QuestionCalculate the expression with correct significant figures: 13.56 and $\frac{5.91(1.234+0.234+10)}{5.0}$ .

Studdy Solution

STEP 1

Assumptions1. We are given the number13.56. We are given the expression $\frac{5.91(1.234+0.234+10)}{5.0}$ 3. We need to calculate the expression and compare it with13.564. We need to follow the rules of significant figures in our calculations

STEP 2

First, we need to calculate the expression inside the parentheses.
$1.234 +0.234 +10$

STEP 3

Add the numbers inside the parentheses.
$1.234 +0.234 +10 =11.468$

STEP 4

Now, we multiply the result with.91.
$.91 \times11.468$

STEP 5

Calculate the multiplication.
$5.91 \times11.468 =67.77548$

STEP 6

Now, we divide the result by5.0.
$\frac{67.77548}{5.0}$

STEP 7

Calculate the division.
$\frac{67.77548}{5.0} =13.555096$

STEP 8

Now, we need to round the result to the correct number of significant figures. The number5.0 has two significant figures, so our result should also have two significant figures.
$13.555096 \approx14$

STEP 9

Compare the result with13.56. $14 \neq13.56$ The calculation does not equal to13.56 when rounded to the correct number of significant figures.

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