Question

Correct up to 3 significant figures, 2.28×10^6+8.34×10^5=
A)10.6×10^6 B)3.11×10^6
C)1.06×10^6 D)3.11×10^5

Answer 1

Answer:

B is the correct answer

Explanation:

2.28x10*6+8.34x10*5

=10*5(2.28x10*1+8.34)

=10*5(22.8+8.34)

=31.14x10*5

=3.114x10*6 ≈ 3.11x10*6

Answer 2

Answer:

The result corrected up to 3 significant figures is $3.11\times 10^6$.

Explanation:

Given the mathematical equation,

$2.28\times 10^6+8.34\times 10^5$

Need to make the powers of both terms to be equal, so dividing and multiplying the second term with 10

$2.28\times 10^6+8.34\times 10^5\times 10^1\times 10^{-1}$

The equation can be rewritten as

$2.28\times 10^6+0.834\times 10^6$

Taking $10^6$ common from both the terms,

$(2.28+0.834)\times 10^6$

Adding the terms that are inside the bracket,

$3.114\times 10^6$

Need to check for the significant figures in the decimal number.

The number have 4 significant figures.

To correct up to 3 significant figures, the last digit has to be removed. As 4 is less than 5, simply 4 can be dropped.

Therefore, the result corrected to 3 significant figures is $3.11\times 10^6$.

So, the correct answer is option B.