Q.1 Find the product of the following pairs of monomials.
(i) 4, 7p (ii) – 4p, 7p (iii) – 4p, 7pq (iv) 4, – 3p
(v) 4p, 0
Sol. The product of given pair of monomials are as follows:
(i)
(ii)
(iii)
(iv)
(v)
Q.2 Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively.
Sol. We know that, area of rectangle = length x breadth
For: area =
For: area =
For: area =
For: area =
For: area =
Q.3 Complete the table of products.
First monomial →__
Second monomial↓ |
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... | ... | ... | ... | ... |
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... | ... | ![]() |
... | ... | ... |
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... | ... | ... | ... | ... | ... |
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... | ... | ... | ... | ... | ... |
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... | ... | ... | ... | ... | ... |
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... | ... | ... | ... | ... | ... |
Sol. The complete table is as shown below:
First monomial →__
Second monomial↓ |
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Q.4 Obtain the volume of rectangular boxes with the following length, breadth and height respectively.
(i) (ii)
(iii)
(iv)
Sol. We know that, volume of rectangle = length x breadth x height
(i)
Volume =
(ii)
Volume =
(iii)
Volume =
(iv)
Volume =
Q.5 Obtain the product of
(i) (ii)
(iii)
(iv) (v)
Sol. The product are as follows:
(i)
(ii)
(iii)
(iv)
(v)