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Regrouping decimals
Regrouping-decimals 256
Description
Exercise Name: Regrouping decimals
Math Missions: 5th grade (U.S.) Math Mission, Arithmetic essentials Math Mission, Pre-algebra Math Mission, Mathematics I Math Mission
Types of Problems: 2

The Regrouping decimals exercise appears under the 5th grade (U.S.) Math Mission, Arithmetic essentials Math Mission, Pre-algebra Math Mission and Mathematics I Math Mission. This exercise introduces the concept of regrouping numbers in decimals to assist with borrowing.

Types of Problems

There are two types of problems in this exercise:

  1. Reorganize: This problem provides a number broken down by place value in the standard way, and a second break down in a non-standard way. The user is asked to fill in the missing value to ensure both representations are correct.
    Rd2

    Reorganize

  2. Fill chart: This problem starts with a given number and a chart that breaks down the number into it's place value pieces. The user is asked to fill in the chart with what ends up being an exhaustive list of the possibilities for those units.
    Rd1

    Fill chart

Strategies

This exercise is medium to get accuracy badges because the movements in the number are simple, although a couple might need to be read carefully. The speed badges are easy because the patterns are predictable and once user figures them out they can be performed rapidly.

  1. On Reorganize the place user move to always has a non-zero number, so user should not ever have to answer just ten.
  2. On Reorganize the number the user will put in the slot is a multiple of ten more than value of the number to the right of the spot the user is in. user can see how many it decreased by, and that would be the tens digit of the number they will put in the slot.
  3. On Fill chart the left column always decreases by one, and the right column always increases by ten or one hundred. Ten if the digits are next to each other, one hundred if they are separated by one spot.

Real-life Applications

  1. Fractions, decimals, and percents are used in many sports such as basketball to determine how many field goals the player has made over how many they attempted.
  2. Decimals are very common in shopping. Price tags, food labels, and receipts all contain decimals.
  3. At gas pumps, decimals are used to show how much gas is pumped and much it costs per gallon.

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