Use mathematics table to evaluate the following giving each answer correct to three significant figure
A,0.3581x 0.02847/0.009418x 3.219?
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Online, “*” is used to indicate multiplication to avoid confusion with “x” as an unknown.
To evaluate the expression A = 0.3581 × 0.02847 / 0.009418 × 3.219:
1. Begin by multiplying 0.3581 by 0.02847:
A = 0.3581 × 0.02847
A = 0.010186107
2. Next, divide the result by 0.009418:
A = 0.010186107 / 0.009418
A = 1.083747897
3. Finally, multiply the result by 3.219:
A = 1.083747897 × 3.219
A = 3.489 (rounded to three significant figures)
Therefore, the value of A, correct to three significant figures, is 3.489.
To evaluate the expression A = (0.3581 × 0.02847) / (0.009418 × 3.219), we can follow these steps:
Step 1: Multiply the values within the parentheses:
0.3581 × 0.02847 = 0.010201507
Step 2: Multiply the denominators:
0.009418 × 3.219 = 0.030327842
Step 3: Divide the result from Step 1 by the result from Step 2:
0.010201507 / 0.030327842 = 0.336250257
Now, we need to round the final answer to three significant figures:
The third significant figure in the answer is 6, which is greater than or equal to 5. To round up, we increase the second significant figure by 1. Therefore, the rounded answer is 0.336.
Hence, A = 0.336 (correct to three significant figures).