"Free Class: Ratios, Proportions and Currency" | Unit 1 #learningmaths | PTIV
0Category: Learning and Education
Subject: Basic Mathematics (Grade 10+)
Software: Krita; Version: 5.2.6 (git ab3502b)
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YT Channel: WhiskeyTango Sharp
** FULL | LIVE | stream Defintions and Numbers - From the Basics Let's GO !! **
Title: "Free Class: Ratios, Proportions and Currency" | Unit 1 #learningmaths | PTIV
Level: Mathematics 10-3
"Back-to-Basics"
"We ALL have to begin somewhere. Right? Let us begin with some General Mathematics here."
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Description: AI Overview - Definitions in Mathematics
What is a ratio in Mathematics?
In math, a ratio is a comparison between two or more quantities, expressing their relationship to one another. It can be written using a colon (a:b), a fraction (a/b), or the word "to" (a to b). Ratios are often used to compare sizes, amounts, or quantities within a group.
Comparison:
Ratios show how one quantity relates to another, whether it's larger, smaller, or equal in size.
Equivalent Ratios:
Just like fractions, ratios can be simplified to their lowest terms without changing the comparison. For example, 2:4 is equivalent to 1:2.
Applications:
Ratios are used in various real-world scenarios, such as scaling drawings, dividing quantities, and comparing different rates.
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What is a proportional relationship in Mathematics?
A proportional relationship in mathematics refers to a relationship between two variables where one variable is always a constant multiple of the other. This means the ratio between the two variables remains constant, regardless of how much those variables change. In other words, when one variable increases, the other increases proportionally, and when one variable decreases, the other decreases proportionally, maintaining the same ratio.
Key characteristics of a proportional relationship:
Constant Ratio:
The ratio between the two variables is always the same. This constant ratio is often called the "constant of proportionality".
Direct Variation:
One variable directly varies with the other. This means that as one variable increases or decreases, the other increases or decreases proportionally.
Equation:
Proportional relationships can be represented by an equation in the form y = kx, where 'y' and 'x' are the variables, and 'k' is the constant of proportionality.
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