Notes
Name
10/31 – 11/4
Understanding Integers
Negative integers
are the opposite of
positive integers.
Zero is neither
positive nor
negative. The
opposite of 0 is 0.
Positive integers
are also called
counting numbers.
The absolute value of an integer is the distance from that integer to
zero on the number line. Distance is always a positive measure, so the
absolute value of any integer is positive.
The distance from 0 to 7 is 7 units, so |7| = 7. The distance from 0 to −7 is 7 units, so |−7| = 7.
Comparing Integers
When comparing two integers on a number line, the integer that is
farther to the right is greater. The integer that is farther to the left is less.
Compare −6 and −10.
Compare −1 and 2.
Because −6 is farther to
the right than −10, it is
greater. So, −6 > −10.
Because 2 is farther to
the right than −1, it is
greater. So, 2 > −1.
Order −4, 0, and −7 from
least to greatest.
Because −7 is the farthest
to the left, it is the least. 0
is farther to the right than
−4, so −4 is the next least.
So, the numbers in order
from least to greatest are
−7, −4, and 0.
Plotting Negative Fractions and
Decimals
Rational Numbers on a Number Line
When comparing and ordering rational numbers on a number line, it helps to change all of the
numbers to fractions and mixed numbers or to decimals.
How do you compare rational numbers?
Compare − 1.3 3 and − 9 .
Convert
− 95
5
to a decimal so that both
numbers are in the same form.
− 95 = − 9 ÷ 5 = − 1.8
Place the numbers on a number line.
How do you order rational numbers?
Order 0.3, − 5 , and 58 from least to
greatest.
6
Convert 0.3 to a fraction so that all of
the numbers are in the same form.
3
0.3 = 10
Place the numbers on a number line.
− 1.3 3 is to the right of −1.8.
So, − 1.3 3 > −9/5.
3
10
is to the right of − 5 and
6
of 0.3.
5
8
is to the right
So, the numbers in order from least to
greatest are − 5 , 0.3, 58 .
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