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Frontend Estimation Word Problems

Answer Keys Here

Aligned To Common Core Standard:

Grade 4 Operations - 4.OA.A.3

What is Frontend Estimation? When do you use it to help your math problems? Simply put, frontend rounding is a quick way to we use to get an idea of the outcome of a sum or difference when we are working with whole numbers. You round to the front most digit, meaning if the number that follows it is five or higher, we round up. Otherwise, we round down. This is not meant to be a fully accurate or precise measure just to give you general idea of your solution. You will find yourself in many scenarios where this is immensely helpful. Take for example the daily dilemma of a teacher planning a field trip. The constant question is, “How many school buses do we need to make the trip?” A typical bus will fit 52 students comfortably. I always frontend estimate this to 50. The frontend digit is 5 and with the 2 trailing it, it would have us round down. This also helps accommodate that extra student that shows up for a trip they were not originally scheduled to be on. This is just a typical everyday example, but people use this form of rounding for quick calculations all the time.

Printable Worksheets And Lessons

Homework Sheets

An example: We brought 4 pizzas to the party that had 12 slices in each pie. Estimate how many pizzas we have total.

  • Homework 1 - Was more money made selling hamburgers and fries than pizza and soda?
  • Homework 2 - There are 24 players on the football team. We need to make 6 cookies for each player for after the game. Estimate how many cookies we need to make.
  • Homework 3 - We traveled 2741 miles while on vacation. The first day we traveled 810 miles. How many miles did we drive the rest of the vacation?

Practice Worksheets

Example: Melanie had 14 bicycles for sale. She wanted to get $8 for each bike. How much would she make once she sold them all?

  • Practice 1 - Tracy is writing a book report on birds. She found out there are 5822 different kinds of birds in the United States. There are 2429 species that live in Canada. Estimate how many more birds live in the United States.
  • Practice 2 - How much more did it cost to buy the blue books than it did to buy the yellow books?
  • Practice 3 - Rudolph decided to train for Christmas by doing 6 jumping jacks a day. There are 78 day until Christmas. How many jumping jacks will Rudolph do before Christmas?

Math Skill Quizzes

Example: Wally wanted to paint 85 paintings a year. If he worked for 8 years, how many would he paint in all?

  • Quiz 1 - They have prizes for the people who wore the top 3 most popular costumes. They only have 1400 ribbons. Do they have enough for the top 3 costume wearers?
  • Quiz 2 - Willie decided to train for the marathon by doing 88 jumping jacks a day. There are 3 months until the race. How many jumping jacks will Willie do before the race?

How to Ballpark Numbers

Ballparking is a term that means an acceptable numeric value. It is somewhat accurate. To teach children about the concepts of estimation, there are different ways you can go through with it. One of those methods is the ballpark estimation method. The method uses a figure, which is a guess, but you can believe that it is near the correct number. For instance, if you want to guess the price of the chocolate bar, then you might guess the right price depending on the number. However, the phrase is mostly used in sentences where are just throwing an estimation for anything in regard to similar things we know. It’s a good practice to learn since it helps students to develop the need to learn more. This series of worksheets and lessons will show students how to confidently determine an accept value that your answer for word problems should be near.