Comparing & Ordering Rational

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Transcript Comparing & Ordering Rational

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Objective
Compare and order rational numbers
Vocabulary
No new vocabulary
Math Symbols
<
less than
>
greater than
Example 1 Compare Rational Numbers
Example 2 Compare Negative Rational Numbers
Example 3 Order Rational Numbers
Replace
with <, >, or
to make
a true sentence.
Write problem placing a circle
between the numbers for the answer
Using calculator, convert each
fraction to a decimal
3
8
7
13
ENTER
ENTER
0.42857…
Line decimals up
0.61538…
1/3
Replace
3
8
7
13
Answer:
<
with <, >, or
to make
ENTER
0.42857…
ENTER
0.61538…
a true sentence.
Since whole number is zero
in each compare the place
value of the first digit to the
right of the decimal
They are not the same
number so compare 4 and 6
4 is less than 6 so
than
1/3
is less
Replace
with <, >, or
to make
a true sentence.
Answer:
1/3
Replace with <, >, or
sentence.
to make
a true
Write problem placing a circle
between the numbers for the answer
Using calculator, convert each
fraction to a decimal
- 6.70
6.7
3
4
ENTER
- 6.75
Line decimals up remembering
to include the whole numbers -6
Since the whole number is the same, and the number to
the right of the decimal is the same compare the next
place value to the right by annexing a zero
2/3
Replace with <, >, or
sentence.
to make
a true
They are not the same
number so compare 0 and 5
-5 is less than 0 so
- 6.70
6.7
3
4
ENTER
Answer:
>
less than -67
- 6.75
Remember to write the
answer using the original
numbers
2/3
is
Replace with <, >, or
sentence.
to make
a true
Answer:
2/3
Substance
CHEMISTRY The values for the
approximate densities of
various substances are shown
in the table. Order the densities
from least to greatest.
5
2 +1
4
ENTER
2 +3
5
ENTER
1 +4
aluminum
2.7
beryllium
1.87
brick
crown glass
Write each fraction as a decimal.
ENTER
Density
(g/cm3)
fused silica
marble
1.80
2.25
nylon
1.1
pyrex glass
2.32
rubber neoprene
2.60
3/3
Substance
Write all numbers in vertical order lining
up the decimals and round to the
hundredth place value
2.70
1.87
1.80
2.25
2.22 . . .
2.60
1.10
2.32
1.33 . . .
Density
(g/cm3)
aluminum
2.7
beryllium
1.87
brick
crown glass
fused silica
marble
nylon
1.1
pyrex glass
2.32
rubber neoprene
3/3
Order beginning with the smallest one’s place value which is 1
Substance
Next order the 2’s
Answer:
1.1, 1.3,
, 2.32,
, 1.87, 2.2,
, 2.7
Density
(g/cm3)
2.70
1.87
aluminum
2.7
beryllium
1.87
1.80
brick
2.25
crown glass
2.22 . . .
fused silica
2.60
marble
1.10
2.32
1.33 . . .
nylon
1.1
pyrex glass
2.32
3/3
rubber neoprene
*
AMUSEMENT PARKS The ride times for five amusement
park attractions are shown in the table below. Order the
lengths from least to greatest.
Coaster
Ride Time
(min)
Big Dipper
Double Loop
1.5
Mind Eraser
1.8
Serial Thriller
X–Flight
Answer:
3/3
Lesson 2:2
Assignment
Comparing & Ordering
Rational
Numbers
12 - 32 All