, $8, $8.08
One More Example
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Order these numbers from least to
greatest.
0.67, 1.2, 0.8, 0.35
One More Example
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Order these numbers from least to
greatest.
0.67, 1.2, 0.8, 0.35
Line up to compare:
0.67
1.20
0.80
0.35
One More Example
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Order these numbers from least to
greatest.
0.67, 1.2, 0.8, 0.35
Answer:
0.35, 0.67, 0.8, 1.2
Last one.
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Order these book numbers from least to
greatest.
972.4, 972, 970.3, 972.05
Last one.
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Order these book numbers from least to
greatest.
972.4, 972, 970.3, 972.05
Line up to compare:
972.40
972.00
970.30
972.05
Last one.
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Order these book numbers from least to
greatest.
972.4, 972, 970.3, 972.05
Answer:
970.3, 972, 972.05, 972.4
ThaT’s all!!