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Ratios and Proportions
Published in Joanne Kirkpatrick Price, Basic Math Concepts, 2018
A proportion is defined as two equal ratios. However, a proportion could also be thought of as two equivalent fractions.∗ In other words, the numerator and denominator of the first fraction can be multiplied or divided by some number in order to obtain the second fraction. Using the proportion 2:3 and 10:15, notice that multiplying the numerator and denominator of the first fraction by 5, results in the second fraction: 23××55=1015
A Physical and Chemical Equilibrium
Published in Danny D. Reible, Fundamentals of Environmental Engineering, 2017
Generally, this ratio is multiplied by 100 and expressed as a percent. The term 100% relative humidity implies that the partial pressure of water vapor is equal to the equilibrium or vapor pressure of water at that temperature. A relative humidity of 100% defines the dew point temperature of the air since the air is then saturated with water and condensation will occur if any further decreases in temperature are experienced.
Frequency Measures
Published in Frank R. Spellman, Fundamentals of Wastewater-Based Epidemiology, 2021
A ratio is a comparison of any two values or is the relative magnitude of two quantities. In simpler terms, we can say that a ratio is the established relationship between two numbers. For example, if someone says, I’ll give you four to one the Redskins over the Cowboys in the Super Bowl, what does that person mean?
Development of mathematics trainee teachers’ knowledge while creating a MOOC
Published in International Journal of Mathematical Education in Science and Technology, 2020
Klemer Anat, Keisar Einav, Rapoport Shirley
Proportional thinking deals with a multiplicative mathematical relationship. Formally, the definition of proportion is an equality of two ratios. The ratio is a quotient, the result of the division of two numbers, sizes or expressions. For example, the ratio between the numbers n1 and n2 is defined as n1/n2. Proportion is a comparison between ratios. The multiplicative relation, which created the first ratio, equals the multiplicative relation creating the second ratio. Given two ratios, the ratios will be equal or of the same proportion, when n1/n2=n3/n4 (Ben Haim, Keret, & Ilani, 2006).
Middle school students’ proportional reasoning in real life contexts in the domain of geometry and measurement
Published in International Journal of Mathematical Education in Science and Technology, 2019
Rukiye Ayan, Mine Isiksal-Bostan
Proportion is the equality of two ratios, and proportional problems include multiplicative relationships for which two equal ratios can be formed [5]. Then, proportional reasoning is associated with the ability to solve such problems by making use of effective forms of proportional scheme [5]. Since proportional reasoning is both essential and difficult to master, many studies were conducted regarding it and related concepts such as ratio, rate and proportion. These studies were focused on assessing students’ proportional reasoning abilities and misconceptions and included a variety of mathematical tasks in terms of the content and orientation to the tasks.
Classifying unevenly spaced clinical time series data using forecast error approximation based bottom-up (FeAB) segmented time delay neural network
Published in Computer Methods in Biomechanics and Biomedical Engineering: Imaging & Visualization, 2021
Y. Nancy Jane, H. Khanna Nehemiah, Arputharaj Kannan
MAPE is a measure which expresses the magnitude of the error relative to the magnitude of the demand. To express this relative measure as a percent, the average ratio is multiplied by 100. Mathematically, it is represented as,