Exponents
What is 102 in standard notation?
100
I am a 3 digit number.
My 9 is worth 9 x 10.
My 5 is worth 5 [100s].
My other digit is 3.
593
What is the best estimate for 120 x 43?
100 x 40 = 4,000
120 x 50 = 6,000
120 x 40 = 4,800
100 x 50 = 5,000
c. 120 x 40 = 4,800
Make an estimate, then solve:
603 ÷ 3 =
Estimate: 600 ÷ 3 = 200
Answer: 201
There are 60 seconds in one minute.
It took Ben 4 minutes and 23 seconds to finish a multiplication quiz. How many seconds did it take him?
It took him 263 seconds.
What is 100,000 in Exponential Notation?
105
I am a 4-digit number.
My 9 is worth 9 x 1,000.
One of my 7s is worth 70.
The other 7 is worth 10 times as much.
My other digit is 5.
What number am I?
9,775
The H-K collected 1,300 pieces of candy to send to soldiers.
There are 41 bags filled with 30 pieces of candy so far.
Has all the candy been used to fill the bags?
Explain how you know.
Not all of the candy has been used.
40 x 30 = 1,200 so 41 x 30 = 1,230 which is less than 1,300
Make an estimate, then solve:
872 ÷ 27 =
Estimate: 900 ÷ 30 = 30
Answer: 32 R8
There are 60 minutes in 1 hour.
It took 2 hours and 30 minutes to do the laundry. How many minutes did it take?
It took 150 minutes.
What is 324 x 104 in standard notation?
3,240,000
I am a 5-digit number.
My 4 is worth 4 x 10,000.
My 8 is worth 8,000.
One of my 3s is worth 30.
The other 3 is worth 10 times as much.
My other digit is 6.
What number am I?
48,336
Make an estimate, then solve.
254 x 9 =
Estimate:
300 x 9 = 2,700 or 250 x 10 = 2,500 or
250 x 9 = 2,250
Answer: 2,286
Make an estimate, then solve:
714 ÷ 25 =
Estimate: 700 ÷ 25 = 28
Answer: 28 R 14
There are 12 inches in one foot.
The fence around the field at Charlestown High School is 400 feet and 36 inches. How many inches long is the fence?
4,836 inches
Write the number 3,456,789 in expanded form with exponents.
(3x106) + (4x105) + (5x104) + (6x103) + (7x102) + (8x101) + (9x100)
I am a 5-digit number.
One of my 9s is worth 90,000.
The other 9 is worth 1/10 as much.
My 1 is worth 1 x 100.
One of my 4s is worth 4.
The other 4 is worth 10 times as much.
What number am I?
99,144
Make an estimate, then solve.
57 x 16 =
Estimate:
60 x 20 = 1200 or 60 x 15 = 900
Answer: 912
Mrs. Cannon wants to buy books for a class read aloud. She has $63. Each book costs $2. How many books can she buy for the class?
She can buy 31 books.
63 ÷ 2 = 31 R 1
Bonus: Did you ignore the remainder or round up the quotient?
There are 16 ounces in one pound.
Mr. Gallagher bought a 10 pound, 12 ounce turkey to cook for Thanksgiving dinner.
How many ounces was the turkey?
The turkey is 172 ounces.
Which number is greater? Explain how you know.
320 x 105
32 x 106
They are equal.
I am a 6-digit number.
One of my 6s is worth 600,000.
The other 6 is worth 1/10 as much.
My 3 is worth 3 [100s].
My 2 is worth 20.
My other digits are 0.
What number am I?
660,320
The Kennedy Center held a Winter Coat Drive. At the end of the event, they had 218 boxes each filled with 45 coats. How many winter coats were donated?
9,810 coats
Ms. Muenkel wants to buy book bins for her classroom library. She has 234 books. Each bin holds 12 books. Ms. Muenkel wants to put all of the books in bins. How many bins should she buy?
She should buy 20 book bins.
234 ÷ 12 = 19 R 6
Bonus: Did you ignore the remainder
or did you round up the quotient?
There are 3 feet in one yard.
Julie used 210 feet of ribbon to wrap birthday presents. How many yards of ribbon did she use?
70 yards