ArtsAutosBooksBusinessEducationEntertainmentFamilyFashionFoodGamesGenderHealthHolidaysHomeHubPagesPersonal FinancePetsPoliticsReligionSportsTechnologyTravel

Decimals, Fractions, and Word Problems---Do We Need Them?

Updated on February 4, 2017

A Strategy for Word Problems--Decimals and Fractions

When I was in elementary school, my answer to the above question was a resounding No!. I thought anything that had any kinship to numbers had been put on this earth for one reason----to cause trouble for me! In fact, I can still remember the familiar “knot in the stomach” feeling that math class always gave me.

But years later, for various reasons, I found I did need math, so I had to learn all those facts that I thought I would never see again. This time, however, when I learned my math lessons, they stuck with me. Now I don’t go out of my way to do math problems----and if you don’t particularly enjoy math, you probably won’t go out of yours either. That’s no problem----but for the times you find you do need math---whether it’s to help your child with homework, to home school your child, or maybe you are preparing to take the Graduate Record Exam (GRE), and you need to know some basic math. If you find yourself in one of those situations, here are some great tips for learning some basic facts about math, facts that don’t seem so basic---or they didn’t to me---when I first tried to work through them. Here goes.

First of all, when we are learning something new, we should ask, “Do I really need this?” Here are some places we all use decimals.

Everyday Uses of Decimals

  • Money! Money! Money! One dollar = 100 pennies = $1.50
  • Gas Pump! Gas Price Shown as Decimal = 3.87 or 3.49
  • Car’s Odometer – Mileage Shown as a Decimal
  • MapQuest Directions: Drive .5 mile-Turn Left on Broad Street

Some More Ways We Use Decimals

  • Decimals are Like Fractions: ½ = .50 ¼ = .25
  • Decimals: Sometimes Easier to Multiply Than Fractions
  • Calculators Always Use Decimals Instead of Fractions
  • Decimals Used by Scientists and Engineers: More Precise
  • Example: 1/3 or Divide 3/1 = .3333

Word Problems With Decimalss, about 100 of the candies are red and about 50 of the candies are green. In a bag containing 500 candies, about how many candies are not red or green?

For solving word problems, students need a strategy---a plan.Answering certain questions provide guidance in answering the questions that help solve word problems. Here are the questions we must ask.

Ask These Questions

  1. What is the problem about?
  2. What are you being asked to find?
  3. What operations are suggested?
  4. Estimate the answer.

Answers to the Questions

  1. M&M Candies
  2. The number of candies that are not red or green
  3. Addition to find out how many are red or green.
  4. Subtraction to find out how many are not red or green.
  5. More than 250. (fewer than half are red or green

To most of us, these questions and answers may seem obvious, but to a child---or an adult---learning about decimals for the first time, this plan is a lifeline in a sea of confusing words and numbers.

Why get an estimate? Because when we figure an approximate answer mentally and then perform one of the operations (multiply, divide, add, or subtract), we can see if our answer is close to our estimated answer. If our final answer is not close to our estimate, then we need to do something different.

The M & M problem involved addition and subtraction, which were suggested by the clues in the problem.

Teaching a child to ask (and answer) these questions with word problems helps facilitate the working of word problems. An additional lesson would involve learning the specific clues for each operation.


First of all, when you, or someone you know, is facing word problems for the first time, follow these steps. First ask yourself certain questions. These questions are listed below: After answering the following questions, put the answers together in a logical manner. You are now ready to study various types of word problems----and solve each problem with a minimum of guess work.

  1. What is the problem talking about?
  2. What are you asked to find?
  3. What operation is suggested? (Look at the hints or clues)
  4. Estimate the answer.
  5. Use the correct operation and find the answer.


    0 of 8192 characters used
    Post Comment
    • simondixie profile imageAUTHOR

      Nancy McLendon Scott 

      6 years ago from Georgia

      Thank you! That makes me feel good! I enjoy teaching the basic math but not algebra, etc.

    • teaches12345 profile image

      Dianna Mendez 

      6 years ago

      Always fascinated by math topics and how much I find them enjoyable when so well designed. Yours is excellent!


