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20 Apr 2017, 23:51
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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
A. 0.24
B. 0.22
C. 0.06
D. −0.06
E. −0.22
26 Apr 2017, 12:14
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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
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.
