Answer:
See below. You can set your calcluator to SCI mode and work these problems on your calculator in the normal way. (You may have to read the manual to understand how numbers are entered in scientific notation.)
Step-by-step explanation:
The key for all of these is to pay attention to the rules of exponents. Exponents of same-base factors in the numerator add; those in the denominator subtract. Everything else is regular multiplication and division.
For addition and subtraction by hand (your calculator doesn't care), all the numbers need to be adjusted so their multipliers are the same power of 10. It is often convenient to use the highest power. (Sometimes not. See 1f.)
1a. (1.2×10⁵) + (5.35×10⁶) = (0.12 + 5.35)×10⁶ = 5.47×10⁶
If you have trouble seeing that 1.2×10⁵ = 0.12×10⁶, you can rewrite it in a couple of steps.
... 1.2×10⁵ × (10⁶/10⁶)
... = 1.2 × (10⁵/10⁶) × 10⁶ . . . . rearrange the factors
... = 1.2 × 1/10 × 10⁶ . . . . . . . . simplify the factor involving 10⁵
... = 0.12 × 10⁶
1b. 6.91×10⁻² + 2.4×10⁻³ = (6.91 +0.24)×10⁻² = 7.15×10⁻²
1c. 9.70×10⁶ + 8.3×10⁵ = (9.70 +0.83)×10⁶ = 10.53×10⁶ = 1.053×10⁷
1d. 3.67×10² - 1.6×10¹ = (3.67 -0.16)×10² = 3.51×10²
1e. 8.41×10⁻⁵ - 7.9×10⁻⁶ = (8.41 -0.79)×10⁻⁵ = 7.62×10⁻⁵
1f. 1.33×10⁵ - 4.9×10⁴ = (13.3 -4.9)×10⁴ = 8.4×10⁴ (note that we chose the lower power of 10 here for the common factor because we could see the result would be less than 1 if we did it the other way. This avoided rescaling the number after the subtraction, as we had to do in 1c.)
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The attachment shows problem 1c worked on my calculator.
I am not sure, hope this helps!
Answer:
3600
Step-by-step explanation:
Given that there are 8 people to be seated around a circular table.
As per <u>formula:</u>
Number of ways that they <em>n</em> people can sit around a circular table =
We know that 2 people of out of these 8 are not allowed to sit together.
If we subtract the number of ways of these 2 people sitting together from the total number of ways of sitting of 8 people, we will get the number of ways that these 2 people do not sit together.
Number of ways of 2 people not sitting together = Total number of ways of 8 people sitting - Number of ways these 2 people sitting together.
Using formula:
Total number of ways =
Let these two people always sit together, so these 2 can be thought as one pair.
So, 6 people and 1 pair,
Total number of ways the 2 people sitting together =
Total number of ways that the two do not sit together =
Answer:
13 1/3 days
Step-by-step explanation:
Why: Because if 20 men can take 30 days then 75 being more will take a smaller number of days. Therefore you will do 20/75 x 30. This will give you 13 1/3 days
Answer:
(x+1) (7x - 4)
Step-by-step explanation:
7x² + 3x - 4
Use the diamond...
7 times -4 equals -28 and 7 plus -4 = 3
Use factor by grouping b/c a does not equal 1
7x² + 7x - 4x - 4
7x(x + 1) -4(x + 1)
(x+1) (7x - 4)