MATH 156
posted by NENAS on .
I need help with this question I'm reviewing for my final for next week. Thanks
Perform the indicated operation.
(84) ÷ [(1)  (7)]
AND
Find the GCF of the numbers using an appropriate method.
240, 10,000, and 4500
AND
Write the number in scientific notation.0.000 294
Thank you

1. Start by performing operations in the parentheses:
84 / [1 + 7]
A negative multiplied by a negative is a positive.
Now we have 84/[6], which equals 14
2. Start by finding prime factors of the numbers:
240 = 4*6*10 = 2^2 * 2 * 3 * 2 * 5 = 2^4 * 3 * 5
10000 = 10^4 = 2^4 * 5^4
4500 = 9 * 5 * 100 = 3^2 * 5 * 10^2 = 3^2 * 5 * 2^2 * 5^2 = 3^2 * 5^3 * 2^2
Now look for common factors in the prime factorizations:
240 = 2^4 * 3 * 5
10000 = 2^4 * 5^4
4500 = 3^2 * 5^3 * 2^2
The greatest power of 2 shared by all of them is 2^2.
The greatest power of 3 shared is 3^0.
The greatest power of 5 shared is 5^1. Therefore, the GCF is 2^2 * 3^0 * 5^1 = 4*1*5 = 20
3. 0.000294. Multiply by 10 until there is a number in the units place:
.000294 * 10 = .00294
.00294 * 10 = .0294
.0294 * 10 = .294
.294 * 10 = 2.94
You multiplied by 10 four times. Therefore, the number is 2.94 x 10^(4) in scientific notation. 
Thank you so much it makes a lot more sense to me now. I have my final exam next week so I reviewing over my work. Once again thank you

I have a question what do you mean by ^ what does that symbol mean I know that * means multiplication.

^ means to the power of.
For instance, 4^2 is 4 squared and 5^3 is 5 to the third power or 5 cubed. 
Has the content in this course allowed you to think of mathematics as a useful tool? If so, how? What concepts investigated in this course might apply to your personal and professional life?

what is the answer if I use lattice multiplication to find the product in 124 x 56