Download 3-1 Representing Comparing and Organizing Decimals

Representing, Comparing,
3-1 and Ordering Decimals
Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes
Course 1
Representing, Comparing,
3-1 and Ordering Decimals
Warm Up
Order the numbers from least to greatest.
1. 242, 156, 224, 165
156, 165, 224, 242
2. 941, 148, 914, 814, 721
148, 721, 814, 914, 941
3. 345, 376, 354, 397
345, 354, 376, 397
Representing, Comparing,
3-1 and Ordering Decimals
Problem of the Day
Lupe is taller than Reba and shorter
than Miguel. Tory is shorter than Lupe
but taller than Reba. List the four
brothers and sisters in order from tallest
to shortest.
Miguel, Lupe, Tory, Reba
Representing, Comparing,
3-1 and Ordering Decimals
Learn to write, compare, and order
decimals using place value and number
lines.
Representing, Comparing,
3-1 and Ordering Decimals
Place value can help you understand and
write and compare decimal numbers.
Representing, Comparing,
3-1 and Ordering Decimals
Additional Example 1: Reading and Writing
Decimals
Write each decimal in standard form, expanded
form, and words.
A. 1.07
Expanded form: 1 + 0.07
Word form: one and seven hundredths
B. 0.03 + 0.006 + 0.0009
Standard form: 0.0369
Word form: three hundred sixty-nine ten-thousandths
Representing, Comparing,
3-1 and Ordering Decimals
Additional Example 1: Reading and Writing
Decimals
Write the decimal in standard form and
expanded form.
C. fourteen and eight hundredths
Standard form:
14.08
Expanded form: 10 + 4 + 0.08
Representing, Comparing,
3-1 and Ordering Decimals
Check It Out: Example 1
Write each decimal in standard form, expanded
form, and words.
A. 1.12
Expanded form: 1 + 0.1 + 0.02
Word form: one and twelve hundredths
B. 0.6 + 0.008 + 0.0007
Standard form: 0.6087
Word form: six thousand eighty-seven ten-thousandths
Representing, Comparing,
3-1 and Ordering Decimals
Check It Out: Example 1
Write each decimal in standard form and
expanded form.
C. eleven and two hundredths
Standard form: 11.02
Expanded form: 10 + 1 + 0.02
Representing, Comparing,
3-1 and Ordering Decimals
Additional Example 2: Earth Science Application
The star Wolf 359 has an apparent magnitude
of 13.5. Suppose another star has an apparent
magnitude of 13.05. Which star has the smaller
magnitude?
13.50
Line up the decimal points.
Start from the left and compare the digits.
13.05
Look for the first place where the digits are
different.
0 is less than 5.
13.05 < 13.50
The star that has an apparent magnitude of 13.05
has the smaller magnitude.
Representing, Comparing,
3-1 and Ordering Decimals
Check It Out: Example 2
Tina reported on a star for her science project
that has a magnitude of 11.3. Maven reported
on another star that has a magnitude of 11.03.
Which star has the smaller magnitude?
11.30
Line up the decimal points.
Start from the left and compare the digits.
11.03
Look for the first place where the digits are
different.
0 is less than 3.
11.03 < 11.30
The star that has a magnitude of 11.03 has the
smaller magnitude.
Representing, Comparing,
3-1 and Ordering Decimals
Additional Example 3: Comparing and Ordering
Decimals
Order the decimals from least to greatest.
16.67, 16.6, 16.07
16.67
Compare two of the numbers
at a time.
16.60 16.60 < 16.67
Write 16.6 as “16.60.”
16.67
16.07 16.07 < 16.67
16.60
16.07 16.07 < 16.60
Start at the left and compare
the digits.
Look for the first place where
the digits are different.
Representing, Comparing,
3-1 and Ordering Decimals
Additional Example 3 Continued
Graph the numbers on a number line.
16.07
16
16.1 16.2 16.3
16.6 16.67
16.4 16.5 16.6 16.7 16.8 16.9
17
The numbers are ordered when you read the number
line from left to right. The numbers in order from
least to greatest are 16.07, 16.6, and 16.67.
