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What is the value of 25*8÷50÷2

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by BTGmoderatorDC » Mon Jan 07, 2019 8:47 pm

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What is the value of 25*8÷50÷2

A) 2
B) 8
C) 10
D) 12
E) 15

OA A

Source: Veritas Prep
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by [email protected] » Mon Jan 07, 2019 10:17 pm
Hi All,

We're asked for the value of 25*8÷50÷2. This question involves rules called "Order of Operations", but as long as you know those rules, the work here isn't too difficult.

In Order of Operations, both multiplication and division are on the same 'level' (meaning that you do those math 'steps' from left-to-right through a given calculation (assuming there is nothing higher in the order to deal with - such as parentheses or exponents). Since this calculation involves only multiplication and division, we start at the beginning and work across...

(25)(8) = 200.... 200/50 = 4.... 4/2 = 2

Final Answer: A

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by fskilnik@GMATH » Tue Jan 08, 2019 3:00 am
BTGmoderatorDC wrote:What is the value of 25*8÷50÷2

A) 2
B) 8
C) 10
D) 12
E) 15
Source: Veritas Prep
$$?\,\,\, = \,\,\,25 \cdot 8 \div 50 \div 2\,\,\, = \,\,\,\left[ {\left( {25 \cdot 8} \right) \div 50} \right] \div 2\,\,\,\mathop = \limits^{\left( * \right)} \,\,\,4 \div 2\,\,\, = \,\,\,2$$
$$\left( * \right)\,\,25 \cdot 8 = 25 \cdot 2 \cdot 4 = 50 \cdot 4$$

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
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by Scott@TargetTestPrep » Sun Jan 27, 2019 6:24 pm
BTGmoderatorDC wrote:What is the value of 25*8÷50÷2

A) 2
B) 8
C) 10
D) 12
E) 15
Recall that when an arithmetic problem consists only of the operations of multiplication and division, the operations are carried out from left to right. In other words, the first activity in this problem will be multiplication by 8, then division of that product by 50, and then division of that quotient by 2.

First we multiply 25 x 8:

25 x 8 = 200

Now we have:

200 ÷ 50 ÷ 2

Next we divide 200 by 50:

200 ÷ 50 = 4

Now we have:

4 ÷ 2 = 2

Answer: A

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