Practice Test – Number Sense
Write these numbers in expanded form.
43,908,231
40,000,000+3,000,000+900,000+8,000+200+30+1
824,874
800,000+20,000+4,000+800+70+4
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Write these numbers using expanded notation.
15,823,007
(1 . 10,000,000)+(5 . 1,000,000)+(8 . 100,000)+(2 . 10,000)+(3 . 1,000)+(7 . 1)
294,918
(2 . 100,000)+(9 . 10,000)+(4 . 1,000)+(9 . 100)+(1 . 10)+(8 . 1)
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Write this number in word form.
25,160,305
Twenty-five million one hundred sixty thousand three hundred five
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Write these numbers in short word form.
412,568
412 thousand 568
2,734,652
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
213,539,564
Seven hundred forty-three million two hundred six thousand five hundred eleven
743,206,511
982 million 35 thousand 621
982,035,621
(9 • 10,000,000) + (7 • 1,000,000) + (8 • 100,000) + (4 • 1,000) + (2 • 100) + (1 • 1)
97,804,201
Three million seventy-eight
3,000,078
500,000 + 10,000 + 9
510,009
23 million 43 thousand 8
23,043,008
(1 • 100,000,000) + (2 • 10,000,000) + (8 • 1,000,000) + (4 • 10,000) + (3 • 100) + (7 • 10)
128,040,370
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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
thinking.
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.
Make the 6 largest and 6 smallest numbers using these digits:
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
9
5
1
8
6
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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
Use this number for all of the questions on this page.
435,079,996
What is the value of the 5?
5,000,000
Which digit is in the ten thousands place?
7
What is the value of the 3?
30,000,000
What is the value of the 0?
0
Round this number to the nearest 100,000.
435,100,000
Round this number to the nearest 100.
435,080,000
Round this number to the nearest 10,000,000.
440,000,000
Round this number to the nearest 100,000,000.
400,000,000
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?
4,3,5
What is 400,000 more than this number?
435,479,996
What is 200,000,000 less than this number?
235,079,996
Estimate how much more you would need to get to 500,000,000
65,000,000
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
2,918,001
<
29,182,837
912,847,103
345,678
>
95,192,842
>
34,567
Compare using = or ≠.
3,000,000 + 400,000 + 2,000 + 800 + 3
46 million 9 thousand 450
=
≠
304,002,803
(4•10,000,000) + (6•1,000,000) + (9•1,000) + (4•100) + (5•10)
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Complete the number line.
-6
-5
-4
-3
-2
-1
0
1
>
-9
2
3
4
5
-1
<
0
Compare using < or >.
-3
>
-7
6
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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)
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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)