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

Question

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

Shiv2016 · Answer

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.

generis · Answer

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)

Denominator = (60)(5)

Result:  \frac{(60)  }{(60)(5)}

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

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

Hope that's right.

matthewsmith_89 · Answer

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

Answer is E

chetan2u · Answer

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.

stonecold · Answer

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.

Nishantg779 · Answer

Did the long calculation and ended up having -1/500. which = -0.22

FlyingCycle · Answer

generis

Your step "Everything x 10: (−16)(15)−(12)(35)/300" is wrong I guess.

Say, when you multiply 10 with (-1.6)(1.5) the answer will be (-16)(1.5) and not (-16)(15). You cannot use 10 to multiply both numbers. 
 
Therefore, you need to multiply the whole thing by 100 not 10. Then the denominator becomes 3000 not 300.

correct me If I am wrong.

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

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

Prep Toolkit

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