Question

example:

1. 6.450m × 3.400m × 2.1m = 46.053 m³

2.1 has the fewest sf (the other two number each have 4 sf), so the answer should be rounded to 2 sf: 46 m³

1. 0.003ml + 1.0222ml + 2.11ml = 3.135ml

2.11ml has the fewest sf (the others have 3 sf), so the answer should be rounded to 2 sf: 3.14ml

1. 0.003ml × 1.0222ml × 2.11ml = 0.00646926 ml³

0.003ml has the fewest sf so the final answer is rounded to 1 sf: 0.006ml³

1. 29.00g + 11.000g = 40g

29.00 has 2 sf which is the fewest sf, so the final answer must be in 2 sf: 40.00g

1. 29.00g × 11.000g = 319g²

29.00g has 4 sf which is the fewest sf in the equation so the final answer is rounded to 4 sf: 319.0g²

1. 16,340 g ÷ 23.42 g = 697.6942784
2. 17.6 ml − 12.73 ml = 4.87ml

Explanation:

Step1: Solve addition (Q3)

Calculate sum first:
$0.003\ \text{mL} + 1.022\ \text{mL} + 2.11\ \text{mL} = 3.135\ \text{mL}$

Step2: Round Q3 to correct SF

2.11 mL has 3 SF (fewest), round to 3 SF:
$3.135\ \text{mL}
ightarrow 3.14\ \text{mL}$

Step3: Solve multiplication (Q4)

Calculate product first:
$0.003\ \text{mL} \times 1.022\ \text{mL} \times 2.11\ \text{mL} = 0.00646926\ \text{mL}^3$

Step4: Round Q4 to correct SF

0.003 mL has 1 SF (fewest), round to 1 SF:
$0.00646926\ \text{mL}^3
ightarrow 0.006\ \text{mL}^3$

Step5: Solve addition (Q5)

Calculate sum first:
$29.00\ \text{g} + 11.000\ \text{g} = 40.00\ \text{g}$

Step6: Round Q5 to correct SF

29.00 g has 4 SF, 11.000 g has 5 SF; round to 4 SF:
$40.00\ \text{g}$

Step7: Solve multiplication (Q6)

Calculate product first:
$29.00\ \text{g} \times 11.000\ \text{g} = 319.000\ \text{g}^2$

Step8: Round Q6 to correct SF

29.00 g has 4 SF (fewest), round to 4 SF:
$319.000\ \text{g}^2
ightarrow 319.0\ \text{g}^2$

Step9: Solve division (Q7)

Calculate quotient first:
$16340\ \text{g} \div 23.42\ \text{g} = 697.6942784$

Step10: Round Q7 to correct SF

23.42 g has 4 SF, 16340 g has 4 SF; round to 4 SF:
$697.6942784
ightarrow 697.7$

Step11: Solve subtraction (Q8)

Calculate difference first:
$17.6\ \text{mL} - 12.73\ \text{mL} = 4.87\ \text{mL}$

Step12: Round Q8 to correct SF

17.6 mL has 3 SF (fewest), round to 3 SF:
$4.87\ \text{mL}$

Answer:

1. $3.14\ \text{mL}$
2. $0.006\ \text{mL}^3$
3. $40.00\ \text{g}$
4. $319.0\ \text{g}^2$
5. $697.7$
6. $4.87\ \text{mL}$