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2 answers:
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Question:
Solve each calculation. Be sure to report your answer with the correct number of significant figures.
5.61000 dg × 1.1010 dg
12.0 m ÷ 3.1415 m
Answer:
1. =
2.
Step-by-step explanation:
1. 5.61000 dg × 1.1010 dg
We start by representing each digit using scientific notation
Then, Multiply both numbers
First, rearrange
From law of indices, ;
So, we have
Because 5.61000 is given in 3 significant figures and 1.1010 is given in 4 significant figures, we approximate the result to 4 significant figures
This gives
Hence, =
2.
12.0 m ÷ 3.1415 m
Using proper notation
12.0 m ÷ 3.1415 m =
We start by representing 3.1415 using scientific notation
By substitution;
Take to the numerator
From law of indices, = 10000
Multiply
Divide
Because 12.0 is given in 2 significant figures and 3.1415 is given in 5 significant figures, we approximate the result to 5 significant figures