Math Forum - Problems Library - Pre-Algebra, Number Sense: Exponents

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Pre-Algebra
operations with numbers
number sense
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fractions, decimals,
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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 6-8

Access to these problems requires a Membership.

Accuracy Please - Judy Ann Brown
Pre-Algebra, difficulty level 3. Considering precision, accuracy, and appropriateness in finding the volume of a cone. ... more>>

Anh's Code - Annie Fetter
Pre-Algebra, difficulty level 2. Decode the five mathematical operations symbolized in three equations, then evaluate an expression. ... more>>

Choosing Cs - Lisa Lavelle, Suzanne Alejandre
Pre-Algebra, difficulty level 3. Given the expression c^2 - 2, what is the probability that the result is composite for integers -10 through -2? ... more>>

The Complex Apartment Complex - Judy Ann Brown
Pre-Algebra, difficulty level 2. Find the number of apartments in a new building if each floor has twice as many apartments as the floor above. ... more>>

Divisible by a Dozen - Terry Trotter & Annie Fetter
Pre-Algebra, 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? ... more>>

Falling Leaves - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Find the number of leaves that were falling. ... more>>

Fences for Fido and Friends - Annie Fetter
Pre-Algebra, difficulty level 2. Find the area of each rectangular dog pen. ... more>>

Flipping Over Pennies - Judy Ann Brown
Pre-Algebra, difficulty level 3. How many equally likely outcomes are there when flipping 10 coins? ... more>>

Lucky Lollipops - Suzanne Alejandre & Maria Fung and her students
Pre-Algebra, difficulty level 3. Find the number of lollipops Logan the Leprechaun gives away using his "lucky" method. ... more>>

Open and Shut Case - Judy Ann Brown
Pre-Algebra, difficulty level 2. Find the locker combination using mathematical clues. ... more>>

Palindrome Day - Judy Ann Brown
Pre-Algebra, difficulty level 2. How many Palindrome Days are there in a year? ... more>>

Partial Area - Judy Ann Brown
Pre-Algebra, difficulty level 3. Find the area of the portion of the circle that is not included inside the inscribed square. ... more>>

Pi Day - Let's Eat Cake! - Judy Ann Brown
Pre-Algebra, difficulty level 3. In honor of Pi Day we will be comparing the volumes of slices taken from round and rectangular cakes. ... more>>

Pi Day Treats - Judy Ann Brown
Pre-Algebra, difficulty level 3. Help Mrs. Granville and Mrs. Germain plan a Pi Day celebration. ... more>>

Prime Probability - Lisa Lavelle
Pre-Algebra, difficulty level 3. Given the expression n^2 - 5, what is the probability that the result is prime for integers between 2 and 12? ... more>>

Santa's Little Helpers - Judy Ann Brown
Pre-Algebra, difficulty level 3. Help Santa to solve the puzzle created by the clever elves. ... more>>

The Scientific Notation Game - Suzanne Alejandre
Pre-Algebra, difficulty level 3. Help Jay think about how points are calculated in the Scientific Notation Game. ... more>>

Scientific Sums - Judy Ann Brown
Pre-Algebra, difficulty level 2. Find the sum of a set of numbers written in scientific notation. ... more>>

Square Dancing - Judy Ann Brown
Pre-Algebra, 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. ... more>>

A Stellar Garden - Bill Marthinsen
Pre-Algebra, difficulty level 3. Martha Stewart wants to rebuild her ugly garden. She needs help calculating the areas in the new garden. ... more>>

Timber! - Steve Risberg
Pre-Algebra, difficulty level 3. A tree breaks three-eighths 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? ... more>>

The Tower of Hanoi Puzzle - Roya Salehi
Pre-Algebra, 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? ... more>>

Valley Springs Snow Cream - Kelly Crisp
Pre-Algebra, difficulty level 3. Compare the volume of a sphere, cone, and cylinder using ice cream. ... more>>

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