Question

Match the following items.1.(-14) + 81 = 81 + (-14)multiplicative inverse2. • = 1additive identity3.101 + (29 + 417) = (101 + 29) + 417associative property of addition4.(24 + 15) = • 24 + • 15commutative property of addition5.-72 + 0 = -72distributive property

Answer 1

Given:

`\begin{gathered} (1)\rightarrow(-14)+81=81+(-14) \\ \\ (2)\rightarrow(13)/(17)\cdot(17)/(13) \\ \\ (3)\rightarrow101+(29+417)=(101+29)+417 \\ \\ (4)\rightarrow(1)/(3)(24+15)=(1)/(3)\cdot24+(1)/(3)\cdot15 \\ \\ (5)\rightarrow-72+0=-72 \end{gathered}`

Find-:

Match the item

Explanation-:

(1)

The commutative property of addition is:

So the commutative property of addition is:

`(-14)+81=81+(-14)`

(2)

The multiplicative inverse is:

So value is:

`(13)/(17)\cdot(17)/(13)=1`

(3)

Associative property of addition

So the value is:

`101+(29+417)=(101+29)+417`

(4)

Additive identity.

The property of additive identity is:

`A+0=A`

So the value is:

`-72+0=-72`

(5)

The distribution property is:

`a(b+c)=ab+ac`
`(1)/(3)(24+15)=(1)/(3).24+(1)/(2)\cdot15`