What is 6.9 × 107 written in standard form?

Mathematics

2 answers:

Art [367]2 years ago

8 0

$6.9 \times 10^7 = \boxed{\bf{69,000,000}}$

mihalych1998 [28]2 years ago

3 0

6.9 x 10⁷ is a scientific notation.

6.9 x 10⁷ in standard form is 69,000,000

Scientific notation is used to represent very large numbers or very small numbers.

Scientific notation has three parts. Its parts are the coefficient, base of ten, and the exponents.

6.9 is the coefficient
10 is the base of 10
7 is the exponent

The must always be 1 digit before the decimal point in the scientific notation.
The exponent tells us the number of places the decimal point has moved. Its sign tells us the direction of the decimal point's movement.

Since the exponent is positive, it tells us that the decimal point moved from right to left.

69000000. to 6.9000000

If the exponent had a negative sign, it means that the decimal point moved from left to right.

example: 6.9 x 10⁻⁷
its standard form would have been .00000069

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Answer choices: 16/3 40/9 4/9 4/3

son4ous [18]

Answer:

0.44444444 or 4/9

Step-by-step explanation:

Since we know the value of $x$ , we can rewrite the equation replacing the variables.

$\frac{2}{3}^{2} + 3*\frac{2}{3} - 2$

Now solve. While solving, remember the order of operations.

$\frac{2}{3}^{2} + 3*\frac{2}{3} - 2 = 0.44444444$ or $\frac{4}{9}$

3 0

3 years ago

Can someone explain the process getting from:

spin [16.1K]

$\rm 5=e^{3b}$

The unknown b is stuck in the exponent position.
We can can fix that by using logarithms.
Log is the inverse operation of the exponential.

We'll take log of each side.
Log of what base tho?

Well, the base of our exponential is e,
so we'll take log base e of each side.

$\rm log_e(5)=log_e(e^{3b})$

We'll apply one of our log rules next:
$\rm \log(x^y)=y\cdot\log(x)$

This allows us to take the exponent out of the log,

$\rm log_e(5)=(3b)log_e(e)$

Another thing to remember about logs:
When the base of the log matches the inside of the log,
then the whole thing is simply 1,
$\rm log_{10}(10)=1$
$\rm log_5(5)=1$
$\rm log_e(e)=1$

So our equation simplifies to this,

$\rm log_e(5)=(3b)\cdot1$

As a final step, divide both sides by 3,

$\rm \frac13log_e(5)=b$

k, hope that helps!

6 0

3 years ago

Distributive property (-2)(a 6)

aivan3 [116]

Hello there.

Distributive property (-2)(a 6)

-2a^6

5 0

3 years ago

SEND ME A MEME! (picture)

Neko [114]

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