Question

1. Which expression is equivalent to −2.1+(−5.9)+(−3.7) ?

−2.1−(5.9+3.7)

−(2.1−5.9)+(−3.7)

(2.1+5.9+3.7)

(2.1+5.9)+(−3.7)


2. Which expression is equivalent to −40+(−20)+(−60) ?

−(40−20)+(−60)

−20+(−40)+(−60)

−40−(20−60)

40+20+60


3. Select from the drop-down menu to correctly identify the property shown.
(associative, commutative, distributive)

−1.4+(−2.6+3.8)=(−1.4+(−2.6))+3.8

4. Select from the drop-down menu to correctly identify the property shown.
(associative, commutative, distributive)

−7.9+(−9.03+(−0.1))=−7.9+(−0.1+(−9.03))

5. Use properties of addition to evaluate the expression.

−35+7+(−15)

Enter your answer in the box.

Answer 1

1. −2.1−(5.9+3.7)

2. −20+(−40)+(−60)

3. associative properties

4. commutative properties

5. -43

Explanation:

Answer 2

1. Option b)
`-2.1 - (5.9+3.7)`

2. Option b)
`-20 + (-40) + (-60)`

3. Associative property

4. Commutative property

5. -43

Explanation:

1. We are given the expression:

`-2.1 + (-5.9) + (-3.7)`

Now, if we take minus common from the last two terms, then, the expression would be of the form:

`-2.1 - (5.9+3.7)`

Hence, the given expression is equivalent to option b)
`-2.1 - (5.9+3.7)`

2. We are given the expression:

`-40 + (-20) + (-60)`

Now, if we rearrange the terms in the expression, then, the expression would be of the form:

`-20 + (-40) + (-60)`

Hence, the given expression is equivalent to option b)
`-20 + (-40) + (-60)`

3. The property mentioned here is the associative property.

`a+(b+c) = (a+b)+c`

4. The property mentioned here is the commutative property.

`a+b = b + a`

5.

`-35 + 7 + (-15)\\=7 - (35 + 15)\\= 7 - 50\\= -43`