Transcript Glencoe Math Connects, Course 2

Main Idea and New Vocabulary
NGSSS
Example 1: Compare Rational Numbers
Example 2: Compare Rational Numbers
Example 3: Real-World Example
Example 4: Real-World Example
Key Concept: Fraction-Decimal Equivalents
Five-Minute Check
• Compare and order fractions and decimals.
• rational numbers
• common denominator
• least common denominator
(LCD)
MA.7.A.5.1 Express rational numbers as
terminating or repeating decimals.
Compare Rational Numbers
Replace the O with <, >, or = to make
a true sentence.
O
Graph each rational number on a number line. Mark
off equal-size increments of
1
__
8
between –4 and –3.
Answer: The number line shows that
Replace the O with <, >, or = to make
a true sentence.
A. <
B. >
C. =
O
Compare Rational Numbers
Replace the O with <, >, or = to make
a true sentence.
O
The LCD of the denominators 4 and 5 is 20.
Answer:
Replace the O with <, >, or = to make
a true sentence.
A. <
B. >
C. =
O
FOOTBALL In a game against Virginia Tech,
Florida State Seminoles quarterback Christian
Ponder completed 11 out of 19 passes. The next
week against Georgia Tech, he completed 16 out
of 27 passes. Against which team did he
complete the greater fraction of his passes?
Since the denominators are large, write
as decimals and then compare.
11 ÷ 19 ≈ 0.5789
16 ÷ 27 ≈ 0.5926
and
Divide.
Answer: He completed a greater fraction of his
passes against Georgia Tech.
PENCILS In Mrs. Park’s math class, 5 out of 31
students are using mechanical pencils. In Mr.
Randazzo’s class 3 out of 27 students are using
mechanical pencils. In which class are a greater
fraction of students using mechanical pencils?
A. Mrs. Park’s class
B. Mr. Randazzo’s class
C. The fraction is the same for both classes.
List the numbers
least to greatest.
in order from
Line up the decimal points and compare using place
value.
0.70
0.72
7
__
10
= 0.7 Annex a 0.
0.72 = 0.727272
0.60
Annex a 0.
0.64
16
__
= 0.64
25
Answer: So, the order of the numbers is
Check Graph each number on a number line.
The number line confirms the order of the numbers is
correct.
List the numbers
least to greatest.
A.
B.
C.
D.
in order from
Replace the O with <, >, or = to make
O
a true statement. Use a number line if necessary.
A. <
B. >
C. =
Replace the O with <, >, or = to make
O
a true statement. Use a number line if necessary.
A. <
B. >
C. =
Replace the O with <, >, or = to make
O
a true statement. Use a number line if necessary.
A. <
B. >
C. =
Replace the O with <, >, or = to make
O
a true statement. Use a number line if necessary.
A. <
B. >
C. =
Order 0.75,
A.
, and 65% from least to greatest.
, 0.75, 65%
B. 65%,
, 0.75
C. 65%, 0.75,
D.
, 65%, 0.75
Order –3.55, –3.46, and
A. –3.55,
, –3.46
B. –3.55, –3.46,
C.
, –3.55, –3.46,
D. –3.46, –3.55,
from least to greatest.
In one litter of kittens, 2 out of 5 were male. In a
second litter, 4 out of 6 were male. Which litter
had the greater percentage of male kittens?
A. litter 1
B. litter 2
C. The ratios are equal.
D. not enough information to determine