FutureStarr

Tape Diagram Calculator

# Tape Diagram Calculator

Input a number and the number you want to decrease by and the percent decrease. Tape Diagram Calculator will take you through the first three steps of a standard process of multiplying a number by a percent.

This adding machine calculator is useful for keeping a running total or "paper tape" when adding or subtracting money as in balancing your checkbook, doing your taxes, or any other calculation where you need to double check your entries. Input values and operators in the calculator, and review your math above. Print the adding machine "tape" to save a record of your calculations.

Tell students that in this activity, they’ll be learning or revisiting a way to calculate a problem like “\(x\) increases or decreases by a certain percentage. What is the new amount?” You could calculate the percentage of the old amount and add or subtract it from the original amount, but for the upcoming work in Algebra 1, it will be necessary to do this calculation with just one operation. (Source: curriculum.illustrativemathematics.org)

### Solve

To solve this ratio with a table, we'll need to create one using the information provided in the problem. The first column refers to the number of minutes used to make the call, while the second column totals the cost of the call. To calculate the cost of the call, we multiply the number of minutes by 40 cents. The problem tells us that Sarah spent six minutes on the phone with her mom and 12 minutes on the phone with her brother for a total of 18 minutes. According to our table, those 18 minutes on the phone cost Sarah 720 cents, or \$7.20.

Real-life ratios can also be found in phone plans. For instance, if you pay 40 cents per minute to call someone, then you have a cents-to-minutes ratio of 40:1. Let's say that Sarah spends six minutes talking to her mom and 12 minutes talking to her brother. How much money do the calls cost Sarah if her cents-to-minutes ratio is 40:1? To solve this ratio problem, we can use a table, tape diagram and double number line. (Source: study.com)

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