Math, asked by nicholedeanda09, 9 months ago

Which correctly applies the distributive property to show an equivalent expression to (-2.1)(3.4)? A.(2)(3) - (0.1)(0.4) B.(-2)(3) + (-0.1)(0.4) C.(2.1)(3) - (2.1)(0.4) D.(2.1)(3) + (-2.1)(0.4)

Answers

Answered by cbtoots
45

Answer:

B

Step-by-step explanation:

-2 + -0.1 = -2.1

3 + .4 = 3.4

which then equals (-2.1)(3.4)

hope this helps!

Answered by amitnrw
23

Given :   (–2.1)(3.4)

To Find : Which correctly applies the distributive property

(2)(3) – (0.1)(0.4)

(–2)(3) + (–0.1)(0.4)

(2.1)(3) – (2.1)(0.4)

(–2.1)(3) + (–2.1)(0.4)

Solution:

(a + b) c  =  ac  + bc

a ( b + c)  = ab + ac

(–2.1)(3.4)

= (-2  - 0.1)(3.4)

= (-2)(3.4) + (-0.1)(3.4)

or

(–2.1)(3.4)

= (-2.1) (3 + 0.4)

= (-2.1) (3) + (-2.1)(0.4)

Matches with the last option:

(–2.1)(3.4)  =   (–2.1)(3) + (–2.1)(0.4)

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