Math 6 Unit 02 Notes - Decimals Worksheet Page 3

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Math 6 Unit 02 Notes – Decimals
5.3 −2
Example:
1.4
2.8
3.9
2.0
-2
-1
x
0
1
2
3
4
5
6
Solution:
−2 1.4, 2.0, 2.8, 3.9, 5.3
,
-2
-1
x
0
1
2
3
4
5
6
Graph the following rational numbers on the number line. Then, list the numbers in order from greatest
to least. Write an inequality statement about the two negative numbers.
Example:
1.25, 2.75, -0.5, 0.65, -1.5
-1
x
0
1
2
3
Solution:
1 25 2 75 0 65
.
, .
, .
,
0 5
. ,
1 5
.
x
-2
-1
0
1
2
3
> −
< −
0.5
1.5
or
1.5
0.5
Another way to compare decimal numerals:
1)
Write the decimals so that each decimal numeral has the same
number of digits (add zeros if needed).
2)
Forget about the decimal point; the largest number will be the
largest decimal numeral.
Example:
Which is larger .8032 or .82?
Add 2 zeros to .82 so both numbers will have 4 digits to the right
of the decimal point.
.8032 and .8200
now both have 4 digits to the right of the
decimal point (or we can say both are now expressed to the ten-thousandths
place).
Since 8200 is larger than 8032, then .82 > .8032
Example:
Compare .62 and .547 using <, =, or >.
Although students should see that the 6 in the tenths place is greater
than the 5 in the tenths place, some do not.
Add one zero to .62 so
both numbers will have 3 digits to the right side of the decimal
Math 6 NOTES
Unit 02: Decimals
Page 3 of 19
2014-15 -NVACS

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