Diem said that the quotient of 4.2 /5 is about 8 tenths because 4.⅖ is close to 40 tenths/5. Do you agree with Diem’s reasoning? Explain why or why not.

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  yes, 42/10 is near 40/10

Step-by-step explanation:

(4.2)/5 is (42/10)/5, which is about (40/10)/5, which is 8/10.

I might think of it as (4.2)/5 is about 4/5, which is 8/10.

Diem's reasoning is good, and his estimate of the answer is appropriate.

step-by-step explanation:

in the absence of parentheses, i will have to make some assumptions:   i interpret your (3x+5/y^6)(4y^3/5)​ to mean:

3x + 5     4y^(3/5)       (3x + 5)(4)

* =

    y^6             1               y^(6-3/5)

if this is not what you expected, repost your question using parentheses to indicate whether you meant

4y^3

    or   4y^(3/5)

    5

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