Revision Notes for ICSE Class 10 Math Chapter 7 - Free PDF Download
FAQs on ICSE Class 10 Mathematics Revision Notes Chapter 7 - Ratio and Proportion
1. On which online learning platform students will find the revision notes of Chapter 7 Ratio and Proportion of ICSE Class 10 Mathematics?
The revision notes of Chapter 7 Ratio and Proportion of ICSE Class 10 Mathematics are available on the official website of Vedantu. Students can assess these notes by downloading them in the form of a PDF file. By this, they can study offline too. These notes are free of cost and are prepared by skilled teachers. The notes are of great use as they help students in understanding the chapter clearly. These are considered as the best study material during the exams. The notes help students in memorizing important points and formulas.
2. What is the meaning of the terms Ratio and Compound Ratio?
Let a and b be the two quantities of the same kind where b is not equal to zero, then the quotient a/b is known as the ratio of the quantities a and b. The ratio of a and b is denoted by a:b and is read as a is to b. The quantity a is known as the antecedent and b is known as the consequent.
The ratio obtained by multiplying two or more ratios term-wise is known as the compound ratio.
For example, ac: bd is the compound ratio where a:b and c:d are two different ratios.
3. Define the following terms:
(a) Proportion
(b) Continued Proportion
(a) Proportion – Consider the four quantities a, b, c and d. Then, the condition where the ratio of the first to the second quantity is equal to the ratio of the third to the fourth quantity is known as proportion. Mathematically, a:b = c:d or a/ b = c/ d.
(b) Continued Proportion – The condition where three and more quantities are taken and the ratio of the first and the second quantity is equal to the ratio of the second and the third quantity is known as the continued proportion. Mathematically, a:b :: b:c or a/b = b/c.
4. What are the important properties of the proportion?
Beneath are the significant properties of the proportion:
The first property is known as the invertendo.
If the two quantities are written as a:b = c:d then the reverse is also true, that is b:a = d:c.
In the property of alternendo, the ratio of the quantities is defined as a:b = c:d which implies that a:c = b:d.
If a:b = c:d, then a+b:b = c+d:d. This property of the quantities is known as componendo.
The property dividendo of a:b = c:d is defined as a-b:b = c-d:d.
The combined property componendo and dividendo of a:b = c:d is described as a+b:a-b = c+d:c-d.
5. What is the difference between commensurable and incommensurable quantities?
Commensurable quantities are those two quantities whose ratio can be defined as the ratio of two integers. For example, the ratio of the two given numbers 3.6:2.4 can be expressed as 3:2 therefore, 3.6 and 2.4 are commensurable quantities.
The two quantities whose ratio can not be expressed as the ratio of two integers are known as incommensurable quantities. For example, the given numbers(3-root 2):5 cannot be expressed as the ratio of two integers hence, (3- root 2) and 5 are incommensurable quantities.