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

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 TOPICS This page: number sense exponents pi roots scientific notation 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>> Page:  1