Transcript Lesson 1-2a

1-2
6th grade math
Comparing and Ordering Decimals
Objective
• To compare and order decimals.
• Why? To help you understand the value of all
types of numbers
California State Standards
NS 1.1 : Compare and order … decimals…
MR 1.0: Make decisions about how to approach
problems.
Vocabulary
• Decimal
- Comes from Latin word, decem, meaning 10.
Decimals’ values: Each place in a decimal is 10 times
the value to its right.
- Tenths, hundredths, thousandths, ten-thousandths,
hundred-thousandths, millionths, ten-millionths, hundredmillionths, billionths, …
How to Compare and Order Decimals
1) Make the comparing
decimals equal in ‘length’
by adding zeros to the end.
2) Now just read or compare
the numbers. The ‘bigger’
number is larger than the
other. < means less than; >
means greater than; =
means equal or same.
3) You can check your work
by comparing each place
one-by-one in the
decimals.
0.59 ___ 0.583
= 0.590 ___ 0.583
(not 59 and 583)
= 590 and 583
= 0.590 > 0.583
0.357 ___ 0.359
(same ‘length’)
0.357 __<__ 0.359
1.4357 ____ 1.3475
1.4357 __>__ 1.3475
When ordering 3 or more
decimals.
1) Be sure that all decimals are
the same ‘length’.
2a) Now just read or compare
the numbers. The ‘bigger’
number is larger than the
other. < means less than; >
means greater than; = means
equal or same.
2b) You can also line up the
number. Be SURE to line up
the decimals!
3) You can check your work by
comparing each place oneby-one in the decimals.
Order least to greatest…
0.347; 0.349; 0.336
(all decimals same ‘length’)
= 0.336, 0.347, 0.349
2.71; 2.6; 2.65
= 2.71; 2.60; 2.65
= 2.60; 2.65; 2.71
3.46; 3.7; 3.448
3.460
3.700
3.448
= 3.448; 3.460; 3.7
Try It!
Use < , > , or =
1) 18.499 ___ 8.5
2) 9.760 ___ 9.76
3) 6.35 ___ 6.357
4)
order least to greatest:
0.04; 0.93; 0.99; 0.75
1) 18.499 __>__ 8.500
2) 9.760 __=__ 9.760
3) 6.350 __<__ 6.357
4) 0.04; 0.93; 0.99; 0.75
(all the same length)
0.04
0.93
0.99
0.75
= 0.04; 0.75; 0.93; 0.99
Objective Review
• To compare and order
decimals.
• Why? You can now
compare and order
decimals. Comparing
decimals is similar to
comparing whole numbers.
Compare each place of
each number digit-by-digit.
Independent Practice
• Complete problems 516
• Copy original problem
first.
• Show all work!
• If time, complete Mixed
Review: 17-24
• If still more time, work
on Accelerated Math.