# 1. according to the motley fool, in 2014 there were 148.6 million personal federal tax return filed,

###### Question:

## Answers

[tex]1.486*10^8[/tex]

[tex]9.118*10^3[/tex]

Step-by-step explanation:

By definition, the form of Scientific notation is:

[tex]a*10^n[/tex]

Where the base is 10, "a" is any number from 1 to 10 but not including 10, and "n" is an integer.

Therefore to write a number in Scientific notation, the decimal point must be after the first digit and the power "n" must indicate how many places the decimal point is moved.

We know that:

[tex]148.6\ million=148,600,000\ millions[/tex]

Then, we need to move the decimal point 8 places to the left:

[tex]=1.486*10^8[/tex]

To write $9,118 in scientific notation, we need to move the decimal point 3 places to the left:

[tex]=9.118*10^3[/tex]

1. 4.5 × 10^5

2. 3.2 × 10^2

3. 3.21 × 10^7

20,000 Hz = 2 × 10^4 Hz

150,000 Hz = 1.5 × 10^5 Hz

8.76x10^-3

and 1.14 x 10^-1

you have to move the decimal to the right until you have a number other than zero in front of the decimal however many times you moved it you must put as a negative power to 10. so if you had 0.0000000542 it would be 5.42x10^-8 because i moved it the the right 8 times.

1) 0.395^11

2) 0.682^-9

Step-by-step explanation:

2 x 10^11 and 4 x 10^11

Step-by-step explanation:

We use scientific notation because it makes it easy to calculate things on very large and very small scales.

1 billion = 10^9

So 200 billion = 200 x 10^9

But we want that starting number to be between 1 and 10.

200 x 10^9 = 2 x 100 x 10^9 = 2 x 10^2 x 10^9 = 2 x 10^11

400 billion has the same number of zeros as 200 billion sooo

400 billion = 4 x 10^11

350 x 8,500,000 = 2,975,000,000 = 2.975 x 10^9

0.006 x 4000 = 24 = 2.4 x 10

2,975,000,000 / 24 = 2.975 x 10^9 / 2.4 x 10 =

2.975 x 10^8 / 2.4 = 1.24 (rounded) x 10^8

[tex]\text{The scientific notation:}\\\\a\cdot10^k\ \text{where}\ 1\leq a<10\ \text{and}\ k\in\mathbb{Z}[/tex]

[tex]18.4\ m=1.84\cdot10\ m\\\\0.000000000172\ g=0\underbrace{.0000000001}_{10\to}72=1.72\cdot10^{-10}\ g\\\\4292000\ s=4\underbrace{292000}_{\leftarrow6}\ s=4.292\cdot10^6\ s\\\\8.3\ \cdot10^{-4}\ m\\\\1.496\cdot10^8\ m\\\\23.1\cdot10^{-3}\ kg=2.31\cdot10\cdot10^{-3}\ kg=2.31\cdot10^{-2}\ kg[/tex]

Count how many places to the left you need to move the decimal point to get one digit to the left of the decimal point. That number of places is the exponent you use for the power of 10 when you write the number in scientific notation.

For example, 200. = 2.00×100 = 2.00×(10×10) = 2.00×10²

In scientifc notation, your numbers are

5.7909×10⁷ kilometers 1.082×10⁸ kilometers 1.496×10⁸ kilometers 2.2794×10⁸ kilometers 7.7833×10⁸ kilometers 1.4246×10⁹ kilometers4.4982529×10⁹ kilometersNo one is going to do your test or homework. I will only do one.

Neptune:

4, 495, 000,000 = 4.495 x 10^9