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Learn to compare and order numbers from 1 to 10,000.

1.
Comparing and Ordering Whole Numbers

Sometimes it is not easy to tell one butterfly from another. Sometimes it is difficult to tell

numbers apart, too.

To compare numbers with the same number of digits:

• Determine which has the larger first number (the digit furthest left).

For example, 420 is larger than 240 because 4 is larger than 2.

To compare numbers that have a different number of digits:

• Look at the place values of each number. The number that extends the furthest to

the left is the larger number.

For example, 240 is larger than 85 because 2 is further to the left than 8 when placed

on a place value chart. The number 2 in 240 has a higher place value.

Comparing and ordering the populations of

countries around the world involves working with

large numbers!

Ravneet and Azim noted the following numbers

from their textbook:

13 395 000 15 058 600 20 100 000

Knowledge and Employability Studio

Mathematics Numbers: Whole Numbers:

©Alberta Education, Alberta, Canada (www.LearnAlberta.ca) Comparing and Ordering Whole Numbers 1/5

Sometimes it is not easy to tell one butterfly from another. Sometimes it is difficult to tell

numbers apart, too.

To compare numbers with the same number of digits:

• Determine which has the larger first number (the digit furthest left).

For example, 420 is larger than 240 because 4 is larger than 2.

To compare numbers that have a different number of digits:

• Look at the place values of each number. The number that extends the furthest to

the left is the larger number.

For example, 240 is larger than 85 because 2 is further to the left than 8 when placed

on a place value chart. The number 2 in 240 has a higher place value.

Comparing and ordering the populations of

countries around the world involves working with

large numbers!

Ravneet and Azim noted the following numbers

from their textbook:

13 395 000 15 058 600 20 100 000

Knowledge and Employability Studio

Mathematics Numbers: Whole Numbers:

©Alberta Education, Alberta, Canada (www.LearnAlberta.ca) Comparing and Ordering Whole Numbers 1/5

2.
A place value chart, like the one below, can help order and compare the numbers

recorded by Ravneet and Azim.

Place Value

One Hundred Ten One Hundred Ten One

Hundreds Tens Ones

Billions Millions Millions Millions Thousands Thousands Thousands

1 3 3 9 5 0 0 0

1 5 0 5 8 6 0 0

2 0 1 0 0 0 0 0

2 has a value greater than 1, so 5 has a value greater than 3, so 15 058 600

20 100 000 has the greatest value. has the second greatest value.

20 100 000 > 15 058 600 > 13 395 000

Practice: Comparing and Ordering Whole Numbers

1. Bill is keeping a log of the books that he reads and the number of pages in each

book. Here is his list for the month of May:

The Macabre Incident — 1205 pages

Screaming Danger — 786 pages

Fighting Times — 876 pages

Terror Below — 1148 pages

Mission Achieved — 250 pages

Awesome Antics — 184 pages.

Put these books in order from least to greatest according to the number of pages.

Knowledge and Employability Studio

Mathematics Numbers: Whole Numbers:

©Alberta Education, Alberta, Canada (www.LearnAlberta.ca) Comparing and Ordering Whole Numbers 2/5

recorded by Ravneet and Azim.

Place Value

One Hundred Ten One Hundred Ten One

Hundreds Tens Ones

Billions Millions Millions Millions Thousands Thousands Thousands

1 3 3 9 5 0 0 0

1 5 0 5 8 6 0 0

2 0 1 0 0 0 0 0

2 has a value greater than 1, so 5 has a value greater than 3, so 15 058 600

20 100 000 has the greatest value. has the second greatest value.

20 100 000 > 15 058 600 > 13 395 000

Practice: Comparing and Ordering Whole Numbers

1. Bill is keeping a log of the books that he reads and the number of pages in each

book. Here is his list for the month of May:

The Macabre Incident — 1205 pages

Screaming Danger — 786 pages

Fighting Times — 876 pages

Terror Below — 1148 pages

Mission Achieved — 250 pages

Awesome Antics — 184 pages.

Put these books in order from least to greatest according to the number of pages.

Knowledge and Employability Studio

Mathematics Numbers: Whole Numbers:

©Alberta Education, Alberta, Canada (www.LearnAlberta.ca) Comparing and Ordering Whole Numbers 2/5

3.
2. Melba is pricing used cars. She is interested in the following models:

1994 Honda $2500.00

1999 Mazda $7850.00

1998 Datsun $5025.00

2000 Saturn $8650.00

1996 Toyota $3600.00

Place the cars in order from highest price to lowest price.

