L E S S O N
Representing Numbers
Where do you see large numbers used?
Large numbers like those above can be difficult to visualize.
You can use place value to help get a better feel for large numbers.
Your teacher will give you a copy of this table.
350 000
Ten thousands
910 000
280 000
50 000
200 000
35
Thousands
Hundreds
2800
Tens
5000
Ones
Complete this table.
What patterns do you see in the completed table?
S h o w and S h a r e
Share the patterns you found with another pair of students.
What other ways can you represent large numbers?
LESSON FOCUS
Represent and describe whole numbers in different ways.
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In 2003, there were 656 792 people who attended the Womens World Cup
soccer matches.
Here are some different ways to represent that
number of people.
Use a place-value chart to show the
number 656 792:
Hundred
Thousands
Ten
Thousands
Thousands
Hundreds
Tens
Ones
600 000
50 000
6000
700
90
Every digit has a place value depending on its position.
Use expanded form to write 656 792.
Expanded form shows a number as a sum of the values of all its digits.
656 792 (6 100 000) (5 10 000) (6 1000) (7 100) (9 10) (2 1)
600 000 50 000 6000 700 90 2
Use words.
656 792 is six hundred fifty-six thousand
seven hundred ninety-two.
Use standard form.
The number 656 792 is written in
standard form.
It has space between the thousands
digit and the hundreds digit.
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We do not use the
word and when we write
or say whole numbers.
When we write numbers
with more than 4 digits in standard
form, we put a space between
groups of 3 digits.
Unit 2 Lesson 3
1. Use a place-value chart to show each number.
a) 273 190
b) 40 920
c) 738
d) 3789
2. Describe the meaning of each digit in this number:
There are 25 630 key chains in the worlds largest collection.
3. Write each number in standard form.
a)
b)
c)
d)
600 000 20 000 50 7
nine hundred fifty thousand six
sixty-three thousand five hundred twenty-nine
500 000 80 000 6000 400 20 9
Remember to use
correct spacing.
4. The digits in 134 589 are in order from least to greatest.
Write 5 different 6-digit numbers with their digits in order
from least to greatest.
5. You will need a calculator.
a) Key in 3 digits.
b)
c)
d)
e)
Record the number in the display,
then write it in expanded form.
Do not clear the display.
Key in another digit.
Record the new number,
then write it in expanded form.
Repeat part b to record a 5-digit number in expanded form.
Repeat part b to record a 6-digit number in expanded form.
What happened to the first digit you keyed in?
How did its value change as you keyed in more digits?
6. Copy and complete. Replace each with , , or .
How did you decide which symbol to use?
a) 35 937 35 397
b) 272 456 227 456
c) 456 123 456 123
d) 975 346 985 346
7. Use the digits 5, 2, 8, 3, 6, 9.
a) What is the greatest number you can make?
b) What is the least number you can make?
c) Write 4 numbers between the numbers you wrote in parts a and b.
d) Order the numbers in parts a, b, and c from least to greatest.
Unit 2 Lesson 3
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8. Write each number using words, then in expanded form.
a) 34 780
b) 40 246
c) 100 250
d) 329 109
9. Write the numbers in each fact as many ways as you can.
a) The Whistler media room reports that the lifts can carry
59 007 skiers and snowboarders per hour.
b) 597 204 people voted for mayor in the November 2006 elections.
c) The 2004 Census found that there were 186 430 children
under the age of 4 in Alberta.
10. Write the value of the red digit in each number.
a) 245 852
d) 1 000 000
b) 10 349
e) 982 748
c) 501 672
f) 34 817
11. Use the data in the table.
Province
Area in Square Kilometres
Alberta
661 848
British Columbia
944 735
Manitoba
647 797
Saskatchewan
651 036
a) Which is the largest province?
b) What is its area?
12. Mariette wrote a 6-digit number.
One digit was 0.
The other digits were odd.
No two digits were the same.
The number was the greatest number she could write
with these digits.
What number did Mariette write?
How do you know?
13. A student said 84 914 is greater than 311 902 because
8 is greater than 3.
Is the student correct?
How do you know?
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Unit 2 Lesson 3
14. Count Down to Zero!
Each of you needs a calculator.
Each of you keys in a 4-digit number.
Do not show your partner your number.
The goal of the game is to get
your partners number to 0.
Take turns.
Choose a digit, such as 9.
Say to your partner,Please give me your 9s.
If your partner has that digit in his number,
he has to tell you the number it represents.
For example, if your partners number is 9209,
he says, Ill give you nine thousand nine.
You add 9009 to your number.
Your partner subtracts 9009 from his number.
If you choose a digit your partner does not
have in his display, you miss that turn.
Play continues until one of you has
only 0 in the display.
15. What does the zero in each number tell you?
a) 40 817
b) 309 563
c) 987 034
16. Use the digits from 1 to 9 only once in each question.
a) Make a 6-digit number as close to 100 000 as possible.
b) Make a 6-digit number as close to 500 000 as possible.
c) Which number did you get closer to? How do you know?
17. Here is part of the expanded form of a number:
600 000 90 000 4000 . . .
a) What might the number be?
b) How many different numbers are possible?
How do you know?
Use numbers, words, or pictures to explain the meaning
of each digit in the number 987 564.
ASSESSMENT FOCUS
Question 16
Unit 2 Lesson 3
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