Copyright©amberpasillas2010 DECIMALS Decimal Place Value and Rounding Decimals.
3-1 Representing, Comparing, and Ordering Decimals Place value can help you understand and write and...
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3-1 Representing, Comparing, and Ordering Decimals Place value can help you understand and write and compare decimal numbers.
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Transcript of 3-1 Representing, Comparing, and Ordering Decimals Place value can help you understand and write and...
3-1 Representing, Comparing, and Ordering Decimals
Place value can help you understand and write and compare decimal numbers.
3-1 Representing, Comparing, and Ordering Decimals
Additional Example 1: Reading and Writing Decimals
Write each decimal in standard form, expanded form, and words.
A. 1.07
B. 0.03 + 0.006 + 0.0009
1 + 0.07Expanded form:
one and seven hundredthsWord form:
0.0369Standard form:
three hundred sixty-nine ten-thousandthsWord form:
3-1 Representing, Comparing, and Ordering Decimals
Additional Example 1: Reading and Writing Decimals
Write the decimal in standard form and expanded form.
C. fourteen and eight hundredths
14.08Standard form:
10 + 4 + 0.08Expanded form:
3-1 Representing, Comparing, and Ordering Decimals
Check It Out: Example 1
Write each decimal in standard form, expanded form, and words.
A. 1.12
B. 0.6 + 0.008 + 0.0007
1 + 0.1 + 0.02Expanded form:
one and twelve hundredthsWord form:
0.6087Standard form:
six thousand eighty-seven ten-thousandthsWord form:
3-1 Representing, Comparing, and Ordering Decimals
Check It Out: Example 1
Write each decimal in standard form and expanded form.
C. eleven and two hundredths
11.02Standard form:
10 + 1 + 0.02Expanded form:
3-1 Representing, Comparing, 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.
3-1 Representing, Comparing, 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.
3-1 Representing, Comparing, 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
16.60
Compare two of the numbers at a time.
Write 16.6 as “16.60.”16.60 < 16.67
16.67
16.07Start at the left and compare the digits.16.07 < 16.67
16.60
16.07Look for the first place where the digits are different.16.07 < 16.60
3-1 Representing, Comparing, and Ordering Decimals
Additional Example 3 Continued
Graph the numbers on a number line.
16.6716.07 16.6
16 16.1 16.2 16.3 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.
3-1 Representing, Comparing, and Ordering Decimals
Check It Out: Example 3
Order the decimals from least to greatest.
12.42, 12.4, 12.02
12.42
12.40
Compare two of the numbers at a time.
Write 12.4 as “12.40.”12.40 < 12.42
12.42
12.02Start at the left and compare the digits.12.02 < 12.42
12.40
12.02Look for the first place where the digits are different.12.02 < 12.40
3-1 Representing, Comparing, and Ordering Decimals
Check It Out: Example 3 Continued
Graph the numbers on a number line.
12.4212.02 12.4
12 12.1 12.2 12.3 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.
