Transcript Whole Numbers and Decimals

Whole Numbers
and Decimals
Lesson 1.1
Page 4-5
Lesson 1.1:
pg. 5, # 6-19
09/22/08
09/22/08
Lesson 1.1:
Whole Numbers & Decimals (pg. 4-5)
Standards:
7L
7R
CA Content Standards
• Number Sense 1.1, Grade 5: We manipulate
very large (e.g. millions) and very small (e.g.
thousandths) numbers.
• Mathematical Reasoning 1.0: We make
decisions about how to approach problems.
Lesson 1.1:
pg. 5, # 6-19
09/22/08
09/22/08
Lesson 1.1:
Whole Numbers & Decimals (pg. 4-5)
Standards:
Vocabulary:
7L
7R
Vocabulary:
WHOLE NUMBER
• AKA: a counting number.
• One of the complete numbers (1, 2, 3, …) or
zero.
Vocabulary:
DECIMAL
• A symbol (.) used to demonstrate that a
number is a fraction or not complete.
• The opposite of a whole number.
• For example: 1.5, 8.77, 9.201
Vocabulary:
PLACE VALUE CHART
• A tool used to organize numbers.
• The chart shows the order and names of the
places for a number.
Vocabulary:
STANDARD FORM
• Use one or more of the digits 0, 1, 2, 3, 4, 5, 6,
7, 8, or 9 to write a number.
• Example: 1,023
Vocabulary:
SHORT WORD FORM
• Use the words billions, millions, thousands,
etc. to write a number.
• Use the word ‘and’ to represent the decimal.
• Example: 1 thousand, 23
Vocabulary:
EXPANDED FORM
• Break the number down into each digit and
use addition signs.
• Example: 1000 + 20 + 3
Lesson 1.1:
pg. 5, # 6-19
09/22/08
09/22/08
Lesson 1.1:
Whole Numbers & Decimals (pg. 4-5)
Standards:
Vocabulary:
Objective:
7L
7R
Objective:
• Use place value to understand whole numbers to
the billions and decimals to the hundredthousandths.
• Math Link: You know how to use place value
with numbers like 257 and 0.3 Now you will learn
how place value can help you understand large
whole numbers and decimals.
Lesson 1.1:
pg. 5, # 6-19
09/22/08
09/22/08
Lesson 1.1:
Whole Numbers & Decimals (pg. 4-5)
Standards:
Vocabulary:
Objective:
Notes/ Examples:
7L
7R
Millionths
Hundred-thousandths
Ten-thousandths
ONES
Thousandths
Hundredths
Tenths
Ones
THOUSANDS
Tens
Hundreds
Thousands
Ten Thousands
MILLIONS
Hundred Thousands
Millions
Ten millions
BILLIONS
Hundred millions
Billions
Ten billions
Hundred billions
Place Value Chart
DECIMALS
3
6
2 Ten-thousandths
.
0
0
0
2
5
Millionths
Hundred-thousandths
Ten-thousandths
ONES
Thousandths
Hundredths
Tenths
Ones
THOUSANDS
Tens
Hundreds
Thousands
Ten Thousands
MILLIONS
Hundred Thousands
Millions
Ten millions
BILLIONS
Hundred millions
Billions
Ten billions
Hundred billions
Example 1.
• Write the value of the 2 in 36.00025 in short word
form.
DECIMALS
Ten millions
Millions
Hundred Thousands
3
4
6
2
9
4
5
8
6
5 Hundreds
0 Thousandths
.
9
2
0
Millionths
Hundred-thousandths
Ten-thousandths
ONES
Thousandths
Hundredths
Tenths
Ones
THOUSANDS
Tens
Hundreds
MILLIONS
Thousands
BILLIONS
Ten Thousands
Hundred millions
Billions
Ten billions
Hundred billions
Example 2.
• Write the value of the 5 and the 0 in
346,294,586.920 in short word form.
