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
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!
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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