Unit 1Math 5

Lesson 1

Math 5 1-1

Nobel Prize

Each year since 1901 a committee awards the Nobel Prizes. The prizes go to individuals or groups that show outstanding achievement in the areas of:

physics•

chemistry•

economics•

physiology or medicine•

literature •

peace •

Most prizes are awarded at ceremonies in Stockholm, Sweden. The Peace Prize is awarded in Oslo, Sweden.

In 1895 Alfred Nobel left his wealth to establish these awards. Invitations to nominate people or groups are sent to thousands of members of academies, universities, scientists and others every year. Each person given this award receives a medal, personal diploma and a cash award. In the year of 2007 the cash award was 10 000 000 SEK (Swedish Kronor) or about 1 600 000 Canadian dollars.

Numbers Large and Small

Front Back

Unit 1Math 5 Lesson 1: Numbers Large and Small

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One winner of the Nobel Prize for Peace is Betty Williams. She witnessed an act of hatred and began collecting signatures on a petition for peace. She collected 6 000 signatures and then led a peaceful protest march of 10 000 people. She led a second peaceful protest march one week later of 35 000 people. She became the co-founder of the Ireland Peace Movement. Her act of peace has changed many lives.

There are a lot of large numbers in the information above.

Objectives for this Lesson

In this lesson you will explore the following concepts:

Write a given numeral, using proper spacing•

Describe the pattern of adjacent place positions, moving • from right to left

Provide examples of large numbers used in print • or electronic media

Base Ten System

The system that is used for writing numbers is a base ten system.

ReflectionReflection

How do you write large numbers? How do you know the size of the numbers?

Unit 1Math 5 Lesson 1: Numbers Large and Small

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In the Base Ten System you use ten symbols called digits. These digits are 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. When you write numbers in the base tensystemeachofthedigitshasaspecificvalue.Thisvalueisdetermined by its position or “place” in the number. That is why you call it a Place Value System. When you write a number using the numerals 0 through 9 it is called standard form.

Example 1

Write the number in standard form:

Onemillion,threehundredseventy-twothousand,ninehundredfifty-six

The number one million, three hundred seventy-two thousand, nine hundredfifty-sixiswritten1372956instandardform.

ReflectionReflection

Why is our number system based on the number 10?

Millions Hundred

ThousandsTen

ThousandsThousands Hundreds Tens Ones

1 3 7 2 9 5 6

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Eachplacehasaspecificvalue.

When you write larger numbers like this, leave a blank space in between each group of 3 digits. A single space is placed between these groups to identify the thousands and millions. Beginning with the digit in the ones place, you count 3 places and leave a space before writing the next 3 numbers.

Example 2

Write 2347564 in standard form.

You would begin with the digit in the ones place, which is the number 4.

2347564

Start at the far right and count three places to the left.

2347 | 564

You would leave a space between the number 5 and 7.

2347 564

Number Place Value

1 Millions 1 000 000

3 Hundred Thousands 300 000

7 Ten Thousands 70 000

2 Thousands 2 000

9 Hundreds 900

5 Tens 50

6 Ones 6

Unit 1Math 5 Lesson 1: Numbers Large and Small

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You would then begin with the number 7 and count 3 places to the left. Leave a space between the number 3 and 2.

2 | 347 564

Your written number would look like this: 2 347 564

Now It’s Your Turn

Write each of the following in standard form.

a. fivemillion,ninehundredeighty-twothousand,fivehundred seventy-six

b. 1300500

c. 238406

Solutions

a. 5 982 576

b. 1 300 500

c. 238 406

In your Workbook go to Unit 1, Lesson 1 and complete 1 to 9.•

Let’s PracticeLet’s Practice

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The Pattern of Place Positions

You may have noticed a pattern in Example 1 that is based on the number 10. Each of the places has a value that is 10 times the value of the number to the right of it. An example would be that 100 is 10 times as much as 10.

As you can see from the values that go with each place, starting on the right with 1, you simply multiply by 10 to get the value of the next position.

