Question

adding and subtracting, answer using the correct significant figures.

1. \\(\

$$\begin{align}23.1014\\\\8.76\\\\\\underline{+\\ 13.1}\\end{align}$$

\\)

1. \\(50.012 - 3.2510 - 2.504 =\\)
2. \\(\

$$\begin{align}0.0001\\\\12.0302\\\\\\underline{+\\ \\ 1.010}\\end{align}$$

\\)
multiplication and division, answer using the correct significant figures.

1. \\(4.1(0.01501)(1.12) =\\)
2. \\(\frac{10.0314}{2.45}\\)
3. \\(\frac{300.414(5.5.014)}{1.123}\\)

Explanation:

Step1: Add numbers first

$23.1014 + 8.76 + 13.1 = 44.9614$

Step2: Round to 1 decimal place

(Least decimal places: 1, from 13.1)

Step3: Subtract stepwise

$50.012 - 3.2510 = 46.761$
$46.761 - 2.504 = 44.257$

Step4: Round to 3 decimal places

(Least decimal places: 3, from 50.012 and 2.504)

Step5: Add numbers first

$0.0001 + 12.0302 + 1.010 = 13.0403$

Step6: Round to 3 decimal places

(Least decimal places: 3, from 1.010)

Step7: Multiply all values

$4.1 \times 0.01501 \times 1.12 = 0.06941552$

Step8: Round to 2 significant figures

(Least sig figs: 2, from 4.1)

Step9: Divide numerator by denominator

$\frac{10.0314}{2.45} = 4.0944489796$

Step10: Round to 3 significant figures

(Least sig figs: 3, from 2.45)

Step11: Correct typo, compute numerator

Assume $5.5014$: $300.414 \times 5.5014 = 1652.7075796$

Step12: Divide by denominator

$\frac{1652.7075796}{1.123} = 1471.690$

Step13: Round to 4 significant figures

(Least sig figs: 4, from 5.5014)

Answer:

1. $45.0$
2. $44.257$
3. $13.040$
4. $0.069$
5. $4.09$
6. $1472$