Sydney applied the steps below to find the product of (3.1)(–1.6).

Step 1: (3.1)(–1.6) = (–1.6)(3.1)
Step 2:                   = _______________
Step 3:                   = (–4.8) + (–0.16)
Step 4:                   = –4.96

Which expression correctly fills in the blank in Step 2?
(1.6)(3) – (1.6)(0.1)
(–1)(3) + (–0.6)(0.1)
(1)(3) – (0.6)(0.1)
(–1.6)(3) + (–1.6)(0.1)

Question

contestada

Respuesta :

musiclover10045 musiclover10045 · Answer 1 · 2017-11-01T21:06:00+01:00

to get the numbers in step 3

multiply -1.6 by 3

then multiply -1.6 by 0.1

and add them together

answer is D) (–1.6)(3) + (–1.6)(0.1)

Answer Link

pinquancaro pinquancaro · Answer 2 · 2019-10-22T07:46:23+02:00

Answer:

In Step 2 the expression is Option 4 is correct.

Step-by-step explanation:

Given : Sydney applied the steps below to find the product of [tex](3.1)(-1.6)[/tex].

To find : Which expression correctly fills in the blank in Step 2?

Solution :

Step 1 : Commutative property applied, [tex]ab=ba[/tex]

[tex](3.1)(-1.6)=(-1.6)(3.1)[/tex]

Step 2 - Apply distributive property [tex]a(b+c)=ab+ac[/tex] by re-write 3.1=3+0.1

[tex](3.1)(-1.6)=(-1.6)(3+0.1)[/tex]

[tex](3.1)(-1.6)=(-1.6)(3)+(-1.6)(0.1)[/tex]

Step 3 - Solve the multiple,

[tex](3.1)(-1.6)=(-4.8)+(-0.16)[/tex]

Step 4 - Add the terms,

[tex](3.1)(-1.6)=-4.96[/tex]

Therefore, In Step 2 the expression is Option 4 is correct.