what is the answer to 89 divided by 40,731
The correct answer and explanation is:
Sure! Let’s calculate and explain:
Calculation: 8940,731≈0.002185\frac{89}{40,731} \approx 0.002185
How we get this answer:
- Understanding the division:
You want to divide 89 by 40,731. Since 40,731 is much larger than 89, the result will be a decimal less than 1. - Performing the division:
When you divide a smaller number by a much larger number, the quotient is a fraction smaller than 1. You can perform this division using a calculator or long division:
- 89 ÷ 40,731 = 0.002185 (rounded to six decimal places)
- Interpreting the result:
- The decimal 0.002185 means that 89 is about 0.2185% of 40,731.
- In percentage terms, multiply the decimal by 100:
0.002185×100=0.2185%0.002185 \times 100 = 0.2185\%.
- Context and significance:
- Such a small quotient often shows that the numerator is very small relative to the denominator.
- For example, if 89 represented the number of people who completed a survey out of a population of 40,731, only about 0.22% participated.
Additional thoughts:
- Long Division Approach:
To divide by hand, you would add decimal places to 89 and repeatedly subtract multiples of 40,731 to get each decimal digit. This is tedious but possible. - Scientific Notation:
If you want to express the result in scientific notation, it is approximately:
2.185×10−32.185 \times 10^{-3}. - Practical Uses:
Understanding such small ratios is important in fields like statistics, science, and economics when comparing small quantities to large totals.
Final answer: 0.002185\boxed{0.002185}
This means 89 divided by 40,731 is approximately 0.002185.