Ex.9.1 Q1 Algebraic Expressions and Identities - NCERT Maths Class 8
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Question
Identify the terms, their coefficients for each of the following expressions.
(i) \(\quad 5xy{z^2} - 3zy\)
(ii) \(\quad 1 + x + {x^2}\)
(iii) \(\quad 4{x^2}{y^2} - 4{x^2}{y^2}{z^2} + {z^2}\)
(iv) \(\quad 3 - pq + qr - rp\)
(v) \(\begin{align}\quad \frac{x}{2} + \frac{y}{2} - xy\end{align}\)
(vi) \(\quad 0.3a - 0.6ab + 0.5b\)
Text Solution
What is known?
Expressions
What is unknown?
Terms and their coefficients
Reasoning:
The numerical factor of a term is called its numerical coefficient or simply coefficient.
Steps:
The terms and the respective coefficients of the given expressions are as follows.
- |
Terms |
Coefficients |
(i) |
\[\begin{align}&{{5}}xy{z^{\rm{2}}}\\&{{ -3}}zy\end{align}\] | \(\begin{align}5\\- 3\end{align}\) |
(ii) |
\(\begin{align}&1\\&x\\&{x^2}\end{align}\) | \(\begin{align}&1\\&1\\&1\end{align}\) |
(iii) |
\(\begin{align}&4{x^2}{y^2}\\- &4{x^2}{y^2}{z^2}\\&{z^2}\end{align}\) | \(\begin{align}&4\\-& 4\\&1\end{align}\) |
(iv) |
\(\begin{align}&{3}\\ - &pq\\&qr\\ - &rp\end{align}\) | \(\begin{align}&3\\- &1\\&1\\- &1\end{align}\) |
(v) |
\(\begin{align}&\frac{x}{2}\\&\frac{y}{2}\\- &xy\end{align}\) | \(\begin{align}&\frac{1}{2}\\&\frac{1}{2}\\- &1\end{align}\) |
(vi) |
\(\begin{align}&0.3a\\- &0.6ab\\&0.5b\end{align}\) |
\(\begin{align}&0.3\\- &0.6\\&0.5\end{align}\) |