Question

Which set of numbers is correctly ordered from least to greatest? mc027-1.jpg, mc027-2.jpg’ 15.758, mc027-3.jpg mc027-4.jpg, 15.758, mc027-5.jpg, mc027-6.jpg mc027-7.jpg , 15.758, mc027-8.jpg, mc027-9.jpg mc027-10.jpg, mc027-11.jpg, 15.758, mc027-12.jpg

Answer 1

SOLUTION

TO DETERMINE

Which set of numbers is correctly ordered from least to greatest

EVALUATION

Here the given numbers are

$\displaystyle \sf{956 \sqrt{e} \:, \: 15.758 \: ,\: \frac{63}{4} \:, \: \frac{24\pi}{5} }$

We simplify the numbers as below

$\displaystyle \sf{956 \sqrt{e} = 956 \times \sqrt{2.718} = 956 \times 1.64 = 1567.84}$

$\displaystyle \sf{ \frac{63}{4} = 15.75 }$

$\displaystyle \sf{\frac{24\pi}{5} = \frac{24 \times 3.14}{5} = 15.072 }$

Thus from above we see that

15.072 < 15.75 < 15.758 < 1567.84

Thus rearranging the given set of numbers correctly ordered from least to greatest we get

$\displaystyle \sf{\frac{24\pi}{5} \: ,\: \frac{63}{4} \: ,\: 15.758 \: , \: 956 \sqrt{e} }$

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Answer 2

Answer:   the answer is A

Step-by-step explanation: