Multiplication or division of a monomial by a number — lesson. Mathematics CBSE, Class 7.

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When multiplying or dividing a monomial by a number, the coefficient of a given monomial is multiplied or divided, but the variable factors remain the same.

Example:

1) Multiply the monomial \(2a\) by \(8\)

2 a \cdot 8 = 2 \cdot 8 a = 16 a

(\(2\) oranges times \(8\) is \(16\) oranges)

2) Divide the monomial \(14b\) by \(7\)

14 b : 7 = (14 : 7) b = 2 b

(if \(14\) bananas are divided equally between \(7\) people, each person will have \(2\) bananas)

3) Divide the monomial c by \(10\)

c : 10 = (1 : 10) c = \frac{1}{10} c = 0,1 c

(\(1\) lemon divided by \(10\) is \(1\) tenth of a lemon)

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4. Multiplication or division of a monomial by a number

Theory: