Question

reminder: the answer must have the same number of significant figures as the starting number with the least significant figures. are you stuck? check out this video on youtube (see digital copy on google classroom). directions: solve the following equations. be sure to use the correct number of significant figures in your answer. 1. 4.218×6.5 = before rounding: after rounding: 2. 23.01×12.346 = before rounding: after rounding: 3. 0.020×234.40 = before rounding: after rounding: 4. 25.01/4.3 = before rounding: after rounding: 5. 43.020/14.33 = before rounding: after rounding: 6. 2001/101.25 = before rounding: after rounding:

Explanation:

Step1: Calculate 4.218×6.5

$4.218\times6.5 = 27.417$
Since 4.218 has 4 significant - figures and 6.5 has 2 significant - figures, the answer should be rounded to 2 significant - figures. So before rounding it is 27.417 and after rounding it is 27.

Step2: Calculate 23.01×12.346

$23.01\times12.346=283.07146$
23.01 has 4 significant - figures and 12.346 has 5 significant - figures. The answer should be rounded to 4 significant - figures. So before rounding it is 283.07146 and after rounding it is 283.1.

Step3: Calculate 0.020×234.40

$0.020\times234.40 = 4.688$
0.020 has 2 significant - figures and 234.40 has 5 significant - figures. The answer should be rounded to 2 significant - figures. So before rounding it is 4.688 and after rounding it is 4.7.

Step4: Calculate 25.01÷4.3

$\frac{25.01}{4.3}\approx5.816279$
25.01 has 4 significant - figures and 4.3 has 2 significant - figures. The answer should be rounded to 2 significant - figures. So before rounding it is 5.816279 and after rounding it is 5.8.

Step5: Calculate 43.020÷14.33

$\frac{43.020}{14.33}\approx3.002093$
43.020 has 5 significant - figures and 14.33 has 4 significant - figures. The answer should be rounded to 4 significant - figures. So before rounding it is 3.002093 and after rounding it is 3.002.

Step6: Calculate 2001÷101.25

$\frac{2001}{101.25}=19.763062$
2001 has 4 significant - figures and 101.25 has 5 significant - figures. The answer should be rounded to 4 significant - figures. So before rounding it is 19.763062 and after rounding it is 19.76.

Answer:

1. Before Rounding: 27.417, After Rounding: 27
2. Before Rounding: 283.07146, After Rounding: 283.1
3. Before Rounding: 4.688, After Rounding: 4.7
4. Before Rounding: 5.816279, After Rounding: 5.8
5. Before Rounding: 3.002093, After Rounding: 3.002
6. Before Rounding: 19.763062, After Rounding: 19.76