Answer:
The second and third equations are correct.
Step-by-step explanation:
Note that the equations are all the same, with the exception of the math operation (=,>,<,
, etc.). Let's do one calculation and then decide which of the statements is true.
The components may be simplified by separating the numbers from the exponents and doing the calculations separately:
(2.06x10^-2)(1.88x10^-1) becomes (2.06*1.88)*(10^-2 * 10^-1)
Left Side:
(2.06*1.88) = 3.91
(10^-2 * 10^-1) = 10^-3 [The exponents add when multiplying]
(2.06x10^-2)(1.88x10^-1) = 3.91x10^-3
Right side:
(7.69/2.3) = 3.343
(10^-2)/(10^-5) = 10^3 [The bottom exponent is subtracted from the top. ( -2 - (-5)) = 3 ]
(7.69x10^-2)/(2.3x10^-5) = 3.343x10^3
For all equations:
LEFT RIGHT
3.91x10^-3 3.343x10^3
We can now answer the question. Is the left side (3.91x10^-3 )
A. <
B. =>
C. >, or
D. =
to the right side (3.343x10^3)
We can drop the 10^-3 to make the comparison simpler, since it is the same on both sides. Think of it as dividing both sides by 10^3.
Correct?
A. 3.91 < 3.34 NO
B. 3.91 => 3.34 YES
C. 3.91 > 3.34, or YES
D. 3.91 = 3.34 NO
Answer:
Step-bThis is an interesting problem. To solve it I should find two irrational numbers r and s such that rs is rational.
I am not sure I am able to do that. However, I am confident that the following argument does solve the problem.
As we know, √2 is irrational. In particular, √2 is real and also positive. Then √2√2 is also real. Which means that it is either rational or irrational.
If it's rational, the problem is solved with r = √2 and s = √2.
Assume √2√2 is irrational. Let r = √2√2 and s = √2. Then rs = (√2√2)√2 = √2√22 = √22 = 2. Which is clearly rational.
Either way, we have a pair of irrational numbers r and s such that rs is rational. Or do we? If we do, which is that?
(There's an interesting related problem.)
Chris Reineke came up with an additional example. This one is more direct and constructive. Both log(4) and √10 are irrational. However
√10 log(4) = 10log(2) = 2.y-step explanation:
Answer:12
Step-by-step explanation:
16 • 6= 96
96-84=12
Answer: the answer is B
Step-by-step explanation:
