Question

GIVING 25 POINTS PLUS BRAINLIEST FOR CORRECT ANSWERS!!!!

Answer 1

Answer:

The answer to your question is:

Explanation:

e) 9.10 x 10³ + 2.2 x 10⁶ = 2.2091 x 10⁶

f) 1113.0 - 14.6 x 10² = -347 = -3.47 x 10²

g) 6.18 x 10⁻⁴⁵ + 4.72 x 10⁻⁴⁴ = 5.338 x 10⁻⁴⁴

h) 4.25 x 10⁻³ - 1.6 x 10⁻² = -0.01175 = -1.175 x 10 ⁻²

5.- Calculate ...

a) 2.63 x 10⁻⁴

b) 2.26 x 10¹³

c) 1.97 x 10²

d) 1.65 x 10⁻²³

e) 2.5 x 10⁻⁸³

f) 1.61 x 10¹⁴

g) 2 x 10⁷⁹

h) 2.37 x 10⁻⁷

Answer 2

Explanation:

Scientific notation is written in the form

$a \times {10}^{n}$

n is an integer between 1 and 10

Positive integer as exponent means a large number

Negative integer as exponent means small number

e.

First we have to add 9.10 and 2.20

$9.10 + 2.20 = 12.30$

But the number has to be between 1 and 10 so we move the decimal one place to the right

$= 1.23$

Then we have to add the exponent

${10}^{3} + {10}^{6}$

We are only adding the exponent

$3 + 6 = 9$

Because we moved the decimal one place more we add

$9 + 1 = 10$

So the answer is

$1.23 \times {10}^{10}$

f.

The problem is

$1113.0 - 14.6 \times {10}^{2}$

There is a problem. The problem is one is at scientific notation a d the other isn't. So we have to turn 1113.0 to a scientific notion by moving the decimal three places to the left

$1.113 \times {10}^{3}$

We also have another problem. The problem is 14.6 as we said before it has to be between 1 and 10 so we just have to move the decimal to the left on time

$1.46 \times {10}^{3}$

The we just add 2+1 to get 3

Now we just subtract

$1.113 - 1.46$

$= - .347$

Because it has to be between 1 and 10 we move one place to the right

$- 3.47$

When we subtract 3 and 3 we get zero but because we moved one place to the right we get

${10}^{ - 1}$

So the answer is

$3.47 \times {10}^{ - 1}$

a.

The problem is

$\frac{3.95 \times {10}^{2} }{1.15 \times {10}^{6} }$

The first step is to divide

$\frac{3.95}{1.15} = 3.434782609$

The we subtract the exponent

$2 - 6 = - 4$

So the answer is

$3.434782609 \times {10}^{ - 4}$

b.

This problem is

$(3.5 \times {10}^{2} ) \times (6.45 \times {10}^{10} )$

First we multiply

$3.5 \times 6.45 = 22.575$

Because it has to be between 1 and 10 we have to move the decimal to the right

$2.2575$

Now we add the exponent

$10 + 2 = 12$

But we also have to add one because we moved the decimal to so we add 1 to it so we get 13

The answer is

$2.2575 \times {10}^{13}$