Title: Place Value
1Place Value
- L. Riddler
- 6th Grade Mathematics
2What is a digit?
- A digit is just one number that is a part of a
number - A digit can be one of these numbers 0
1 2 3 4 5 6 7 8 9 - Sometimes people call their fingers digits
- Digits is also a slang word that means
telephone number.
936-709-7000
3Lets count the digits in these numbers
- 21
- 375
- 7
- 6,503,211
- 50
- F) 30.7
- G) 7,180
- H) 70,123.007
- I) 911
- J) 23, 004
4Lets add the digits in these numbers
- 23
- 407
- 1,234
- 2,200,256
- 96
- F) 67
- G) 593
- H) 1,000,000
- I) 96,301
- J) 81
5Lets count the number of whole number digits
- 31.5
- 300.002
- .344567
- 1,341
- 45.000001
- F) 54,461.0
- G) 67.89
- H) 111.111
- I) 34.05
- J) 45.007
6Lets count the number of decimal digits
- 31.5
- 300.002
- .344567
- 1,341
- 45.000001
F) 54,461.0 G) 67.89 H) 111.111 I) 34.05 J)
45.007
7What is place value?
- Place value is the amount assigned to a digit.
- Some important place values that we will use are
millions, hundred thousands, ten thousands,
thousands, hundreds, tens, ones, tenths, and
hundredths.
8But there are way, way, way more than that.
Undecillion Duodecillion Tredecillion
Quattuordecillion Quindecillion Sexdecillion
Septendecillion Octodecillion
Novemdecillion Vigintillion And on and on and
on Googol Googolplex And there is even bigger
numbers than that!
- Million
- Billion
- Trillion
- Quadrillion
- Quintillion
- Sextillion
- Septillion
- Octillion
- Nonillion
- Decillion
9We will need to memorize the names of the
important place values.
- Take out a piece of unlined paper.
- Fold it in half horizontally.
- Use scissors to cut 10 flaps half way through the
paper. - Look at the example to label your notes.
10Use your foldable notes to help you answer these
questions
- What is the place value of the digit that is 5?
- 345.7
- 6612.654
- 85461
- 34.5
- 3457.07
- 500671.43
- 75403462
11Now try to answer these WITHOUT your foldable
notes
Name the place value of the digit that is a zero
(0).
A) 34012.56 B) 10789541 C) 19780.99 D) 103.867 E)
34.08
F) 456.901 G) 10789 H) 4073429 I) 345601854 J) 50
- If you are having trouble (there are two or more
you CANNOT do on your own), raise your hand to
let your teacher know!
12Activity Break
- Work on activities that your teacher has selected
for you independently or in groups. - If you need help with place value, work with the
teacher in small group. - Do not interrupt the teacher unless you have a
really, really, really good reason during small
group time.
13What can I do with place value?
- You can use it put numbers in order from least to
greatest or greatest to least. - You can use it to put numbers into word form.
- You can use it to put numbers into expanded form.
14How do I put numbers in order?
- Put the following numbers in order from least to
greatest 345.04 307.04 511 307.7 417.7.
15Step One Find the number with the largest number
of digits.
- 345.04
- 307.04
- 511
- 307.7
- 417.7
Both of these numbers have 5 digits!
16Step Two Make a Chart
This chart has 5 columns because the largest
number of digits is 5. It has 5 rows because we
are comparing 5 numbers.
17Step Three Line up the Decimals
3 4 5 0 4
3 0 7 0 4
5 1 1
3 0 7 7
4 1 7 7
18Step Four Compare the Digits, Going from the
Biggest (left side) to the Smallest (right side)
- You always read the digits on a number in the
same order you read words from left to right.
3 4 5 0 4
3 0 7 0 4
5 1 1
3 0 7 7
4 1 7 7
Middle
Smallest
Biggest
Next to Smallest
Next to Biggest
19Step Five Write your numbers in the order that
is asked for in the problem.
- Least to Greatest
- 307.04
- 307.7
- 345.04
- 417.7
- 511
20Here are some practice problems that you can use
your notes to help with
- Put these in order from least to greatest
- 717
- 710
- 707
- 700.17
- 700.07
- Put these in order from greatest to least
- 1001
- 1001.5
- 100
- 100.5
- 5001.5
21Here are some problems to do without your notes
- Put these in order from greatest to least
- 5601
- 5061
- 5160
- 5161
- 5610
- Put these in order least to greatest
- 60.1
- 60.02
- 61.02
- 60.01
- 61
If you are having trouble (there are two or more
you CANNOT do on your own), raise your hand to
let your teacher know!
22Activity Break
- Work on activities that your teacher has selected
for you independently or in groups. - If you need help with ordering numbers, work with
the teacher in small group. - Do not interrupt the teacher unless you have a
really, really, really good reason during small
group time.
23What is word form?
- It is the way you say the number out loud with
all the numbers spelled out. - People write numbers in word form when they write
a check.
24Practice writing these numbers in word form
- 561 five hundred sixty one
- 1,342 one thousand three hundred forty two
- 1,789,453 one million seven hundred eighty nine
thousand four hundred fifty three - 56.45 fifty six and forty five hundredths
- 10.6 ten and six tenths
25What is expanded form?
- It looks like an addition problem with each digit
represented as its own number. - Expanded form helps explain why you can carry and
borrow when you add and subtract large numbers.
26Practice writing these numbers in expanded form
- 617 600107
- 7,846,567 7000000800000400006000500607
- 6001 60001
- 7801 70008001
- 6.12 60.10.02
27Now without your notes, write each number in
expanded form and in word form
- 511
- 50 613
- 46.2
- 7 801 678
- 3 445.16
If you are having trouble (there is one or more
you CANNOT do on your own), raise your hand to
let your teacher know!
28Activity Break
- Work on activities that your teacher has selected
for you independently or in groups. - If you need help with ordering numbers, work with
the teacher in small group. - Do not interrupt the teacher unless you have a
really, really, really good reason during small
group time.
29Vocabulary Study Guide
- Digit
- Place value
- Decimal
- Least
- Greatest
- Order
- Increasing
- Decreasing
- Expanded form
- Word form
- Standard form