Evaluate each of the following:- (–30) ÷ 10
- 50 ÷ (–5)
- (–36) ÷ (–9)
- (– 49) ÷ (49)
- 13 ÷ [(–2) + 1]
- 0 ÷ (–12)
- (–31) ÷ [(–30) + (–1)]
- [(–36) ÷ 12] ÷ 3
- [(– 6) + 5)] ÷ [(–2) + 1]
- (–30) ÷ 10
- 50 ÷ (–5)
- (–36) ÷ (–9)
- (– 49) ÷ (49)
- 13 ÷ [(–2) + 1]
- 0 ÷ (–12)
- (–31) ÷ [(–30) + (–1)]
- [(–36) ÷ 12] ÷ 3
- [(– 6) + 5)] ÷ [(–2) + 1]
Solution and Explanation
(a) (-30) ÷ 10 = (-30) × \(\frac {1}{10}\) = \(\frac {-30×1}{10}\) = -3
(b) 50 ÷ (-5) = 50 × \((-\frac 15) \)= \(\frac {50×(-1)}{5}\) = -10
(c) (-36) ÷ (-9) = (-36) × \(\frac 19\) = \(\frac {(-36)×(-1)}{9}\) = \(\frac {36}{9}\) = 4
(d) (-49) ÷ (49) = (-49) × \(\frac {1}{49}\)= \(\frac {-49}{49}\) = -1
(e) 13 ÷ [(-2) + 1] = 13 ÷ (-1) = 13 × \((\frac {-1}{1})\) = -13
(f) 0 ÷ (–12) = 0 × \((\frac {-1}{12})\) = \(\frac {0}{12}\) = 0
(g) (–31) ÷ [(–30) + (–1)] = (-31) ÷ (-30 - 1) = (-31) ÷ (-31) = (-31) × \((\frac {-1}{31})\) = \(\frac {31}{31}\) = 1
(h) [(–36) ÷ 12] ÷ 3 = [(-36) ×\(\frac {1}{12}\)] ×\(\frac {1}{3}\)= (-3) × \(\frac 13\) =\( \frac {-3}{3}\) = -1
(i) [(– 6) + 5)] ÷ [(–2) + 1] = (-6 + 5) ÷ (-2 + 1) = (-1) ÷ (-1) = (-1) × \(\frac {(-1)}{1}\) = 1
Top Questions on Division Of Integers
Questions Asked in CBSE Class VII exam
- Multiply and reduce to lowest form (if possible) :
(i) \(\frac{2}{3}\) × 2 \(\frac{2}{3}\)
(ii) \(\frac{2}{7}\) × \(\frac{7}{9}\)
(iii) \(\frac{3}{8}\) × \(\frac{6}{4}\)
(iv) \(\frac{9}{4}\) × \(\frac{3}{5}\)
(v) \(\frac{1}{3}\)× \(\frac{15}{8}\)
(vi) \(\frac{11}{2}\) × \(\frac{3}{10}\)
(vii) \(\frac{4}{5}\) × \(\frac{12}{7}\)- CBSE Class VII
- Multiplication Of Fractions
- Find the product:
(i)\(\frac{9}{2}\)×(-\(\frac{7}{4}\))
(ii) \(\frac{3}{10}\)×(-9)
(iii) -\(\frac{6}{5}\)×\(\frac{9}{11}\)
(iv) \(\frac{3}{7}\)×(-\(\frac{2}{5}\))
(v) \(\frac{3}{11}\)×\(\frac{2}{5}\)
(vi) \(\frac{3}{-5}\) ×\(\frac{-5}{3}\)- CBSE Class VII
- Operations On Rational Numbers
- Draw, wherever possible, a rough sketch of
- a triangle with both line and rotational symmetries of order more than 1.
- a triangle with only line symmetry and no rotational symmetry of order more than 1.
- a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry.
- a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.
- CBSE Class VII
- Line Symmetry And Rotational Symmetry
- Multiply and reduce to the lowest form and convert into a mixed fraction:
(i) 7 × \(\frac{3}{5}\)
(ii) 4 × \(\frac{1}{3}\)
(iii) 2 × \(\frac{6}{7}\)
(iv) 5 ×\(\frac{2}{9}\)
(v) \(\frac{2}{3}\)× 4
(vi) \(\frac{5}{2}\) × 6
(vii) 11 × \(\frac{4}{7}\)
(viii) 20 × \(\frac{4}{5}\)
(ix) 13 × \(\frac{1}{3}\)
(x) 15 × \(\frac{3}{5}\)- CBSE Class VII
- Multiplication Of Fractions
Using laws of exponents, simplify and write the answer in exponential form:
(i) 32 × 34 × 38 (ii) 615 ÷ 610 (iii) a3 × a2 (iv) 7x×72 (v) (52) ÷ 53 (vi) 25 × 55 (vii) a4 × b4 (viii) (34)3(ix) (220 ÷ 215)×23 (x) 8t ÷ 82- CBSE Class VII
- Exponents and Powers