$(i)$ Identify the terms and their factors in the following expressions
Show the terms and factors by tree diagrams.
$(a)$. $x-3$
$(b)$. $1+x+x^2$
$(c)$. $y-y^3$
$(d)$. $5xy^2+7x^2y^7$
$(e)$. $– ab +2b^2-3a^2$
$(ii)$. Identify terms and factors in the expressions given below:
$(a)$. $-4x+5$
$(b)$. $-4x+5y$
$(c)$. $5y +3y^2$
$(d)$. $xy+2x^2y^2$
$(e)$. $pq+q$
$(f)$. $1.2 ab-2.4 b+3.6 a$
$(g)$. $\frac{3}{4}x+\frac{1}{4} $
$(h)$ . $0.1p^2+0.2q^2$

AcademicMathematicsNCERTClass 7

Given: $(i)$.  $(a)$. $x-3$         $(b)$. $1+x+x^2$             $(c)$. $y-y^3$


$(d)$. $5xy^2+7x^2y$          $(e)$. $– ab +2b^2-3a^2$


$(ii)$.   $(a)$. $-4x+5$           $(b)$. $-4x+5y$          $(c)$. $5y +3y^2$


$(d)$. $xy+2x^2y^2$            $(e)$. $pq+q$       $(f)$. $1.2 ab-2.4 b+3.6 a$


$(g)$. $\frac{3}{4}x+\frac{1}{4}$                     $(h)$ . $0.1p^2+0.2q^2$


To do: $(i)$ To identify the terms and their factors in the following expressions. Show the terms and factors by tree diagrams.

$(ii)$. To identify terms and factors in the expressions given below.

Solution:

$(i)$.

$(a).\ x-3$

Term $=x,\ -3$ and Factor $=x;\ -3$



$(b).\ 1+x+x^2$

Term $= 1,\ x,\ x^2$ and Factor $= 1,\ x,\ (x,\ x)$



$(c).\ y -y^3$

Term $= y,\ -y^3$ and Factor $= y,\ (-1,\ y,\ y,\ y)$



$(d).\ 5xy^2+7x^2y$

Term $= 5xy^2,\ 7x^2y$ and Factor $= (5,\ x,\ y,\ y),\ (7,\ x,\ x,\ y)$



$(e).\ -ab+2b^2 -3a^2$

Term $= -ab,\ 2b^2,\ -3a^2$ and Factor $= (-a,\ b),\ (2,\ b,\ b),\ (-1,\ 3,\ a,\ a)$



$(ii)$.

S.No.ExpressionTermsFactors
$(a)$$-4x+5$
$-4x,\ 5$$-4,\ x,\ 5$
$(b)$
$-4x+5y$
$-4x,\ 5y$$-4,\ x,\ 5,\ 5,\ y$
$(c)$
$5y +3y^2$
$5y,\ 3y^2$$5,\ y,\ 3,\ y,\ y$
$(d)$
$xy+2x^2y^2$
$xy,\ 2x^2y^2$$x,\ y,\ 2,\ x,\ x,\ y,\ y$
$(e)$
$pq+q$
$pq,\ q$$p,\ q,\ q$
$(f)$
$1.2 ab-2.4 b+3.6 a$
$1.2ab,\ -2.4b,\ 3.6a$$1.2,\ a,\ b,\ -2.4,\ b,\ 3.6,\ a$
$(g)$
$\frac{3}{4}x+\frac{1}{4} $
$\frac{3}{4}x,\ \frac{1}{4}$$\frac{3}{4},\ x,\ \frac{1}{4}$
$(h)$
$0.1p^2+0.2q^2$
$0.1p^2,\ 0.2q^2$$0.1,\ p,\ p,\ 0.2,\ q,\ q$
raja
Updated on 10-Oct-2022 13:38:09

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