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Learn to write numbers in expanded form.

1.
Practice Test – Number Sense

Write these numbers in expanded form.

Write these numbers using expanded notation.

(1 . 10,000,000)+(5 . 1,000,000)+(8 . 100,000)+(2 . 10,000)+(3 . 1,000)+(7 . 1)

(2 . 100,000)+(9 . 10,000)+(4 . 1,000)+(9 . 100)+(1 . 10)+(8 . 1)

Write this number in word form.

Twenty-five million one hundred sixty thousand three hundred five

Write these numbers in short word form.

412 thousand 568

2 million 734 thousand 652

Write these numbers in standard form.

200,000,000 + 10,000,000 + 3,000,000 + 500,000 + 30,000 + 9,000 + 500 + 60 + 4

Write these numbers in expanded form.

Write these numbers using expanded notation.

(1 . 10,000,000)+(5 . 1,000,000)+(8 . 100,000)+(2 . 10,000)+(3 . 1,000)+(7 . 1)

(2 . 100,000)+(9 . 10,000)+(4 . 1,000)+(9 . 100)+(1 . 10)+(8 . 1)

Write this number in word form.

Twenty-five million one hundred sixty thousand three hundred five

Write these numbers in short word form.

412 thousand 568

2 million 734 thousand 652

Write these numbers in standard form.

200,000,000 + 10,000,000 + 3,000,000 + 500,000 + 30,000 + 9,000 + 500 + 60 + 4

2.
Seven hundred forty-three million two hundred six thousand five hundred eleven

982 million 35 thousand 621

(9 • 10,000,000) + (7 • 1,000,000) + (8 • 100,000) + (4 • 1,000) + (2 • 100) + (1 • 1)

Three million seventy-eight

500,000 + 10,000 + 9

23 million 43 thousand 8

(1 • 100,000,000) + (2 • 10,000,000) + (8 • 1,000,000) + (4 • 10,000) + (3 • 100) + (7 • 10)

The Student Council has a “Guessing Jar” filled with jellybeans. The person who has the closest

guess is the winner. Mrs. Nikirk counts all of the jellybeans and finds that there are 2,134. She

decides to round this number to the nearest 10 (2,130). Was this a good idea? Explain your

It would not be a good idea for the person running the contest to round. I know this because

if someone guesses 2,130 they would win over someone who guessed 2,134 which is the

exact amount. This would not be fair to the person who guessed the exact amount if

someone else won because the number was rounded.

982 million 35 thousand 621

(9 • 10,000,000) + (7 • 1,000,000) + (8 • 100,000) + (4 • 1,000) + (2 • 100) + (1 • 1)

Three million seventy-eight

500,000 + 10,000 + 9

23 million 43 thousand 8

(1 • 100,000,000) + (2 • 10,000,000) + (8 • 1,000,000) + (4 • 10,000) + (3 • 100) + (7 • 10)

The Student Council has a “Guessing Jar” filled with jellybeans. The person who has the closest

guess is the winner. Mrs. Nikirk counts all of the jellybeans and finds that there are 2,134. She

decides to round this number to the nearest 10 (2,130). Was this a good idea? Explain your

It would not be a good idea for the person running the contest to round. I know this because

if someone guesses 2,130 they would win over someone who guessed 2,134 which is the

exact amount. This would not be fair to the person who guessed the exact amount if

someone else won because the number was rounded.

3.
Make the 6 largest and 6 smallest numbers using these digits: 9 5 1 8 6

Largest Smallest

1. 98,651 1. 15,689

2. 98,615 2. 15,698

3. 98,561 3. 15,869

4. 98,516 4. 15,896

5. 98,165 5. 15,968

6. 98,156 6. 15,986

Put these in order from smallest to largest. Put a “1” next to the smallest number and a “4”

next to the largest.

549,023,172 3

54,182,991 2

549,230,172 4

45,324,000 1

Largest Smallest

1. 98,651 1. 15,689

2. 98,615 2. 15,698

3. 98,561 3. 15,869

4. 98,516 4. 15,896

5. 98,165 5. 15,968

6. 98,156 6. 15,986

Put these in order from smallest to largest. Put a “1” next to the smallest number and a “4”

next to the largest.