    This website uses cookies

    As a user in the EEA, your approval is needed on a few things. To provide a better website experience, uses cookies (and other similar technologies) and may collect, process, and share personal data. Please choose which areas of our service you consent to our doing so.

    For more information on managing or withdrawing consents and how we handle data, visit our Privacy Policy at:

    Show Details
    HubPages Device IDThis is used to identify particular browsers or devices when the access the service, and is used for security reasons.
    LoginThis is necessary to sign in to the HubPages Service.
    Google RecaptchaThis is used to prevent bots and spam. (Privacy Policy)
    AkismetThis is used to detect comment spam. (Privacy Policy)
    HubPages Google AnalyticsThis is used to provide data on traffic to our website, all personally identifyable data is anonymized. (Privacy Policy)
    HubPages Traffic PixelThis is used to collect data on traffic to articles and other pages on our site. Unless you are signed in to a HubPages account, all personally identifiable information is anonymized.
    Amazon Web ServicesThis is a cloud services platform that we used to host our service. (Privacy Policy)
    CloudflareThis is a cloud CDN service that we use to efficiently deliver files required for our service to operate such as javascript, cascading style sheets, images, and videos. (Privacy Policy)
    Google Hosted LibrariesJavascript software libraries such as jQuery are loaded at endpoints on the or domains, for performance and efficiency reasons. (Privacy Policy)
    Google Custom SearchThis is feature allows you to search the site. (Privacy Policy)
    Google MapsSome articles have Google Maps embedded in them. (Privacy Policy)
    Google ChartsThis is used to display charts and graphs on articles and the author center. (Privacy Policy)
    Google AdSense Host APIThis service allows you to sign up for or associate a Google AdSense account with HubPages, so that you can earn money from ads on your articles. No data is shared unless you engage with this feature. (Privacy Policy)
    Google YouTubeSome articles have YouTube videos embedded in them. (Privacy Policy)
    VimeoSome articles have Vimeo videos embedded in them. (Privacy Policy)
    PaypalThis is used for a registered author who enrolls in the HubPages Earnings program and requests to be paid via PayPal. No data is shared with Paypal unless you engage with this feature. (Privacy Policy)
    Facebook LoginYou can use this to streamline signing up for, or signing in to your Hubpages account. No data is shared with Facebook unless you engage with this feature. (Privacy Policy)
    MavenThis supports the Maven widget and search functionality. (Privacy Policy)
    Google AdSenseThis is an ad network. (Privacy Policy)
    Google DoubleClickGoogle provides ad serving technology and runs an ad network. (Privacy Policy)
    Index ExchangeThis is an ad network. (Privacy Policy)
    SovrnThis is an ad network. (Privacy Policy)
    Facebook AdsThis is an ad network. (Privacy Policy)
    Amazon Unified Ad MarketplaceThis is an ad network. (Privacy Policy)
    AppNexusThis is an ad network. (Privacy Policy)
    OpenxThis is an ad network. (Privacy Policy)
    Rubicon ProjectThis is an ad network. (Privacy Policy)
    TripleLiftThis is an ad network. (Privacy Policy)
    Say MediaWe partner with Say Media to deliver ad campaigns on our sites. (Privacy Policy)
    Remarketing PixelsWe may use remarketing pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to advertise the HubPages Service to people that have visited our sites.
    Conversion Tracking PixelsWe may use conversion tracking pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to identify when an advertisement has successfully resulted in the desired action, such as signing up for the HubPages Service or publishing an article on the HubPages Service.
    Author Google AnalyticsThis is used to provide traffic data and reports to the authors of articles on the HubPages Service. (Privacy Policy)
    ComscoreComScore is a media measurement and analytics company providing marketing data and analytics to enterprises, media and advertising agencies, and publishers. Non-consent will result in ComScore only processing obfuscated personal data. (Privacy Policy)
    Amazon Tracking PixelSome articles display amazon products as part of the Amazon Affiliate program, this pixel provides traffic statistics for those products (Privacy Policy)
    ClickscoThis is a data management platform studying reader behavior (Privacy Policy)