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Exponents

These problems develop an understanding of the notation used to represent very large and very small numbers.
 Related Resources

Interactive resources from our Math Tools project:
Math 7: Number Sense
The closest match in our Ask Dr. Math archives:
Middle School: Exponents
NCTM Standards:
Number and Operations Standard for Grades 68
Access to these problems requires a Membership.

Accuracy Please
 Judy Ann Brown

PreAlgebra, difficulty level 3. Considering precision, accuracy, and appropriateness in finding the volume of a cone.
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Anh's Code
 Annie Fetter

PreAlgebra, difficulty level 2. Decode the five mathematical operations symbolized in three equations, then evaluate an expression.
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Choosing Cs
 Lisa Lavelle, Suzanne Alejandre

PreAlgebra, difficulty level 3. Given the expression c^2  2, what is the probability that the result
is composite for integers 10 through 2?
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The Complex Apartment Complex
 Judy Ann Brown

PreAlgebra, difficulty level 2. Find the number of apartments in a new building if each floor has twice as many apartments as the floor above.
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Divisible by a Dozen
 Terry Trotter & Annie Fetter

PreAlgebra, difficulty level 3. If you take any three consecutive integers, multiply the first times the square of the second, then multiply by the third, is 12 a factor of the product?
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Falling Leaves
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Find the number of leaves that were falling.
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Fences for Fido and Friends
 Annie Fetter

PreAlgebra, difficulty level 2. Find the area of each rectangular dog pen.
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Flipping Over Pennies
 Judy Ann Brown

PreAlgebra, difficulty level 3. How many equally likely outcomes are there when flipping 10 coins?
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Lucky Lollipops
 Suzanne Alejandre & Maria Fung and her students

PreAlgebra, difficulty level 3. Find the number of lollipops Logan the Leprechaun gives away using his "lucky" method.
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Open and Shut Case
 Judy Ann Brown

PreAlgebra, difficulty level 2. Find the locker combination using mathematical clues.
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Palindrome Day
 Judy Ann Brown

PreAlgebra, difficulty level 2. How many Palindrome Days are there in a year?
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Partial Area
 Judy Ann Brown

PreAlgebra, difficulty level 3. Find the area of the portion of the circle that is not included inside the inscribed square.
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Pi Day  Let's Eat Cake!
 Judy Ann Brown

PreAlgebra, difficulty level 3. In honor of Pi Day we will be comparing the volumes of slices taken from round and rectangular cakes.
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Pi Day Treats
 Judy Ann Brown

PreAlgebra, difficulty level 3. Help Mrs. Granville and Mrs. Germain plan a Pi Day celebration.
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Prime Probability
 Lisa Lavelle

PreAlgebra, difficulty level 3. Given the expression n^2  5, what is the probability that the result is prime for integers between 2 and 12?
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Santa's Little Helpers
 Judy Ann Brown

PreAlgebra, difficulty level 3. Help Santa to solve the puzzle created by the clever elves.
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The Scientific Notation Game
 Suzanne Alejandre

PreAlgebra, difficulty level 3. Help Jay think about how points are calculated in the Scientific Notation Game.
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Scientific Sums
 Judy Ann Brown

PreAlgebra, difficulty level 2. Find the sum of a set of numbers written in scientific notation.
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Square Dancing
 Judy Ann Brown

PreAlgebra, difficulty level 2. The sum of each couple's numbers is a perfect square. Use other information in the problem to find the number of Ashley's partner.
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A Stellar Garden
 Bill Marthinsen

PreAlgebra, difficulty level 3. Martha Stewart wants to rebuild her ugly garden. She needs help calculating the areas in the new garden.
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Timber!
 Steve Risberg

PreAlgebra, difficulty level 3. A tree breaks threeeighths of the way up the trunk, and the tip hits the ground 40 feet from the base of the trunk. How tall was the tree?
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The Tower of Hanoi Puzzle
 Roya Salehi

PreAlgebra, difficulty level 4. Tower of Hanoi: What is the minimum number of moves it will take to transfer 25 disks from one post to another?
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Valley Springs Snow Cream
 Kelly Crisp

PreAlgebra, difficulty level 3. Compare the volume of a sphere, cone, and cylinder using ice cream.
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