MATH 156

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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

  • MATH 156 -

    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.

  • MATH 156 -

    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

  • MATH 156 -

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

  • MATH 156 -

    ^ means to the power of.

    For instance, 4^2 is 4 squared and 5^3 is 5 to the third power or 5 cubed.

  • MATH 156 -

    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?

  • MATH 156 -

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

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