Transcript place value - 5thgradesanluiselementary

5th Grade
Objectives
Know how to compare numbers up
to hundred thousand
 Be able to put a group of numbers
in order from greatest to least or
least to greatest

Vocabulary
Greater than (>) – a symbol used to
show numbers greater than another
 Less than (<) – a symbol used to
show numbers less than another
 Equals (=) a symbol used to show
numbers having the same value

How to compare numbers
1
2
3
If numbers
Compare at
are the same
Line up the highest
numbers place value go to next digit
to the right
12,391
8,971
13,762
12,391
8,971
13,762
12,391
8,971
13,762
Remember! The hungry alligator
always eats the largest number.
Write < > or =
53,931 < 54,931
Write < > or =
53,931 > 4,931
Write < > or =
183,359 > 94,931
Write < > or =
89,359 < 194,931
Write < > or =
1,077,000 > 107,900
Write < > or =
984,789 = 984,789
Write < > or =
112,349 < 112,449
Write < > or =
Five thousand
< 50,000
Write < > or =
3 hundreds 6 tens
> 306
Write < > or =
1,000+700+3 < 1,730
If you know how to compare
numbers, you know how to put
them in order
Put these numbers in order
from greatest to least
1,730 14 569 9,271
2
4
3
1
Put these numbers in order from
greatest to least
35,872 36,872 569 9
2
1
3
4
Put these numbers in order from
least to greatest
145,872 6,872 569 91
4
3
2
1
Put these numbers in order from
least to greatest
5,872 5,832 5,991 910
3
2
4
1
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
Copyright © 2000 by Monica Yuskaitis
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:
Copyright © 2000 by Monica Yuskaitis
.87
.99
.99
1.97
3.70
3.80
4.79
4.80
What Do I Mean Compare
Decimals?
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When we compare we use terms such as:
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Comparing decimals is similar to comparing
whole numbers.
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Less than <
Greater than >
Equal to =
45<47
150>105
When we compare decimals we use place
value or a number line.
Copyright © 2000 by Monica Yuskaitis
Place Value
1,000 100
10
1
0.1
0.01 0.001 0.0001
Copyright © 2000 by Monica Yuskaitis
Half pipe Results
Sara
42.1
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Compare Sara’s score
with Danny’s score.
1.
Line Up Decimal Points
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Danny
42.5
Ross
42.0
Bethany 40.7
Jacob
46.1
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2.
Sara:
42.1
Danny: 42.5
Start at the left and find the first
place where the digits differ.
Compare the digits
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1<5
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42.1<42.5
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This means Sara’s score was
lower than Danny’s score.
Copyright © 2000 by Monica Yuskaitis
Let’s Try Using A
Number Line
Sara
Danny
Ross
Bethany
Jacob
42.1
42.5
42.0
40.7
46.1
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
Copyright © 2000 by Monica Yuskaitis
Equivalent Decimals
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Decimals that name the same number
are called equivalent decimals.
 0.60 and 0.6
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Are these the same???
Copyright © 2000 by Monica Yuskaitis
0.60
=
Copyright © 2000 by Monica Yuskaitis
0.6
Annexing 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!!
 Annexing or adding zeros is useful
when ordering a group of decimals.
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Copyright © 2000 by Monica Yuskaitis
Ordering Decimals
We can order decimals from least to
greatest or we can order from greatest
to least.
 Let’s try an example:
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Order 15, 14.95, 15.8, and 15.01 from
least to greatest
Copyright © 2000 by Monica Yuskaitis
15, 14.95, 15.8, 15.01
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First, line up the decimal points
15
14.95
15.8
15.01
Copyright © 2000 by Monica Yuskaitis
15, 14.95, 15.8, 15.01
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Next, annex zeros so that each number
has the same number of decimal places
15.00
14.95
15.80
15.01
Copyright © 2000 by Monica Yuskaitis
15, 14.95, 15.8, 15.01
Finally, use place value to compare the
decimals. Always start from the left!!
15.00
14.95
15.80
15.01
 14.95, 15, 15.01, 15.8
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Copyright © 2000 by Monica Yuskaitis
One More Example
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Order these numbers from greatest to
least
 35.06, 35.7, 35.5, 35.849
Copyright © 2000 by Monica Yuskaitis