3. Jody’s social studies class is studying economics. Students were asked to form

groups and invest the same amount of pretend money in a variety of stocks. Jody’s

group selected 6 different stocks and, by the end of the activity, had earned the

following amounts of money:

Investment 1 $ 7635.00

Investment 2 $ 17 672.00

Investment 3 $ 92 450.00

Investment 4 $ 6892.00

Investment 5 $ 89 032.00

Investment 6 $ 28 782.00

Which investment was the best choice during this period of time?

Which was the poorest choice?

List the investments in order from the one that made the least amount of money to

the one that made the greatest amount of money.

Knowledge and Employability Studio

Mathematics Numbers: Whole Numbers:

©Alberta Education, Alberta, Canada (www.LearnAlberta.ca) Comparing and Ordering Whole Numbers 3/5

1994 Honda $2500.00

1999 Mazda $7850.00

1998 Datsun $5025.00

2000 Saturn $8650.00

1996 Toyota $3600.00

Place the cars in order from highest price to lowest price.

3. Jody’s social studies class is studying economics. Students were asked to form

groups and invest the same amount of pretend money in a variety of stocks. Jody’s

group selected 6 different stocks and, by the end of the activity, had earned the

following amounts of money:

Investment 1 $ 7635.00

Investment 2 $ 17 672.00

Investment 3 $ 92 450.00

Investment 4 $ 6892.00

Investment 5 $ 89 032.00

Investment 6 $ 28 782.00

Which investment was the best choice during this period of time?

Which was the poorest choice?

List the investments in order from the one that made the least amount of money to

the one that made the greatest amount of money.

Knowledge and Employability Studio

Mathematics Numbers: Whole Numbers:

©Alberta Education, Alberta, Canada (www.LearnAlberta.ca) Comparing and Ordering Whole Numbers 3/5

4.
4. Find a partner to work with. Each of you needs a copy of the charts below.

The Challenge: Race to the finish!

The first person to fill in both charts correctly wins the race. Compare your answers

with your partner. Discuss and correct any errors.

Complete the following chart by filling in the number that belongs in each place value.

Place Value

Hundred Ten One Hundred Ten One

Millions Millions Millions Thousands Thousands Thousands Hundreds Tens Ones

2500 2 5 0 0

10 300

1 650 975

840 000

3 000 000

210 000 000

52 000

Place the values in order from LEAST to GREATEST in the chart below. Be sure to

include the example.

Least Greatest

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Mathematics Numbers: Whole Numbers:

©Alberta Education, Alberta, Canada (www.LearnAlberta.ca) Comparing and Ordering Whole Numbers 4/5

The Challenge: Race to the finish!

The first person to fill in both charts correctly wins the race. Compare your answers

with your partner. Discuss and correct any errors.

Complete the following chart by filling in the number that belongs in each place value.

Place Value

Hundred Ten One Hundred Ten One

Millions Millions Millions Thousands Thousands Thousands Hundreds Tens Ones

2500 2 5 0 0

10 300

1 650 975

840 000

3 000 000

210 000 000

52 000

Place the values in order from LEAST to GREATEST in the chart below. Be sure to

include the example.

Least Greatest

Knowledge and Employability Studio

Mathematics Numbers: Whole Numbers:

©Alberta Education, Alberta, Canada (www.LearnAlberta.ca) Comparing and Ordering Whole Numbers 4/5

5.
5. Place the numbers in order from LEAST to GREATEST.

a. 2340 3564 2198 2975 3529

b. 23 642 23 562 21 728 20 953 32 529

c. 312 320 431 565 426 190 322 112 398 945

6. Place the numbers in DECREASING ORDER.

a. 1 435 612 3 100 395 3 099 875 1 299 580 2 355 315

b. 63 745 324 63 345 743 73 126 843 61 737 843 72 513 853

c. 3 435 612 5 100 395 5 099 875 3 299 580 4 355 315

Knowledge and Employability Studio

Mathematics Numbers: Whole Numbers:

©Alberta Education, Alberta, Canada (www.LearnAlberta.ca) Comparing and Ordering Whole Numbers 5/5

a. 2340 3564 2198 2975 3529

b. 23 642 23 562 21 728 20 953 32 529

c. 312 320 431 565 426 190 322 112 398 945

6. Place the numbers in DECREASING ORDER.

a. 1 435 612 3 100 395 3 099 875 1 299 580 2 355 315

b. 63 745 324 63 345 743 73 126 843 61 737 843 72 513 853

c. 3 435 612 5 100 395 5 099 875 3 299 580 4 355 315

Knowledge and Employability Studio

Mathematics Numbers: Whole Numbers:

©Alberta Education, Alberta, Canada (www.LearnAlberta.ca) Comparing and Ordering Whole Numbers 5/5