549,023,172 3

54,182,991 2

549,230,172 4

45,324,000 1

4.
Use this number for all of the questions on this page.

435,079,996

What is the value of the 5?

Which digit is in the ten thousands place?

What is the value of the 3?

What is the value of the 0?

Round this number to the nearest 100,000.

Round this number to the nearest 100.

Round this number to the nearest 10,000,000.

Round this number to the nearest 100,000,000.

Describe how you rounded.

First I underlined the place value that I was rounding to. Next I circled the right hand man. If

the circled number was 5 or above I gave it a shove. If it was 4 or below I kept it low. If it was

a rolling 9 I continued to roll until I reached a place value where I was able to round. Finally I

made all the numbers to the right of the newly rounded number zeros.

Which three digits are in the millions period?

What is 400,000 more than this number?

435,079,996

What is the value of the 5?

Which digit is in the ten thousands place?

What is the value of the 3?

What is the value of the 0?

Round this number to the nearest 100,000.

Round this number to the nearest 100.

Round this number to the nearest 10,000,000.

Round this number to the nearest 100,000,000.

Describe how you rounded.

First I underlined the place value that I was rounding to. Next I circled the right hand man. If

the circled number was 5 or above I gave it a shove. If it was 4 or below I kept it low. If it was

a rolling 9 I continued to roll until I reached a place value where I was able to round. Finally I

made all the numbers to the right of the newly rounded number zeros.

Which three digits are in the millions period?

What is 400,000 more than this number?

5.
What is 200,000,000 less than this number?

Estimate how much more you would need to get to 500,000,000

Explain your thinking.

I rounded 435,479,000 to 435,000,000. Then I subtracted 435,000,000 from 500,000,000 and

came up with a difference of 65,000,000.

Compare using <, >, or =.

435,124 > 287,091 912,847,103 > 95,192,842

2,918,001 < 29,182,837 345,678 > 34,567

Compare using = or ≠.

3,000,000 + 400,000 + 2,000 + 800 + 3 ≠ 304,002,803

46 million 9 thousand 450 = (4•10,000,000) + (6•1,000,000) + (9•1,000) + (4•100) + (5•10)

Complete the number line.

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5

Compare using < or >.

-3 > -7 6 > -9 -1 < 0

Estimate how much more you would need to get to 500,000,000

Explain your thinking.

I rounded 435,479,000 to 435,000,000. Then I subtracted 435,000,000 from 500,000,000 and

came up with a difference of 65,000,000.

Compare using <, >, or =.

435,124 > 287,091 912,847,103 > 95,192,842

2,918,001 < 29,182,837 345,678 > 34,567

Compare using = or ≠.

3,000,000 + 400,000 + 2,000 + 800 + 3 ≠ 304,002,803

46 million 9 thousand 450 = (4•10,000,000) + (6•1,000,000) + (9•1,000) + (4•100) + (5•10)

Complete the number line.

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5

Compare using < or >.

-3 > -7 6 > -9 -1 < 0

6.
If you are in a submarine 100 feet below sea level, how far will you have to travel to be 25 feet

above sea level? Draw a picture to explain your thinking. Circle your answer

I will first have to travel 100 ft up to get to sea level (which is 0), Then I will have to travel 25

ft further up to get to 25 ft above sea level. (100 + 25 = 125 ft)

If you owe a friend $10 and you earn $14, how much money will you have?

I will have $4 left because I have to repay my friend the $10 I owe first. ($14 - $10 = $4)

above sea level? Draw a picture to explain your thinking. Circle your answer

I will first have to travel 100 ft up to get to sea level (which is 0), Then I will have to travel 25

ft further up to get to 25 ft above sea level. (100 + 25 = 125 ft)

If you owe a friend $10 and you earn $14, how much money will you have?

I will have $4 left because I have to repay my friend the $10 I owe first. ($14 - $10 = $4)