Write each percent change as a ratio comparing the result to the original quantity. Then write it as a constant multiplier.
Book's example:
3% increase, 103/100, 1+0.03
I don't understand double digit numbers. The one that I have to solve is an 11% decrease. Tips, hints-anything would be GREATLY appreciated.
100 - 11 = 89
89/100 = .89
thank you so much!
To understand how to solve for the percent change and express it as a ratio and a constant multiplier, let's break it down step by step.
Step 1: Understand the percent change direction
In your case, you have an 11% decrease, which means the final quantity is 11% less than the original quantity.
Step 2: Calculate the ratio comparing the result to the original quantity
To write the percent change as a ratio, you need to express the final quantity as a fraction of the original quantity.
For an 11% decrease, the final quantity can be expressed as 100% - 11% = 89% of the original quantity.
So, the ratio comparing the result to the original quantity is 89/100. This means that the final quantity is 89 parts out of 100 parts of the original quantity.
Step 3: Write the percent change as a constant multiplier
To express the percent change as a constant multiplier, you need to add or subtract the percent change from 100% and express it as a decimal.
For an 11% decrease, you subtract 11% from 100%:
100% - 11% = 89%
Now, express 89% as a decimal: 89% = 0.89
The constant multiplier for an 11% decrease is 0.89. This means that the final quantity is 0.89 times (or 89% of) the original quantity.
So, in summary:
- The ratio comparing the result to the original quantity for an 11% decrease is 89/100.
- The constant multiplier for an 11% decrease is 0.89.
I hope this clarifies how to calculate and express a percent change as a ratio and a constant multiplier!