Evaluate \(\frac{(2.813 \times 10^{-3} \times 1.063)}{(5.637 \times 10^{-2})}\) reducing each number to two significant figures and leaving your answer in two significant figures.
0.056
0.055
0.054
0.54
Explanation
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Evaluate
2•813×10^-3×1•063÷5•637×10^-2
solve
2•813×10^-3
=0•02813
approximate 1•063=(1•1)
then
0•02813×1•1
=0•030943
now going for the denominator
5•637×10^-2
=0•05637
next approximation:
approximating 0•030943=(0•031)
approximating 0•05637=(0•056)
then divide 0•031 by 0•056
giving your answer to 2 significant figures
=0•055.
We are meant to approximate first before evaluating, and that's the only way to end up with the right answer, remember no calculator in Jamb
The answer is correct guys
Read the question very well
it states to to reduce each number to two significant figures before solving
To Evaluate (2.813× 10−3× 1.063)(5.637× 10−2) reducing each number to two significant figures and leaving your answer in two significant figures.
To evaluate the expression, let's first perform the multiplication:
(2.813 × 10^(-3) × 1.063) × (5.637 × 10^(-2))
= (2.99 × 10^(-3)) × (5.6 × 10^(-2))
Now, multiply the numbers:
2.99 × 5.6 ≈ 16.7
And add the exponents:
10^(-3) × 10^(-2) = 10^(-5)
So, the result is approximately 16.7 × 10^(-5), which, reduced to two significant figures, is approximately 17 × 10^(-5).
The reason for their answer is their approximation of "1.063 to 1.1". If they didn't, then their answer would also be "0.053" like the rest of us.
But truth be told, I don't see any need for the approximation.