In your Workbook go to Unit 1, Lesson 1 and complete 10 to 12.•

Let’s PracticeLet’s Practice

Place Millions Hundred

ThousandsTen

ThousandsThousands Hundreds Tens Ones

Value 1 000 000 100 000 10 000 1 000 100 10 1

x 10 x 10 x 10 x 10 x 10 x 10

Unit 1Math 5 Lesson 1: Numbers Large and Small

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Exploration 1: Create Large Numbers

Materials: Unit 1, Lesson 1, Exploration 1 page from your Workbook, 2 sets number cards (0 - 9)

1. Mix the card sets and place them face down in a stack. Draw three cards and place them in random order.

Write the number in Place Value Chart A on your Workbook page.

Can you rearrange the three cards to make it a larger number? If so, rearrange the cards and then write the number beside your original answer for number 1. 2. Draw one card from the stack and place it at the end of the three

digit number. Write the number in Place Value Chart B on your Workbook page.

What place could you have put it in to make the largest possible number?

Rearrange the numbers and then write the number beside your original answer for number 2. 3. Draw one card from the stack and place it at the end of the four

digit number. Write the number in Place Value Chart C on your Workbook page.

What place could you have it in to make the largest possible number?

Rearrange the number and then write the number beside your original answer for number 3.

Let’s ExploreLet’s Explore

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4. Put all of the cards back together. Using all of the cards choose the fivethatwillmakethelargestfivedigitnumber.Placetheminthecorrect order and then write the number in Place Value Chart D. Label all of the place values also.

5. Put all of the cards back together. Using all of the cards choose the fivethatwillmakethesmallestfivedigitnumber.Placetheminthecorrect order and then write the number in Place Value Chart E.

Large Numbers in Print and Electronic Media

Asyouread,research,orstudyyouwillfindlargenumbersinmanyareas.Everydaylifeisfilledwithstockmarketstatistics,agriculturalresults and even the Census of Canada, to name a few.

Earth Hour: Global Initiative to Cut Power Consumption

Tomorrow evening Daksha Singh is going to take a walk. At 8 p.m., this youngstudent and budding business leader will turn off all of the energy eatingnon-essential appliances in his family’s home in suburban Calgary.Every computer, TV, and clock radio will go dark for an hour. Mr. Singh says heplans to “go for a walk” during that time.

Even at his young age, Mr. Singh is already a student school trustee and nomineefor the Alberta Green Award. He is one of more than 240,000 people and 17,000businesses all over the planet who will take part in Earth Hour. This initiative iscalling for the reduction of power usage for 60 minutes. You can bet that manymore will join in before the appointed hour tomorrow.

Source: The Edmonton Tribune

March 28, 2008 at 9:36 AM MST

Unit 1Math 5 Lesson 1: Numbers Large and Small

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In a small portion of this article you can see 2 large numbers:

240,000 people

17,000 businesses

In standard form:

240 000 people

17 000 businesses

Large numbers are found in many types of media. There are newspapers, magazines, encyclopaedias, and endless Internet resources.

Example 3

OntheInternet,findthreeexamplesoflargenumbersineverydaylife,using the Statistics Canada website.

Log on to Statistics Canada www.statcan.ca

Searchtofindlargenumbers.Describeyournumber,namethenumberin standard form, and name the source of the number.

Description Number Source

2006 Canadian Census population 31 612 867 www.statcan.ca

Number of Canadian households in 2006 12 700 000 www.statcan.ca

Number of farms in Canada in 2001 246 923 www.statcan.ca

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Exploration 2: Large Numbers and Place Value

Materials: Unit 1, Lesson 1, Exploration 2 page from your Workbook, Magazine of your choice, Scissors, Tape or glue

Use the magazine to answer the following problems:

1. Find a number with three digits. Cut it out and glue or tape it following number 1 on your Workbook page. Circle the number in the tens place.

2. Find a number with four digits. Cut it out and glue or tape it following number 2. Circle the number in the thousands place.

3. Find a number with four digits. Cut it out and glue or tape it following number 3. Circle the number in the hundreds place.

4. Find a number with four digits. Cut it out and glue or tape it following number 4. Circle the number in the ones place.

5. Findanumberwithfivedigits.Cutitoutandglueortapeitfollowingnumber 5. Circle the number in the tens place and underline the number in the ten thousands place.

Let’s ExploreLet’s Explore

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In your Workbook go to Unit 1, Lesson 1 and complete 13 to 21.•

Go online to complete the Concept Capsule: Super Large Numbers.

Let’s PracticeLet’s Practice

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