In the realm of mathematics, fractions are ubiquitous, providing a means to represent portions of a whole. One such fraction is .875, which plays a significant role in various fields. This article aims to delve into the intricacies of .875, exploring its applications and shedding light on its real-world significance.
The decimal .875 represents the number 875 thousandths. In fractional form, it can be expressed as 7/8. This means that .875 is equivalent to seven-eighths of a whole.
To convert .875 to a percentage, we multiply it by 100%. Therefore:
.875 x 100% = 87.5%
.875 represents 87.5% of a whole.
.875 can be related to other fractions:
In finance, .875 is commonly used as a discount rate. For example, a loan with an interest rate of 8.75% represents an annual discount rate of .875.
In measurement and engineering, .875 is used to represent dimensions and tolerances. For instance, a workpiece with a diameter of .875 inches has a very specific size requirement.
In statistics and probability, .875 can be used as a threshold or probability value. For example, a confidence interval with a 95% confidence level corresponds to a probability of .875.
Many consumer goods and products are designed based on the fraction .875. These include:
.875 has applications in various scientific and technological fields:
An engineer was tasked with designing a bridge with a span of .875 miles. However, they mistakenly converted it to 875 feet instead of 4,560 feet (0.875 miles). As a result, the bridge was significantly shorter than intended. This highlights the importance of precision when working with fractions.
An investor purchased a stock at $87.50 per share. They expected the stock to reach $100 per share, representing a potential gain of .875 or 87.5%. However, the stock price dropped to $75 per share, resulting in a loss instead. This serves as a reminder that investments carry risks.
A machinist was tasked with creating a precision part with a diameter of .875 inches. They used a micrometer to carefully measure the part and ensured it met the exact specification. This demonstrates the practical importance of fractions in manufacturing and engineering.
To memorize the decimal equivalent of 7/8, simply add 8 + 7, which equals 15. Divide 15 by 8 to get .875.
When performing quick calculations, .875 can be approximated as 0.9 or 90%. This approximation can provide a reasonable estimate in certain situations.
To convert a fraction to a decimal, divide the numerator by the denominator. To convert a decimal to a fraction, multiply the decimal by the denominator and divide by the numerator.
Q1: What is the decimal equivalent of .875?
A: .875
Q2: What is the fraction equivalent of .875?
A: 7/8
Q3: What percentage is .875 equal to?
A: 87.5%
Q4: How is .875 used in finance?
A: As a discount rate or interest rate.
Q5: What does .875 represent in measurement and engineering?
A: Dimensions, tolerances, and specifications.
Q6: How is .875 used in statistics and probability?
A: As a threshold or probability value.
Q7: What is the radius of the Sun as a multiple of the Earth's radius?
A: Approximately .875
Q8: What is the conversion rate from .875 inches to feet?
A: 1 foot = 12 inches, so .875 inches = .875 / 12 feet = 0.0729 feet
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