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# What is the value of (−1.6)(1.5) − (1.2)(3.5)/30 ?

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Math Expert
Joined: 02 Sep 2009
Posts: 49964
What is the value of (−1.6)(1.5) − (1.2)(3.5)/30 ?  [#permalink]

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20 Apr 2017, 23:51
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Difficulty:

35% (medium)

Question Stats:

71% (01:35) correct 29% (01:52) wrong based on 85 sessions

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What is the value of $$\frac{(−1.6)(1.5) − (1.2)(3.5)}{30}$$ ?

A. 0.24
B. 0.22
C. 0.06
D. −0.06
E. −0.22

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Posts: 697
Re: What is the value of (−1.6)(1.5) − (1.2)(3.5)/30 ?  [#permalink]

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21 Apr 2017, 01:06
1
I used approximation here.

= (-2)(2)- (1)(4)
=-8

=-8/30
=-4/15
=-0.2 something
Only answer that has negative 0.2 is E.
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Re: What is the value of (−1.6)(1.5) − (1.2)(3.5)/30 ?  [#permalink]

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26 Apr 2017, 12:14
1
Bunuel wrote:
What is the value of $$\frac{(−1.6)(1.5) − (1.2)(3.5)}{30}$$ ?

A. 0.24
B. 0.22
C. 0.06
D. −0.06
E. −0.22

Another method, because I get nervous about approximating and this method on scratch paper is a lot faster than it looks:

Everything x 10: $$\frac{(-16)(15) - (12)(35)}{300}$$

Quickly factor each term to see what can be factored out and/or canceled because unlike many on here I am not a human calculator:

$$\frac{(-4*4)(3*5) - (3*4)(5*7)}{(3*2*2*5*5)}$$

Then factor numerator: Each term has 3, 4, 5. So (60) [(-4) - (7)]

Denominator = (60)(5)

Result: $$\frac{(60) [(-4) - (7)]}{(60)(5)}$$

Cancel to get $$\frac{-11}{5}$$ = -2.2

Undo first operation, i.e. divide by 10 = -.22

Hope that's right.
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What is the value of (−1.6)(1.5) − (1.2)(3.5)/30 ?  [#permalink]

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26 Apr 2017, 19:03
I think the easiest way to approach this problem is to convert the decimals in fractions then convert the answer to decimal

-1 3/5(1 1/2) - (1 1/5)(3 1/2)/30
(-8/5(3/2) - 6/5(7/2))/30
(-24/10 - 42/10)/30
(-66/10) /30
-11/50
-0.22

Math Expert
Joined: 02 Aug 2009
Posts: 6965
Re: What is the value of (−1.6)(1.5) − (1.2)(3.5)/30 ?  [#permalink]

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26 Apr 2017, 19:54
Bunuel wrote:
What is the value of $$\frac{(−1.6)(1.5) − (1.2)(3.5)}{30}$$ ?

A. 0.24
B. 0.22
C. 0.06
D. −0.06
E. −0.22

Hi,

A logical method would be..

The numerator has TWO negative quantities being added and a positive quantity in denominator..
So our answer has to be a NEGATIVE quantity
Only D and E are left.

The negative quantity when added 1.6*1.5 ATLEAST>2 and 1.2*3.5 ATLEAST 4..
So we are looking at ATLEAST-6 in numerator.
For this minimum value has to be 6/30 or 0.2
Now let's look at the two choices..
Only E is left.
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What is the value of (−1.6)(1.5) − (1.2)(3.5)/30 ?  [#permalink]

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26 Apr 2017, 20:14
The numbers involved are too small.
So without complicating -> Lets just simply multiply them up.

$$\frac{(−1.6)(1.5) − (1.2)(3.5)}{30}$$=> $$\frac{-2.40-4.20}{30}$$ => $$\frac{-6.60}{30}$$ => $$\frac{-2.20}{10}$$ => -2.22

SMASH THAT E.

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Re: What is the value of (−1.6)(1.5) − (1.2)(3.5)/30 ?  [#permalink]

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26 Apr 2017, 21:48
Did the long calculation and ended up having -1/500. which = -0.22
Re: What is the value of (−1.6)(1.5) − (1.2)(3.5)/30 ? &nbs [#permalink] 26 Apr 2017, 21:48
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