Question

What is the solution to the problem expressed to the correct number of significant figures 102900/12 +170•1.27

Answer 1

The solution to the problem (102 900 ÷ 12) + (170 × 1.27) = 8800.

Explanation:

Step 1.

Evaluate the expressions inside the parentheses (PEMDAS)

102 900 ÷ 12 = 8575

170 × 1.27 = 215.9

In multiplication and division problems, your answer can have no more significant figures than the number with the fewest significant figures.

Thus, the underlined digits are not significant, but we keep them in our calculator to avoid roundoff error.

Step 2.

Do the addition (PEMDAS).

8575 + 215.9 = 8790.9

Everything that you add to an insignificant digit gives an insignificant digit as an answer.

Thus, the underlined digits are not significant.

We must drop them and round up the answer to 8800.

Answer 2

8790.00 is the solution to the problem expressed to the correct number of significant figures 102900/12 +170•1.27.

Explanation:

Given:

102900/12 +170•1.27 ( . implies multiplication and '/' is for division)

to solve this BODMAS rule will be applied.

According to BODMAS, first simplfy the equation

$\frac{102900}{12}$ + 170 x 1.27

8575 + 170 x 1.27

now multiplication will be done:

8575 + 215.9

= 8790 is the answer.

the solution is based on the BODMAS rule which tells which mathematical operation is to be performed on the given set of numbers or equations.