Comparing Decimals

1
Comparing Decimals

• By Erica M. Aragon

2
Equivalent Decimals

• 078 is the same as 78.
• The zero in the hundreds place isn't needed.
• The number still has no hundredths, 7 tens and 8
  ones.
• 5.4 is the same as 5.40
• The zero at the end is not necessary.
• The number still has 5 ones, 4 tenths, and no
  hundredths.

3
Examples

• 0.65
• 0.650
• 0.6500
• 0.65000
• 0.650000

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Zeros

• You may add as many zeros left of digits that are
  before a decimal.
• You may also add as many zeros as you want right
  of the digits after the decimal.
• 000032.456000 032.456 32.456 32.4560000
  These all have 3 tens,, 2 ones, 4 tenths, 5
  hundredths and 6 thousandths.

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Examples

• 0.05
• 0.005
• 0.0005
• 0.00005
• 0.05000

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Check This OUT

• .
• Larger Smaller

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Percents

• 0.450 45
• 0.06 6
• 0.345 34.5
• 0.0007 0.07
• 0.3 30

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Try These

• 0.56
• 5.89
• 0.06
• 0.0008
• 45.67

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Try These

• 0.456
• 0.9
• 0.67
• 0.03
• 0.5789

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Examples

• 0034.56000
• 034.56000

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Meaning of Zero

• 0.42 is the same as .42,
• however if there is no whole part (ones, tens,
  etc..) in a number
• a single zero in front of the decimal is proper.

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Comparing and Ordering

• What does it mean to compare?

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Compare and Order

• Buenos Aires, Argentina
• Estimated population of 12.23 million people
• Rio de Janerio, Brazil
• Estimated population of 12.79

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Number Line
0 0.5 1
15
Number Line
0.75
0.25
0 0.5 1
16
Number Line
0.60 0.70 0.80 0.90
0.10 0.20 0.30 0.40
0 0.5 1
17
Number Line
0.60 0.70 0.80 0.90
0.10 0.20 0.30 0.40
0 0.5 1
18
Number Line
0.06 0.07 0.08 0.09
0.01 0.02 0.03 0.04
0 0.05
0.10
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Number Line
0.006 0.007 0.008 0.009
0.001 0.002 0.003 0.004
0 0.005
0.01
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Compare and Order

• Look at the whole numbers
• Which one is greater of the whole numbers?
• How can we compare them?
• Lets Draw a Model

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Example

• Put these numbers in order from the largest to
  the smallest.0.32, 0.203, 0.03, 0.3

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Greater Than and Less Than

• The symbol lt is read less than
• 4lt56
• The symbol gt is read greater than.
• 300 gt 52

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Inequality Signs

• gt greater than
• lt less than
• equal
• greater than

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Inequality Signs

• gt greater than
• lt less than
• equal
• greater than or equal
• less than or equal
• almost equal to, congruent
• ? not equal to

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Comparing or Ordering

• 1) Line up the decimal2) Fill in
  zerosFollowing these procedures, will assist you
  in comparing all places in the number system from
  tenths to hundredths and infinity.