Concept explainers
To explain the distributive property can be used to calculate quickly and compare methods of finding the total Calories burned with and without using the distributive property.
Explanation of Solution
Given:
A a person burns 420 Calories per hour by surfing. The time he spent surfing in one week is as shown:
Day | Mon | Tue | Wed | Thu | Fri | Sat | Sun |
Time(h) | 1 | 0 | 1 | 0 | 2 |
Concept used:
The Distributive Property:
Calculation:
The amount of Calories burnt by a person on any day
The amount of Calories burnt by a person on Monday
The amount of Calories burnt by a person on Tuesday
The amount of Calories burnt by a person on Wednesday
The amount of Calories burnt by a person on Thursday
The amount of Calories burnt by a person on Friday
The amount of Calories burnt by a person on Saturday
The amount of Calories burnt by a person on Sunday
Method 1: Without using distributive property
Total Calories burnt by a person in a week
Total Calories burnt by a person in a week
Total Calories burnt by a person in a week
Method 2: Using distributive property
Total Calories burnt by a person in a week
Total Calories burnt by A person in a week
Total Calories burnt by a person in a week
Total Calories burnt by a person in a week
The solution remains same irrespective of the distribution property is used or not.
The use of this property reduces the time of calculations.
Conclusion:
From the above two methods, method using distributive property helps to solve the problem quicker.
The amount of calories burned is same irrespective of the method used.
Chapter 1 Solutions
Algebra 1
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