Question

Match the following

Column 1	Column 2
$425\times 136=425\times (6+30+100)$	Commutativity under multiplication.
$2\times 49\times 50=2\times 50\times 49$	Commutativity under addition.
$80+2005+20=80+20+2005$	Distributivity of multiplication over addition.

Answer 1

The explanation for $\left(a\right)$:

Find the operation used:

If $\mathrm{a}\times \mathrm{b}=\mathrm{a}\times (\mathrm{c}+\mathrm{d}+\mathrm{e})$

This is the distributive of multiplication over addition.

Hence $\left(a\right)\to \left(\mathrm{iii}\right)$

The explanation for $\left(b\right)$:

Find the operation used:

If $\mathrm{a}\times \mathrm{b}=\mathrm{b}\times \mathrm{a}$

This is the commutativity under multiplication.

Hence $\left(b\right)\to \left(\mathrm{i}\right)$

The explanation for $\left(c\right)$:

Find the operation used:

If $\mathrm{a}+\mathrm{b}=\mathrm{b}+\mathrm{a}$

This is the commutativity under addition.

Hence $\left(c\right)\to \left(\mathrm{ii}\right)$

Hence

$$\begin{gathered} \left(a\right)\to (iii) \\ \left(b\right)\to (i) \\ \left(c\right)\to (ii) \end{gathered}$$