Solve 109 + ((-9.81) * 12)
To solve this expression, we need to follow the order of operations, which is parentheses, multiplication, division, addition, and subtraction.
So first, we need to multiply -9.81 by 12:
-9.81 * 12 = -117.72
Now we substitute that result back into the original expression and add 109:
109 + (-117.72) = -8.72
Therefore, 109 + ((-9.81) * 12) equals -8.72.
What is the rule for determining the number of significant figures in this problem.
The rule for determining the number of significant figures in a number is:
- Non-zero digits are always significant.
- Any zeros between two significant digits are significant.
- A final zero or trailing zeros in the decimal portion ONLY are significant.
- Placeholder zeros, which come before the first non-zero digit are not significant.
Using this rule, we can determine the number of significant figures in each number of the expression:
109 has three significant figures.
-9.81 has three significant figures.
12 has two significant figures.
When we multiply -9.81 by 12, the result is -117.72, which has four significant figures. However, when we add 109 to -117.72, the result is -8.72, which has only two significant figures because 109 has only two significant figures.
Therefore, the answer -8.72 should be rounded to two significant figures, giving us -8.7.
You indicated that 109 has three significant figures
You are correct, I apologize for the mistake. 109 has three significant figures because all non-zero digits are significant. Therefore, the final answer should also have three significant figures, which is -8.72. Thank you for bringing this to my attention.
Solve 1009 + ((-9.81) * 12)
To solve this expression, we need to follow the order of operations, which is parentheses, multiplication, division, addition, and subtraction.
So first, we need to multiply -9.81 by 12:
-9.81 * 12 = -117.72
Now we substitute that result back into the original expression and add 1009:
1009 + (-117.72) = 891.28
Therefore, 1009 + ((-9.81) * 12) equals 891.28.
Why are there five significant figures rather than four
You are correct, I apologize for the mistake. When we multiply -9.81 by 12, the result is -117.72, which has four significant figures. However, when we add 1009 to -117.72, the result is 891.28, which also has four significant figures because 1009 has four significant figures.
Therefore, the answer 891.28 should be rounded to four significant figures. Thank you for bringing this to my attention.
So the correct answer would be 891.3
Yes, that's correct! The answer 891.28 should be rounded to four significant figures, giving us 891.3.
how many significant figures in 1001 - 1
When we subtract 1 from 1001, we get:
1001 - 1 = 1000
Both 1001 and 1 have four significant figures. In this subtraction, the trailing zero on 1 is not significant, as it is a placeholder to indicate the magnitude of the number. Therefore, the answer 1000 has four significant figures as well.
So, the answer 1000 has four significant figures.
why does 1 have four significant figures
I apologize for the mistake in my previous response. The number 1 only has one significant figure, because it is a non-zero digit.
Therefore, when we subtract 1 from 1001, the result is 1000, which also has only one significant figure because it is derived from the number 1.
So, the answer 1000 has one significant figure.
how many significant figures in 1001 - 999
When we subtract 999 from 1001, we get:
1001 - 999 = 2
Both 1001 and 999 have four significant figures. In this subtraction, we are not adding or removing any significant figures, because both numbers have the same number of digits. Therefore, the answer 2 also has four significant figures.
So, the answer 2 has four significant figures.
so the correct answer is 2.000
That's correct! The answer 2 should have four significant figures to match the number of significant figures in 1001 and 999. Therefore, the answer can be written as 2.000 to indicate that all four digits are significant.
how many significant figures in 1001 - 1001
When we subtract 1001 from 1001, we get:
1001 - 1001 = 0
In this case, we have two identical numbers, both of which have four significant figures. Since there is no actual arithmetic operation being performed, the answer 0 is exact and has an infinite number of significant figures.
Therefore, the answer 0 has an infinite number of significant figures. However, in practice, we would usually write the answer simply as 0, without indicating any significant figures.
how many significant figures in 10000000000 - 100
When we subtract 100 from 10,000,000,000, we get:
10,000,000,000 - 100 = 10,000,000,000
The number 100 has three significant figures, and the number 10,000,000,000 has 11 significant figures. In this subtraction, we are not adding or removing any significant figures because the number 100 has fewer digits than the number 10,000,000,000. Therefore, the answer 10,000,000,000 also has 11 significant figures.
So, the answer 10,000,000,000 has 11 significant figures.
why does 10,000,000,000 have 11 significant figures
The number 10,000,000,000 has 11 significant figures because all non-zero digits are significant. In this case, all ten digits of the number are non-zero, so they are all significant.
Note that if the number had any trailing zeros after the decimal point, those would not be significant unless they were explicitly stated or measured with certainty. However, in the case of the number 10,000,000,000, there is no decimal point or trailing zeros, so all digits are significant.
doesn't 10,000,000,000 have just one significant figure
I apologize for the confusion. You are correct that the number 10,000,000,000 has only one significant figure, as it consists of a single digit that is non-zero.
Therefore, when we subtract 100 from 10,000,000,000, the result is 10,000,000,000, which also has one significant figure.
So, the answer 10,000,000,000 has one significant figure.