Representing, Comparing,
3-1 and Ordering Decimals
Check It Out: Example 3
Order the decimals from least to greatest.
12.42, 12.4, 12.02
12.42
Compare two of the numbers
at a time.
12.40 12.40 < 12.42
Write 12.4 as “12.40.”
12.42
12.02 12.02 < 12.42
12.40
12.02 12.02 < 12.40
Start at the left and compare
the digits.
Look for the first place where
the digits are different.
Representing, Comparing,
3-1 and Ordering Decimals
Check It Out: Example 3 Continued
Graph the numbers on a number line.
12.02
12
12.1 12.2 12.3
12.42
12.4
12.4 12.5 12.6 12.7 12.8 12.9
13
The numbers are ordered when you read the number
line from left to right. The numbers in order from
least to greatest are 12.02, 12.4, and 12.42.
Representing, Comparing,
3-1 and Ordering Decimals
Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems
Representing, Comparing,
3-1 and Ordering Decimals
Lesson Quiz: Part I
Write each in standard form, expanded form
and words.
1. 8.0342
8 + 0.03 + 0.004 + 0.0002; eight and
three hundred forty-two ten thousandths
2. 10 + 8 + 0.3 + 0.006
18.306; eighteen and three hundred six thousandths
3. eight and twelve hundredths
8.12; 8 + 0.1 + 0.02
Representing, Comparing,
3-1 and Ordering Decimals
Lesson Quiz: Part II
4. It takes Pluto 246.7 years to orbit the Sun, and it
takes Neptune 164.8 years. Which takes longer to
orbit the Sun?
Pluto
5. Order the decimals from least to greatest: 16.35,
16.3, 16.5.
16.3, 16.35, 16.5
Representing, Comparing,
3-1 and Ordering Decimals
Lesson Quiz for Student Response Systems
1. Which of the following represents
3.0727 in the expanded form and
words?
A. 3 + 0.07 + 0.002 + 0.0007; three and seven
hundred twenty-seven thousandths
B. 3 + 0.7 + 0.072 + 0.727; three and seven
hundred twenty-seven thousandths
C. 3 + 0.07 + 0.072 + 0.0727; three and seven
hundred twenty-seven ten-thousandths
D. 3 + 0.07 + 0.002 + 0.0007; three and seven
hundred twenty-seven ten-thousandths
Representing, Comparing,
3-1 and Ordering Decimals
Lesson Quiz for Student Response Systems
2. Which of the following represents 25 +
0.9 + 0.007 in the standard form and
words?
A. 25.907; twenty-five and nine hundred seven
thousandths
B. 25.907; twenty-five and nine hundred seven
hundredths
C. 25.97; twenty-five and ninety seven
hundredths
D. 25.97; twenty-five and nine hundred seven
thousandths
Representing, Comparing,
3-1 and Ordering Decimals
Lesson Quiz for Student Response Systems
3. Which of the following represents
‘twenty-three and six hundredths’ in the
standard form and expanded form?
A. 23.06; 20 + 3 + 0.006
B. 23.06; 20 + 3 + 0.06
C. 23.006; 20 + 3 + 0.06
D. 23.006; 20 + 3 + 0.006
Representing, Comparing,
3-1 and Ordering Decimals
Lesson Quiz for Student Response Systems
4. The atomic weight of Gallium is 69.723,
Germanium is 72.64, Copper is 63.546
and Zinc is 65.409. Which element has
the highest atomic weight?
A. Gallium
B. Germanium
C. Copper
D. Zinc
Representing, Comparing,
3-1 and Ordering Decimals
Lesson Quiz for Student Response Systems
5. Which of the following represents the
given decimals ordered from least to
greatest?
13.52, 13.3, 13.08
A. 13.08, 13.3, 13.52
B. 13.52, 13.08, 13.3
C. 13.3, 13.08, 13.52
D. 13.3, 13.52, 13.08