{"id":23064,"date":"2022-05-23T12:00:13","date_gmt":"2022-05-23T06:30:13","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=23064"},"modified":"2023-11-10T10:27:49","modified_gmt":"2023-11-10T04:57:49","slug":"selina-concise-mathematics-class-7-icse-solutions-fundamental-concepts-including-fundamental-operations","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/selina-concise-mathematics-class-7-icse-solutions-fundamental-concepts-including-fundamental-operations\/","title":{"rendered":"Selina Concise Mathematics class 7 ICSE Solutions – Fundamental Concepts (Including Fundamental Operations)"},"content":{"rendered":"
ICSE Solutions<\/a>Selina ICSE Solutions<\/a>ML Aggarwal Solutions<\/a><\/p>\n APlusTopper.com provides step by step solutions for Selina Concise ICSE Solutions for Class 7 Mathematics. You can download the Selina Concise Mathematics ICSE Solutions for Class 7 with Free PDF download option. Selina Publishers Concise Mathematics for Class 7 ICSE Solutions all questions are solved and explained by expert mathematic teachers as per ICSE board guidelines.<\/p>\n Selina Class 7 Maths ICSE Solutions<\/a>Physics<\/a>Chemistry<\/a>Biology<\/a>Geography<\/a>History & Civics<\/a><\/p>\n POINTS TO REMEMBER<\/strong><\/p>\n SOME IMPORTANT POINTS<\/strong><\/p>\n TYPES OF BRACKETS:<\/strong> EXERCISE 11 (A)<\/strong><\/span><\/p>\n Question 1.<\/strong><\/span> Solution:<\/strong><\/span><\/p>\n Constant is only 8 others are variables<\/p>\n Question 2.<\/strong><\/span> Answer:<\/strong><\/span> Question 3.<\/strong><\/span> Solution:<\/strong><\/span> Question 4.<\/strong><\/span> Solution:<\/strong><\/span> Question 5.<\/strong><\/span> Solution:<\/strong><\/span> Question 6.<\/strong><\/span> Solution:<\/strong><\/span> Question 7.<\/strong><\/span> Solution:<\/strong><\/span> Question 8.<\/strong><\/span>\n
\n(i) Monomial : It has only one term
\n(ii) Binomial : It has two terms
\n(iii) Trinomial : It has three terms
\n(iv) Multinomial : It has more than three terms
\n(v) Polynomial : It has two or more than two terms.
\nNote<\/strong> : An expression of the type \\(\\frac { 2 }{ 5 }\\) does not form a monomial unless JC is not equal to zero.<\/li>\n
\n(A) Multiplication :<\/strong>
\n(i) Multiplications of monomials.
\n(a) Multiply the numerical co-efficient together
\n(ii) Multiply the literal co-efficients separately together.
\n(iii) Combine the like terms.
\n(B) Division :<\/strong>
\n(i) Dividing a polynomial by a monomial Divide each term of the polynomial by monomial and simplify each fractions.
\n(ii) While dividing one polynomial by another polynomial ; arrange the terms of both the dividend and the divisior both in descending or in ascending order of their powers and then divide.<\/li>\n<\/ol>\n
\nThe name of different types of brackets and the order in which they are removed is shown below:
\n(a) ____ ; Bar (Vinculum) bracket
\n(b) ( ); Circular bracket .
\n(c) { } ; Curly bracket and then
\n(d) [ ]; square bracket<\/p>\n
\nSeparate constant terms and variable terms from tile following :<\/strong>
\n<\/p>\n
\nConstant is only 8 others are variables<\/strong>
\n (i) 2x \u00f7 15<\/strong>
\n (ii) ax+ 9<\/strong>
\n (iii) 3x2<\/sup> \u00d7 5x<\/strong>
\n (iv) 5 + 2a-3b<\/strong>
\n (v) 2y – \\(\\frac { 7 }{ 3 }\\) z\u00f7x<\/strong>
\n (vi) 3p x q \u00f7 z<\/strong>
\n (vii) 12z \u00f7 5x + 4<\/strong>
\n (viii) 12 – 5z – 4<\/strong>
\n (ix) a3<\/sup>\u00a0– 3ab2<\/sup> x c<\/strong><\/p>\n