DECIMALS
Ten millions
Millions
Hundred Thousands
3
4
1
9
8
4
6
5
4
4 Ten millions
4 Thousands
4 Ones
Millionths
Hundred-thousandths
Ten-thousandths
ONES
Thousandths
Hundredths
Tenths
Ones
THOUSANDS
Tens
Hundreds
MILLIONS
Thousands
BILLIONS
Ten Thousands
Hundred millions
Billions
Ten billions
Hundred billions
Example 3.
• Write the value of the 4 in 341,984,654 in short
word form.
DECIMALS
1
4
4
6 Ten-thousandths
.
0
0
8
6
Millionths
Hundred-thousandths
Ten-thousandths
ONES
Thousandths
Hundredths
Tenths
Ones
THOUSANDS
Tens
Hundreds
Thousands
Ten Thousands
MILLIONS
Hundred Thousands
Millions
Ten millions
BILLIONS
Hundred millions
Billions
Ten billions
Hundred billions
Example 4.
• Write the value of the 6 in 144.0086 in short word
form.
DECIMALS
Example 5.
• An African, male elephant weighs about 15, 400
pounds.
0
0
3. Write this number in standard form.
1. What is the value of the 5?
15,400
5 thousands
4. Write this number in short
word form.
2. What is the value of the 0?
15 thousand, 400
o tens or 0form.
ones
5. Write this number in expanded
10,000 + 5,000 + 400
Millionths
Hundred-thousandths
Ten-thousandths
Thousandths
Hundredths
Tenths
4
DECIMALS
Ones
5
Tens
Hundreds
Ten Thousands
1
ONES
Thousands
THOUSANDS
Hundred Thousands
Millions
Ten millions
MILLIONS
Hundred millions
Billions
Ten billions
Hundred billions
BILLIONS
Example 6.
• The number of people living on Earth grows daily.
Right now, the population is 6, 035, 479, 518.
7
1
Millionths
Hundred-thousandths
Ten-thousandths
Thousandths
5
Hundredths
9
Tenths
4
DECIMALS
Ones
5
Tens
3
Hundreds
Hundred Thousands
0
ONES
Thousands
Millions
6
Ten Thousands
Ten millions
THOUSANDS
Hundred millions
MILLIONS
Billions
Ten billions
Hundred billions
BILLIONS
8
3. Write this number in standard form.
6,035,479,518
1. What is the value of the 3?
4. Write this number in short
form.
3 Ten word
millions
billion, 35 million, 479 thousand, 518
2. What is the value of the68?
5. Write this number in expanded
8 Ones form.
6,000,000,000 + 30,000,000 + 5,000,000 + 400,000 + 70,000 + 9,000 + 500 + 10 + 8
Lesson 1.1:
pg. 5, # 6-19
09/22/08
09/22/08
Lesson 1.1:
Whole Numbers & Decimals (pg. 4-5)
Standards:
Vocabulary:
Objective:
Notes/ Examples:
Moral of the Story:
[Tape ‘Place Value Chart’ here].
7L
7R
The Moral of the Story
• A place-value chart can help you read and
understand very large and very small numbers.
Independent Practice
• On your place value chart, create a challenging
number.
• On the L side of your notebook, find the standard,
short word, and expanded forms of your number.
• Trade place value charts with a table partner (do not
give them the answer in your notebook).
• Partners, use the clue from your partner to identify
the standard, short word, and expanded forms of
his/her number.
• Return to the author, so he/she may check if it is
correct.
Math Minute # 1
①6 x 3 =
② How many ears do eight dogs have in all?
③ If n + 2 = 7, then n=
④ There were eight bugs on the ground.
Now there are six. How many flew away?
⑤ 2 x 3 x 2=
Math Minute # 1
Continued
⑥ 4 x 6 + ___ = 31
⑦ 3, 6, 9, 12, ___, ___, ___
⑧ Seven bicycles have ___ wheels in all.
Use <, >, or = for 9 and 10.
⑨ 3 weeks ___ 20 days
⑩ 1 cm ___ 1 inch