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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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it snowed 1/4 inch every hour for 4 hours then it's no 1/2 inch every hour for 6 hours what was the total snowfall that was meas

ioda

Answer:

Step-by-step explanation:

4 hours × (¼ in)/hour = 1 in

6 hours × (½ in)/hour = 3 in

Total snowfall over ten hours = 1 + 3 = 4 in

8 0

3 years ago

Find the value of a and of b for which<br>(a) the solution of x2 + ax < b is<br>-2<x < 4

KengaRu [80]

Answer: $a = -2$

$b = 8$

Step-by-step explanation:

Given :

$x^{2} +ax$

re - writing the equation , we have

$x^{2} +ax-b$

we need to find the value of a and b for which -2<x < 4 , this means that the roots of the quadratic equation are -2<x < 4.

The formula for finding the quadratic equation when the roots are known is :

$x^{2}$ - sum of roots(x) + product of root = 0

sum of roots = -2 + 4 = 2

product of roots = -2 x 4 = -8

substituting into the formula , we have:

$x^{2} -2x-8=0$ , which could be written in inequality form as

$x^{2} -2x-8$

comparing with $x^{2} +ax-b$ , it means that :

$a = -2$

$b = 8$

3 0

2 years ago

Total revenue is 3,000 cost of goods 1,500 total selling expence is 500 what is profit

12345 [234]

Cost of goods = 1,500
Selling expense = 500

Total cost in selling = 1500 + 500 = 2000

Profit = Total Revenue - Total cost in selling = 3000 - 2000 = 1000

Profit = 1000

Hope this explains it.

8 0

3 years ago

Read 2 more answers

Which expression is equivalent to 1/2- (-8)?

postnew [5]

Answer:

1/2 + 8 is equivalent to 1/2 - (-8)

0.5 - (-8) is ALSO equivalent to 1/2 - (-8)

0.5 + 8 is another equation that is equivalent to 1/2 - (-8)

Step-by-step explanation:

5 0

2 years ago