Math Problem Statement
Your calculation seems to contain a significant error in the height of the stack of bills. Let's break it down:
- Thickness of a single bill: Approximately 0.0043 inches.
- Number of bills: (2.4999999999999997 \times 10^{31}).
To find the total height of the stack, you would multiply the number of bills by the thickness:
[ \text{Total height} = 2.4999999999999997 \times 10^{31} , \text{bills} \times 0.0043 , \text{inches} ]
Calculating this gives:
[ \text{Total height} \approx 1.074 \times 10^{29} , \text{inches} ]
To convert inches to light-years:
- There are 63,360 inches in a mile and about 5.8786 × 10^12 miles in a light-year.
So, the conversion from inches to light-years would be:
[ \text{Total height in light-years} \approx \frac{1.074 \times 10^{29} , \text{inches}}{63,360 , \text{inches/mile} \times 5.8786 \times 10^{12} , \text{miles/light-year}} ]
Calculating that gives approximately (2.0 \times 10^{22}) light-years, which is much smaller than the observable universe's diameter of about 93 billion light-years.
So, the claim that it would stretch for (2.87 \times 10^{13}) light-years is incorrect; it's still an enormous number, but it doesn't surpass the size of the observable universe.
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Arithmetic
Unit Conversion
Scientific Notation
Formulas
Total height = Number of bills × Thickness of a single bill
Inches to miles: miles = inches / 63,360
Miles to light-years: light-years = miles / 5.8786 × 10^12
Theorems
-
Suitable Grade Level
Grades 11-12
Related Recommendation
Calculate the Stack Height of 2.5e+31 $100 Bills in Light-Years
Calculating the Height of a Hypothetical Stack of $100 Bills Spanning Light-Years
How Many Sheets of Paper to Reach a 2.23 km Height?
How Tall Is a Stack of $228 Worth of Pennies?
Converting Altitudes, Measurements, and Universal Data to Scientific Notation