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2 years ago

What are the steps to convert a number from standard notation to scientific notation

Mathematics

1 answer:

Margaret [11]2 years ago

3 0

Answer:

Step-by-step explanation:

Let's take 4200 as an example.

To convert 4200 into scientific notation, follow these steps:

- Move the decimal 3 times to left in the number so that the resulting number, m = 4.2, is greater than or equal to 1 but less than 10

- Since we moved the decimal to the left the exponent n is positive

n = 3

- Write in the scientific notation form, m × 10^n

= 4.2 × 10^3

Therefore, the decimal number 4200 written in scientific notation is 4.2 × 10^3 and it has 2 significant figures.

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Express 0.484848..... in p/q form

cupoosta [38]

<h3>Answer: 16/33</h3>

It's in p/q form where p = 16 and q = 33.

=======================================================

Work Shown:

x = 0.484848.....

100x = 48.4848.....

I multiplied both sides by 100 to move the decimal over 2 spots. Both decimal values for x and 100x have an infinite string of "48"s repeated after the decimal point. When we subtract, those infinite strings will cancel out

100x - x = 99x

48.4848..... - 0.484848..... = 48

So after subtracting straight down, we have the new equation 99x = 48 which solves to x = 48/99

Divide both parts by the GCF 3 to fully reduce

48/3 = 16

99/3 = 33

Therefore, x = 48/99 = 16/33 = 0.484848...

I recommend using a calculator to confirm that 16/33 = 0.484848...

Side note: your calculator may round the last digit, but this is of course rounding error

7 0

2 years ago

What is 30 divided into 896

a_sh-v [17]

Answer:

Math answers to fraction 896 divided by 30 can be calculated as follows.

896/30 math problems division = 29.8666666667. Therefore 29.8666666667 to 2 decimal places= 29.87

896/30 divided by 2 » (896/30) ÷ 2 » 29.8666666667 ÷ 2 = 14.9333333333 .

8 0

3 years ago

Read 2 more answers

Evaluate <br> 25/(-5)-(5)

Misha Larkins [42]

25/-5(-5)
25/25
0

the answer is 0

4 0

3 years ago

When two dice are rolled, what is the probability the two numbers will have a sum of 10

AlekseyPX

Answer:

The correct answer is option C. 1/12

Step-by-step explanation:

It is given that, two dies are rolled.

The outcomes of tossing two dies are,

(1,1), (1,2), (1,3), (1,4), (15), (1,6)

----- -------- ------ ------ ----- ----

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

Number of possible outcomes = 36

<u>To find the probability</u>

The possible outcomes are getting sum 10 which are,

(4,6), (5, 5) and (6,4)

Number of possible outcomes = 3

Therefore probability of getting sum 10 = 3/36 = 1/12

The correct answer is option C. 1/12

5 0

3 years ago

Read 2 more answers

A past survey of 1, 068,000 students taking a standardized test revealed that 8.9% of the students were planning on studying eng

lorasvet [3.4K]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The interval is $-0.0037 < p_1-p_2$

Step-by-step explanation:

From the question we are told that

The first sample size is $n _1 = 1068000$

The first sample proportion is $\r p_1 = 0.089$

The second sample size is $n_2 = 1476000$

The second sample proportion is $\r p_2 = 0.092$

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = (100 - 95 )\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table

The value is

$Z_{\frac{\alpha }{2} } =z_c= 1.96$

Generally the 95% confidence interval is mathematically represented as

$(\r p_1 - \r p_2 ) -z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2}} < (p_1 - p_2 ) < (\r p_1 - \r p_2 ) +z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2}}$

Here $\r q_1$ is mathematically evaluated as $\r q_1 = (1 - \r p_1)= 1-0.089 =0.911$

and $\r q_2$ is mathematically evaluated as $\r q_2 = (1 - \r p_2) = 1- 0.092 = 0.908$

$(0.089 - 0.092 ) -1.96 \sqrt{ \frac{0.089* 0.911 }{1068000} + \frac{0.092* 0.908 }{1476000}} < (p_1 - p_2 ) < (0.089 - 0.092 ) +1.96 \sqrt{ \frac{0.089* 0.911 }{1068000} + \frac{0.092* 0.908 }{1476000}}$

$-0.0037 < p_1-p_2$

3 0

3 years ago

What are the steps to convert a number from standard notation to scientific notation​

What are the steps to convert a number from standard notation to scientific notation