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irinina [24]
2 years ago
6

What is the product of 8.2 x 10^2 and 3.4 x 10^5

Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
8 0

Answer:

278,800,000 (Real Number) or 2.788 *10^8 (Scientific Notation)

Concepts:

  • - Order of Operations

Parenthesis: ( )

Exponents: x²

Multiplication: ×

Division: ÷

Addition: +

Subtraction: -

Step-by-Step Solution:

8.2*10^2*3.4*10^5

Simplify exponents and square roots

8.2*10^2*3.4*10^5

8.2*10^2*3.4*100000

8.2*100*3.4*100000

820*3.4*100000

2788*100000

278800000

<h2>Answer:</h2>

278,800,000

Why learn this:

  • Order of operations is a basic rule of algebra. It tells us what to solve first when we have an equation with multiple functions, which is something that you will likely encounter throughout your math studies. The order is: Parentheses, Exponents, Multiplication and Division, then finally Addition and Subtraction. Remember that when you're solving within the parentheses, the Order of Operations applies!

Terms and topics

  • Order of operations

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Step-by-step explanation:

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I need help with #39-42, please explain.
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For question 39 & 40, we need to use the below equation to complete the sentence

l=m\sqrt{n}

Question 39:

When ' n ' increase, the \sqrt{n} will also increase and that multiplied with constant ' m ', the l will also increase.

Solution for question 39:

As n increases and m stays constant , l <u>increases</u>

-------

Question 40:

Solving the equation for m, we get

l = m\sqrt{n} \\ \\ m=\frac{l}{\sqrt{n}}

When ' l ' increases, the numerator increase, the denominator stays constant because 'n' stays constant, for this condition, the fraction increases.

Solution for question 40:

As l increase and n stays constant, m <em><u>increases</u></em>

------

For question 41 & 42, we need to use the below equation to complete the sentence

r=s^2/t^2

Question 41:

When s is triped, the equation will be...

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Solution for question 41:

If s is tripled and t stays constant, r is multiplied by <em><u>9</u></em>

--------

Question 42:

When t is doubled, the equation will be...

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Solution for 42:

If t doubled and s stays constant, r is multiplied by <em><u>1/4 or 0.25</u></em>


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