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2 years ago

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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Write a x (-a)x 13 x a x (-a) x 13 in power notation

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Answer:

$a\times (-a)\times 13\times a\times (-a)\times 13$ can be written in power notation as $a^{4}\times 13^{2}$

Step-by-step explanation:

The given expression

$a\times (-a)\times 13\times a\times (-a)\times 13$

Writing a\times (-a)\times 13\times a\times (-a)\times 13 in power notation:

Let

$a\times (-a)\times 13\times a\times (-a)\times 13$

= $[13\times13][(a\times (-a)\times a\times (-a)]$

$13\times13 = 13^{2}$ , $a\times a = a^{2}$ , $(-a)\times (-a) = (-a)^{2}$

So,

$=[13^{2}][a^2\times (-a)^2]$

$(-a)^2 = a^{2}$

So,

$=[13^{2}][a^2\times a^2]$

As ∵ $a^{m} \times a^{n}=a^{m+n}$

$=[13^{2}][a^{2+2}]$

As ∵ $a^{m} \times a^{n}=a^{m+n}$

$=13^{2}\times a^{4}$

$=a^{4}\times 13^{2}$

Therefore, $a\times (-a)\times 13\times a\times (-a)\times 13$ can be written in power notation as $a^{4}\times 13^{2}$

<em>Keywords: power notation</em>

<em>Learn more about power notation from brainly.com/question/2147364</em>

<em>#learnwithBrainly</em>

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