\n
\n<\/p>\n
\nWrite the coefficient of:<\/strong>
\n (i) xy in – 3axy<\/strong>
\n (ii) z2<\/sup> in p2<\/sup>yz2<\/sup><\/strong>
\n (iii) mn in -mn<\/strong>
\n (iv) 15 in – 15p2<\/sup><\/strong><\/p>\n
\n(i)<\/strong> Co-efficient of xy in – 3 axy = – 3a
\n(ii)<\/strong> Co-efficient of z2<\/sup> in p2<\/sup>yz2<\/sup> = p2<\/sup>y
\n(iii)<\/strong> Co-efficient of mn in – mn = – 1
\n(iv)<\/strong> Co-efficient of 15 in – 15p2<\/sup> is -p2<\/sup><\/p>\n
\nFor each of the following monomials, write its degree :<\/strong>
\n (i) 7y<\/strong>
\n (ii) – x2<\/sup>y<\/strong>
\n (iii) xy2<\/sup>z<\/strong>
\n (iv) – 9y2<\/sup>z3<\/sup><\/strong>
\n (v) 3 m3<\/sup>n4<\/sup><\/strong>
\n (vi) – 2p2<\/sup>q3<\/sup>r4<\/sup><\/strong><\/p>\n
\n(i)<\/strong> Degree of 7y = 1
\n(ii)<\/strong> Degree of – x2<\/sup>y = 2+1=3
\n(iii)<\/strong> Degree of xy2<\/sup>z = 1 + 2 + 1 = 4
\n(iv)<\/strong> Degree of – 9y2<\/sup>z3<\/sup> = 2 + 3 = 5
\n(v)<\/strong> Degree of 3m3<\/sup>n4<\/sup> = 3 + 4 = 7
\n(vi)<\/strong> Degree of – 2p2<\/sup>q3<\/sup>r4<\/sup> = 2 + 3 + 4 = 9<\/p>\n
\nWrite the degree of each of the following polynomials :<\/strong>
\n (i) 3y3<\/sup>-x2<\/sup>y2<\/sup> + 4x<\/strong>
\n (ii) p3<\/sup>q2<\/sup> – 6p2<\/sup>q5<\/sup> + p4<\/sup>q4<\/sup><\/strong>
\n (iii) – 8mn6<\/sup>+ 5m3<\/sup>n<\/strong>
\n (iv) 7 – 3x2<\/sup>y + y2<\/sup><\/strong>
\n (v) 3x – 15<\/strong>
\n (vi) 2y2<\/sup>z + 9yz3<\/sup><\/strong><\/p>\n
\n(i)<\/strong> The degree of 3y3<\/sup> – x2<\/sup>y2<\/sup>+ 4x is 4 as x2<\/sup>
\ny2<\/sup> is the term which has highest degree.
\n(ii)<\/strong> The degree of p3<\/sup>q2<\/sup> – 6p2<\/sup>q5<\/sup>-p4<\/sup>q4<\/sup> is 8 as p4<\/sup> q4<\/sup> is the term which has highest degree.
\n(iii)<\/strong> The degree of- 8mn6<\/sup> + 5m3<\/sup>n is 7 as – 8mx6<\/sup> is the term which has the highest degree.
\n(iv)<\/strong> The degree of 7 – 3x2<\/sup> y + y2<\/sup> is 3 as – 3x2<\/sup>y is the term which has the highest degree.
\n(v)<\/strong> The degree of 3x – 15 is 1 as 3x is the term which is highest degree.
\n(vi)<\/strong> The degree of 2y2<\/sup> z + 9y z3<\/sup> is 4 as 9yz3<\/sup> has the highest degree.<\/p>\n
\nGroup the like term together :<\/strong>
\n (i) 9x2<\/sup>, xy, – 3x2<\/sup>, x2<\/sup> and – 2xy<\/strong>
\n (ii) ab, – a2<\/sup>b, – 3ab, 5a2<\/sup>b and – 8a2<\/sup>b<\/strong>
\n (iii) 7p, 8pq, – 5pq – 2p and 3p<\/strong><\/p>\n
\n(i)<\/strong> 9x2<\/sup>, – 3x2<\/sup> and x2<\/sup> are like terms
\nxy and – 2xy are like terms
\n(ii)<\/strong> ab, – 3ab, are like terms,
\n– a2<\/sup>b, 5a2<\/sup>b, – 8a2<\/sup>b are like terms
\n(iii)<\/strong> 7p, – 2p and 3p are like terms,
\n8pq, – 5pq are like terms.<\/p>\n
\nWrite numerical co-efficient of each of the followings :<\/strong>
\n (i) y<\/strong>
\n (ii) -y<\/strong>
\n (iii) 2x2<\/sup>y<\/strong>
\n (iv) – 8xy3<\/sup><\/strong>
\n (v) 3py2<\/sup><\/strong>
\n (vi) – 9a2<\/sup>b3<\/sup><\/strong><\/p>\n
\n(i)<\/strong> Co-efficient of y = 1
\n(ii)<\/strong> Co-efficient of-y = – 1
\n(iii)<\/strong> Co-efficient of 2x2y is = 2
\n(iv)<\/strong> Co-efficient of – 8xy3 is = – 8
\n(v)<\/strong> Co-efficient of Ipy2 is = 3
\n(vi)<\/strong> Co-efficient of – 9a2b3 is = – 9<\/p>\n
\nIn -5x3<\/sup>y2<\/sup>z4<\/sup>; write the coefficient of:<\/strong>
\n (i) z2<\/sup><\/strong>
\n (ii) y2<\/sup><\/strong>
\n(iii) yz2<\/sup><\/strong>
\n (iv) x3<\/sup>y<\/strong>
\n (v) -xy2<\/sup><\/strong>
\n (vi) -5xy2<\/sup>z<\/strong>