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

5th Grade5th Grade

ObjectivesObjectives

Know how to compare numbers Know how to compare numbers up to hundred thousandup to hundred thousand

Be able to put a group of Be able to put a group of numbers in order from greatest numbers in order from greatest to least or least to greatestto least or least to greatest

VocabularyVocabulary Greater than (>) – a symbol Greater than (>) – a symbol

used to show numbers greater used to show numbers greater than anotherthan another

Less than (<) – a symbol used to Less than (<) – a symbol used to show numbers less than anothershow numbers less than another

Equals (=) a symbol used to Equals (=) a symbol used to show numbers having the same show numbers having the same valuevalue

How to compare numbersHow to compare numbers

Line up thenumbers

Compare athighest

place value

If numbersare the same

go to next digitto the right

12,391 8,97113,762

12,391 8,97113,762

12,391 8,97113,762

1 2 3

Remember! The hungry Remember! The hungry alligator always eats the alligator always eats the

largest number. largest number.

Write < > or =Write < > or =

53,931 54,931<


53,931 4,931>


183,359 94,931>


89,359 194,931<


1,077,000 107,900>


984,789 984,789=


112,349 112,449<


Five thousand 50,000<


3 hundreds 6 tens 306>


1,000+700+3 1,730<

If you know how to compare If you know how to compare numbers, you know how to put numbers, you know how to put

them in orderthem in order

1,730 14 569 9,271

Put these numbers in order from greatest to least

12 34

Put these numbers in order Put these numbers in order fromfrom

greatest to leastgreatest to least

35,872 36,872 569 912 3 4


least to greatestleast to greatest

145,872 6,872 569 91 1234


least to greatestleast to greatest

5,872 5,832 5,991 910 123 4

Comparing and Comparing and Ordering Ordering DecimalsDecimals

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

Copyright © 2000 by Monica Yuskaitis

McMcDoDonanaldld’s M’s Menenu….u….I’m Lovin It!!I’m Lovin It!!

Double Cheeseburger: $ .99Double Cheeseburger: $ .99 Big Mac Value Meal: $ 4.79Big Mac Value Meal: $ 4.79 Chicken McNuggetts Meal: $ 3.80Chicken McNuggetts Meal: $ 3.80 Small Drink: $ .99Small Drink: $ .99 McFlurry: $ 1.97McFlurry: $ 1.97 Salad: $ 4.80Salad: $ 4.80 2 Cheeseburger Meal: $ 3.702 Cheeseburger Meal: $ 3.70 Ice Cream Cone: $ .87Ice Cream Cone: $ .87


Order Up!Order Up!Least Expensive to Most Least Expensive to Most ExpensiveExpensive

Ice Cream Cone .87Ice Cream Cone .87 Double Cheeseburger: .99Double Cheeseburger: .99 Small Soft Drink: .99Small Soft Drink: .99 McFlurry: 1.97McFlurry: 1.97 2 Cheeseburger Meal: 3.702 Cheeseburger Meal: 3.70 Chicken McNuggetts Meal: 3.80Chicken McNuggetts Meal: 3.80 Big Mac Value Meal: 4.79Big Mac Value Meal: 4.79 Chicken Salad: 4.80Chicken Salad: 4.80


What Do I Mean Compare What Do I Mean Compare Decimals?Decimals?

When we compare we use terms such When we compare we use terms such as:as: Less than <Less than < Greater than >Greater than > Equal to =Equal to =

Comparing decimals is similar to Comparing decimals is similar to comparing whole numbers.comparing whole numbers. 45<4745<47 150>105150>105

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


Place ValuePlace Value

1,0001,000 101000

1010 11 0.10.1 0.010.01 0.000.0011

0.0000.00011


Compare Sara’s score Compare Sara’s score with Danny’s score.with Danny’s score.

1.1. Line Up Decimal PointsLine Up Decimal Points Sara: 42.1Sara: 42.1 Danny: 42.5Danny: 42.5

2.2. Start at the left and find the Start at the left and find the first place where the digits first place where the digits differ. Compare the digitsdiffer. Compare the digits

1<5 1<5 42.1<42.542.1<42.5 This means Sara’s score This means Sara’s score

was lower than Danny’s was lower than Danny’s score.score.

SaraSara 42.142.1

DannyDanny 42.542.5

RossRoss 42.042.0

BethanBethanyy

40.740.7

JacobJacob 46.146.1

Half pipe Results


Let’s Try Using A Let’s Try Using A Number LineNumber LineSaraSara 42.142.1

DannyDanny 42.542.5

RossRoss 42.042.0

BethanyBethany 40.740.7

JacobJacob 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


Equivalent DecimalsEquivalent Decimals

Decimals that name the same Decimals that name the same number are called equivalent number are called equivalent decimals.decimals.

0.60 and 0.6 0.60 and 0.6

Are these the same???Are these the same???


0.60

0.6=


Annexing ZerosAnnexing Zeros

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

0.6 0.600.6 0.60 Although we added a zero, the Although we added a zero, the

value of the decimal did not value of the decimal did not change!!change!!

Annexing or adding zeros is useful Annexing or adding zeros is useful when ordering a group of decimals.when ordering a group of decimals.


Ordering DecimalsOrdering Decimals

We can order decimals from least We can order decimals from least to greatest or we can order from to greatest or we can order from greatest to least.greatest to least.

Let’s try an example:Let’s try an example:

Order 15, 14.95, 15.8, and 15.01 Order 15, 14.95, 15.8, and 15.01 from least to greatestfrom least to greatest


First, line up the decimal pointsFirst, line up the decimal points

1515

14.9514.95

15.815.8

15.0115.01

15, 14.95, 15.8, 15.0115, 14.95, 15.8, 15.01


15, 14.95, 15.8, 15.0115, 14.95, 15.8, 15.01

Next, annex zeros so that each Next, annex zeros so that each number has the same number of number has the same number of decimal placesdecimal places

15.0015.00

14.9514.95

15.8015.80

15.0115.01


15, 14.95, 15.8, 15.0115, 14.95, 15.8, 15.01

Finally, use place value to compare Finally, use place value to compare the decimals. Always start from the the decimals. Always start from the left!!left!!

15.0015.00

14.9514.95

15.8015.80

15.0115.01 14.95, 15, 15.01, 15.814.95, 15, 15.01, 15.8


One More ExampleOne More Example

Order these numbers from Order these numbers from greatest to leastgreatest to least

35.06, 35.7, 35.5, 35.84935.06, 35.7, 35.5, 35.849

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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