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

Answer:
2^6 * 3
Step-by-step explanation:
Answer is in bold and i will add step
Since they are vertical angles they will be the same. Since 6=146 2=146
Answer:
1. 7/41
2. 7/15
Step-by-step explanation:
1. Probability that it is a multiple of 6 given that it is a 2 digit number: There are 7 numbers that are a multiple of 6 and are 2 digits: 12, 18, 24, 30, 36, 42, and 48. There are 41 numbers that are 2 digits. So, it is 7/41
2. Probability that it is at least 20 given that it is prime. Out of the prime numbers from 1-50, 7 of them are at least 20 and there are 15 primes in that range in total. So, it is 7/15