Transcript Rational Numbers (3-10).

COURSE 2 LESSON 3-10
Rational Numbers
Compare – 1 and – 3 .
4
8
Method 1
Since – 3 is farther to the left on the
8
number line, it is the lesser number.
So, – 1 > – 3 .
4
8
3-10
COURSE 2 LESSON 3-10
Rational Numbers
(continued)
Method 2
– 1 = –1
4
Rewrite – 1 with a –1 in the numerator.
4
4
= –1  2
The LCD is 8. Write an equivalent fraction.
42
–2
2
2
= 8 =–8
2
–2
The fraction – 8 is equivalent to 8 .
3
1
3
Since – 8 > – 8 , then – 4 > – 8 .
3-10
COURSE 2 LESSON 3-10
Rational Numbers
Compare. Use <, >, or =.
a. 8.7 and 8.1
8.7 > 8.1
Both numbers are positive. Compare the digits.
b. –8.7 and 8.1
–8.7 < 8.1
Any negative number is less than a positive number.
c. –8.7 and –8.1
Place the decimals on a number line
and compare their locations.
–8.7 < –8.1
3-10
COURSE 2 LESSON 3-10
Rational Numbers
Order these numbers from least to greatest:
3
2
– 5 , 0.625, 3 , –0.5
3
– 5 = –3 ÷ 5 = –0.6
Write as a decimal.
2
= 2 ÷ 3 = 0.6
3
Write as a repeating decimal.
–0.6 < –0.5 < 0.625 < 0.6
Compare the decimals.
3
2
From least to greatest, the numbers are – 5 , –0.5, 0.625, 3 .
3-10
COURSE 2 LESSON 3-10
Rational Numbers
Compare. Use <, >, or =.
1. – 3
<
3. 3.4
> –3.4
4
–
4
7
2. – 1
8
4. –8.9
3-10
>
–
3
8
< –8.6