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This is one of our many quizzes on Multiplication properties. Click on this to access more such competitive quizzes on Rational numbers.

Multiplication properties Quiz 2

mathematics

 Fill in the blank $\dfrac{{41}}{{17}} \times \dfrac{{29}}{5} = \dfrac{{29}}{5} \times $_____ 

 Use commutative property of multiplication.

 $\dfrac{{41}}{{17}} \times \dfrac{{29}}{5} = \dfrac{{29}}{5} \times \dfrac{{41}}{{17}} \\ \therefore \dfrac{{41}}{{17}}$ should be filled in the blank.

 Find the multiplicative inverse of $\dfrac{1}{{99}}$ 

 If we multiply a number with its multiplicative inverse then their product is unity

Let us consider $x$ to be the multiplicative inverse of $\dfrac{1}{{99}}$ $ \\  \Rightarrow \dfrac{1}{{99}} \times x = 1   \\  \therefore x = 99   \\  $

 Multiply the rational $\dfrac{{ - 91}}{3}$ with $\dfrac{{22}}{{ - 7}}$ 

 Simplify the negative number and use associative property

$\dfrac{{ - 91}}{3} \times \left( {\dfrac{{22}}{{ - 7}}} \right) = \dfrac{{ - 91}}{3} \times \left( {\dfrac{{ - 22}}{7}} \right) \\   = \left( {\left( { - 1} \right) \times \dfrac{{91}}{3}} \right) \times \left( {\left( { - 1} \right) \times \dfrac{{22}}{7}} \right) \\  \Rightarrow  \dfrac{{91 \times 22}}{{3 \times 7}} \\   = \dfrac{{2002}}{{21}} \\  $

 Fill up the blank $3 \times \left( { - 2} \right) = 2 \times ?$ 

 Split the negative term and use associative property of multiplication

$3 \times \left( { - 2} \right) = \left( { - 2} \right) \times 3 \\    = \left( {\left( { - 1} \right) \times 2} \right) \times 3 \\    = \left( {2 \times \left( { - 1} \right)} \right) \times 3 \\    = 2 \times \left( {\left( { - 1} \right) \times 3} \right) \\    = 2 \times \left( { - 3} \right) \\ $ On comparing we get, $ - 3$ as the answer

 Name the property of multiplication used in the below statement $ \\ 1287 \times 0 = 0$ 

 Check the statement for given properties in the options

In the statement, $1287 \times 0 = 0$ we can see that $1287$ is multiplier and $0$ is the multiplier, and when $0$ is multiplier or multiplicand then the product becomes $0$ according to the multiplication with zero property of multiplication.