Transcript 6N3.2 compare-and-order-decimals-less-than

Compare and Order
Decimals Less Than One
6N3.2
Get ready!
• Look at the table
• Which city has the longest subway system? Explain
Compare and order decimals
•Comparing decimals is similar to comparing
whole numbers. You can use the symbols > or
< to indicate that one quantity is greater
than or less than the other.
Equivalent decimals
• Decimals that name the same number are called equivalent decimals.
• Examples are 0.8 and 0.80
equivalent means same
Remember:
•When you add zeros to the right of the
last digit in a decimal, the value of the
decimal does not change. Adding zeros
is useful when ordering a group of
decimals.
Which number is greater?
Compare 0.3 and 0.25
Rule for comparing: Always start and the left
and move right – compare values of digits as you
move.
Compare 0.3 and 0.25
• Step 1: Start at the number on the left – in this case 0
• Both digits are equal
• Step 2: Move to the next place value (tenths)
• The digits are different
• 3>5
• Therefore, 0.3 > 0.25
Compare 0.217 and 0.271
• Step 1: Start at the place value on the
left – in this case it’s 0
• Both digits are equal
• Step 2: Move to the next place value –
both digits are 2 (equal)
• Step 3: Move to the next place value –
the digits are different
•7 > 1
• Therefore, 0.271 > 0.217
You try it!
Compare the decimals. Write >, <, or =
1)
2)
3)
4)
5)
0.345
47.58
13.344
583.583
565.659
0.354
45.78
13.433
583.583
565.656
Order Decimals
• Ordering decimals follows the same rules as ordering
whole numbers
• Line up the digits and the decimal point and compare
the numbers
Example
• Order 0.91
0.9
0.87
• Line up the decimals
0.91
0.90
0.87
• Uh-oh! I have an open place value!
• No problem! Just put a 0 there to fill its
place --- it DOES NOT change the value
of the decimal.
Example 1 continued…
• Compare the numbers
0.91
0.90
0.87
0.87 is the least, then 0.90, and 0.91 is the greatest
Example 2
• Order 0.057
0.781
0.08
• Line up the decimals
0.057
0.781
0.080
• Uh-oh! I have an open place value!
• No problem! Just put a 0 there to fill its
place --- it DOES NOT change the value
of the decimal.
Example 2 continued…
• Compare the numbers
0.057
0.781
0.080
0.057 is the least, then 0.080, and 0.781 is the greatest
You try it!
Order each set from least to greatest
1)
2)
3)
0.547
0.81
0.41
0.541
0.5
0.589
0.817
0.83
0.58
Example:
• Order 15, 14.95, 15.8 and 15.01 from least to greatest.
• The order from least to greatest is 14.95, 15, 15.01 and 15.8
Check your understanding!
• Use >, <, or = to compare each pair of decimals
• 0.4
□ 0.5
• 2.7
□ 2.07
• 0.38
□ 0.35
• 25.5
□ 25.50
Practice
Order each set of decimals from least to
greatest.