Compare and Order Decimals Less Than One 6N3.2. Get ready! Look at the table Which city has the...
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Transcript of Compare and Order Decimals Less Than One 6N3.2. Get ready! Look at the table Which city has the...
![Page 1: Compare and Order Decimals Less Than One 6N3.2. Get ready! Look at the table Which city has the longest subway system? Explain.](https://reader036.fdocuments.us/reader036/viewer/2022070413/5697bff61a28abf838cbe09a/html5/thumbnails/1.jpg)
Compare and Order Decimals Less Than One
6N3.2
![Page 2: Compare and Order Decimals Less Than One 6N3.2. Get ready! Look at the table Which city has the longest subway system? Explain.](https://reader036.fdocuments.us/reader036/viewer/2022070413/5697bff61a28abf838cbe09a/html5/thumbnails/2.jpg)
Get ready!• Look at the table
• Which city has the longest subway system? Explain
![Page 3: Compare and Order Decimals Less Than One 6N3.2. Get ready! Look at the table Which city has the longest subway system? Explain.](https://reader036.fdocuments.us/reader036/viewer/2022070413/5697bff61a28abf838cbe09a/html5/thumbnails/3.jpg)
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.
![Page 4: Compare and Order Decimals Less Than One 6N3.2. Get ready! Look at the table Which city has the longest subway system? Explain.](https://reader036.fdocuments.us/reader036/viewer/2022070413/5697bff61a28abf838cbe09a/html5/thumbnails/4.jpg)
• Decimals that name the same number are called equivalent decimals.• Examples are 0.8 and 0.80 equivalent means same
Equivalent decimals
![Page 5: Compare and Order Decimals Less Than One 6N3.2. Get ready! Look at the table Which city has the longest subway system? Explain.](https://reader036.fdocuments.us/reader036/viewer/2022070413/5697bff61a28abf838cbe09a/html5/thumbnails/5.jpg)
•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.
Remember:
![Page 6: Compare and Order Decimals Less Than One 6N3.2. Get ready! Look at the table Which city has the longest subway system? Explain.](https://reader036.fdocuments.us/reader036/viewer/2022070413/5697bff61a28abf838cbe09a/html5/thumbnails/6.jpg)
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.
![Page 7: Compare and Order Decimals Less Than One 6N3.2. Get ready! Look at the table Which city has the longest subway system? Explain.](https://reader036.fdocuments.us/reader036/viewer/2022070413/5697bff61a28abf838cbe09a/html5/thumbnails/7.jpg)
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
![Page 8: Compare and Order Decimals Less Than One 6N3.2. Get ready! Look at the table Which city has the longest subway system? Explain.](https://reader036.fdocuments.us/reader036/viewer/2022070413/5697bff61a28abf838cbe09a/html5/thumbnails/8.jpg)
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
![Page 9: Compare and Order Decimals Less Than One 6N3.2. Get ready! Look at the table Which city has the longest subway system? Explain.](https://reader036.fdocuments.us/reader036/viewer/2022070413/5697bff61a28abf838cbe09a/html5/thumbnails/9.jpg)
You try it!
Compare the decimals. Write >, <, or =1) 0.345 0.3542) 47.58 45.783) 13.344 13.4334) 583.583 583.5835) 565.659 565.656
![Page 10: Compare and Order Decimals Less Than One 6N3.2. Get ready! Look at the table Which city has the longest subway system? Explain.](https://reader036.fdocuments.us/reader036/viewer/2022070413/5697bff61a28abf838cbe09a/html5/thumbnails/10.jpg)
Order Decimals
• Ordering decimals follows the same rules as ordering whole numbers• Line up the digits and the decimal point and compare
the numbers
![Page 11: Compare and Order Decimals Less Than One 6N3.2. Get ready! Look at the table Which city has the longest subway system? Explain.](https://reader036.fdocuments.us/reader036/viewer/2022070413/5697bff61a28abf838cbe09a/html5/thumbnails/11.jpg)
Example
•Order 0.91 0.9 0.87•Line up the decimals
0.910.900.87
•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.
![Page 12: Compare and Order Decimals Less Than One 6N3.2. Get ready! Look at the table Which city has the longest subway system? Explain.](https://reader036.fdocuments.us/reader036/viewer/2022070413/5697bff61a28abf838cbe09a/html5/thumbnails/12.jpg)
Example 1 continued…
• Compare the numbers0.910.900.87
0.87 is the least, then 0.90, and 0.91 is the greatest
![Page 13: Compare and Order Decimals Less Than One 6N3.2. Get ready! Look at the table Which city has the longest subway system? Explain.](https://reader036.fdocuments.us/reader036/viewer/2022070413/5697bff61a28abf838cbe09a/html5/thumbnails/13.jpg)
Example 2
•Order 0.057 0.781 0.08•Line up the decimals
0.0570.7810.080
•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.
![Page 14: Compare and Order Decimals Less Than One 6N3.2. Get ready! Look at the table Which city has the longest subway system? Explain.](https://reader036.fdocuments.us/reader036/viewer/2022070413/5697bff61a28abf838cbe09a/html5/thumbnails/14.jpg)
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
![Page 15: Compare and Order Decimals Less Than One 6N3.2. Get ready! Look at the table Which city has the longest subway system? Explain.](https://reader036.fdocuments.us/reader036/viewer/2022070413/5697bff61a28abf838cbe09a/html5/thumbnails/15.jpg)
You try it!
Order each set from least to greatest
1) 0.547 0.541 0.52) 0.81 0.589 0.8173) 0.41 0.83 0.58
![Page 16: Compare and Order Decimals Less Than One 6N3.2. Get ready! Look at the table Which city has the longest subway system? Explain.](https://reader036.fdocuments.us/reader036/viewer/2022070413/5697bff61a28abf838cbe09a/html5/thumbnails/16.jpg)
• 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
Example:
![Page 17: Compare and Order Decimals Less Than One 6N3.2. Get ready! Look at the table Which city has the longest subway system? Explain.](https://reader036.fdocuments.us/reader036/viewer/2022070413/5697bff61a28abf838cbe09a/html5/thumbnails/17.jpg)
• Use >, <, or = to compare each pair of decimals
• 0.4 □ 0.5
• 2.7 □ 2.07
• 0.38 □ 0.35
• 25.5 □ 25.50
Check your understanding!
![Page 18: Compare and Order Decimals Less Than One 6N3.2. Get ready! Look at the table Which city has the longest subway system? Explain.](https://reader036.fdocuments.us/reader036/viewer/2022070413/5697bff61a28abf838cbe09a/html5/thumbnails/18.jpg)
Practice
![Page 19: Compare and Order Decimals Less Than One 6N3.2. Get ready! Look at the table Which city has the longest subway system? Explain.](https://reader036.fdocuments.us/reader036/viewer/2022070413/5697bff61a28abf838cbe09a/html5/thumbnails/19.jpg)
Order each set of decimals from least to greatest.