9th Math Definition Notes English
These are math definition notes of english medium of class 9th which is being taught in punjab, pakistan.
10th Class Math Definition Notes In English
These are definition notes for 10th grade mathematics taught to science students in Punjab, Pakistan.
class 9th math 3.1 solution
Question#1: Express each of the following numbers in scientific notations. Solution: \[\begin{align} & \text{Number }\qquad &| \qquad &\text{Scientific Notation} \\ & \text{(i) }5700\qquad &| \qquad &5.7\times {{10}^{3}} \\ & \text{(ii) }49800000\qquad &| \qquad &4.9\times {{10}^{7}} \\ & \text{(iii) }96000000\qquad &| \qquad &9.6\times {{10}^{7}} \\ & \text{(iv) 416.9}\qquad &| \qquad &4.169\times {{10}^{2}} \\ & \text{(v) }83000\qquad &| \qquad &8.3\times {{10}^{4}} \\ & \text{(vi) … Read more
class 9th math 1.3 solution
Question#1: Which of the following are conformable for addition? Solution: \[\begin{align}& A=\left[ \begin{matrix} 2 & 1 \\ -1 & 3 \\\end{matrix} \right],B=\left[ \begin{matrix} 3 \\ 1 \\\end{matrix} \right],C=\left[ \begin{matrix} 1 & 0 \\ 2 & -1 \\ 1 & -2 \\\end{matrix} \right] \\ & D=\left[ \begin{matrix} 2+1 \\ 3 \\\end{matrix} \right],E=\left[ \begin{matrix} -1 & 0 \\ … Read more
class 9th math 1.4 solution
Question#1: Which of the following product of matrices is conformable for multiplications? \(i\) \[\left[ \begin{matrix} 1 & -1 \\ 0 & 2 \\\end{matrix} \right]\left[ \begin{matrix} -2 \\ 3 \\\end{matrix} \right]\] Solution: \[\begin{align}\left[ \begin{matrix} 1 & -1 \\ 0 & 2 \\\end{matrix} \right]\left[ \begin{matrix} -2 \\ 3 \\\end{matrix} \right]\\\text{Order of first Matrix}&=2-by-\bbox[5px, border: 1px solid red]{2} … Read more
class 9th math 1.5 solution
Question#1: Find the determinant of the following matrices. \(i\) \[A=\left[ \begin{matrix} -1 & 1 \\ 2 & 0 \\\end{matrix} \right]\] Solution: \[\begin{align} \left| A \right|&=\left| \begin{matrix} -1 & 1 \\ 2 & 0 \\\end{matrix} \right| \\ & =\left( -1 \right)\left( 0 \right)-\left(1 \right)\left( 2 \right) \\ & =0-2 \\ & =-2 \\ \end{align}\] \(ii\) \[B=\left[ \begin{matrix} 1 & 3 … Read more
class 9th math 2.1 solution
Question#1: Identify which of the following are rational and irrational numbers. \[\begin{align} \left( \text{i} \right)\qquad &\sqrt{3}\qquad &&\text{Irrational number} \\ \left( \text{ii} \right) \qquad &\frac{1}{6}\qquad &&\text{Rational number} \\ \left( \text{iii} \right) \qquad &\pi \qquad &&\text{Irrational number} \\ \left( \text{iv} \right) \qquad &\frac{15}{2}\qquad &&\text{Rational number} \\ \left( \text{v} \right) \qquad &7.25\qquad &&\text{Rational number} \\ \left( \text{vi} \right) \qquad &\sqrt{29}\qquad &&\text{Irrational number} \\\end{align}\] Question#2: … Read more
class 9th math 2.2 solution
Question#1: Identify the property used in the following. \[\begin{align} \left( \text{i} \right)\qquad&a+b=b+a\qquad &&\text{Commutative Property w}\text{.r}\text{.t}\text{. addition } \\ \left( \text{ii} \right) \qquad &\left( ab \right)c=a\left( bc \right) \qquad &&\text{Associatve Property w}\text{.r}\text{.t}\text{. multiplication} \\ \left( \text{iii} \right) \qquad &7\times 1=7\qquad &&\text{Multiplicative Identity} \\ \left( \text{iv} \right) \qquad &x>y\text{ or }x=y\text{ or }x<y\qquad &&\text{Trichotomy Property} \\ \left( \text{v} \right) \qquad &ab=ba\qquad … Read more