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kvasek [131]
3 years ago
7

Determine the quotient: (22.8 × 10–3) ÷ (5.7 × 10–6)

Mathematics
1 answer:
lana66690 [7]3 years ago
8 0

Answer:

0.399

Step-by-step explanation:

The key to doing this problem properly lies in knowing and following order of operations rules.

Here we must perform mult. and div.  before  addition and subtr., but even before that we must do all work enclosed in parentheses first.

(22.8 × 10–3) is evaluated by doing the mult. first, and then subtracting 3:

(228-3) = 225

and

(5.7 × 10–6) is evaluated by doing the mult. first, then subtracting 6:

(570-6) = 564.

Finally, we divide 225 by 564, obtaining 0.399 (after rounding off to three decimal places).


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Answer:

200 resource books

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Step-by-step explanation:

Let's define x as the amount of resource books that are in the library. As he has four times as many fiction books as resource books, that means he has 4*x fiction books.

We also know he has half as many nonfiction books as fiction books, that is 1/2*4*x = 2*x nonfiction books.

We just need to find out the value of x.

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Now we replace the x with 200 to know how many books he has of each type:

Resource books = x = 200

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Nonfiction books = 2*x = 2*200 = 400

Therefore, there are 200 resource books, 800 fiction books and 400 nonfiction books in the library.

The tape diagram is attached as an image.

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Step-by-step explanation:

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