Compare the method of using expanded form and the method of using place value to multiply a decimal and a whole number????

Answers

Answer 1
Answer: Expanded form is extracting the numbers from its standard form and setting it apart as individual numbers according to position then multiplying it -the numbers of zeros increase
Example:
110 x 10500

100 + 10 x 10000 + 500 =  1155000

Place value is arranging it according to the highest number place value to lowest
like,
10
* 5
-----
50


Answer 2
Answer:

The multiplication of whole number and decimal expansion can be obtained by the use of base-ten system.

Further explanation:

The whole numbers is the series of numbers that starts from zero.

Given:

Explanation:

The place values are only natural numbers.

The base ten systems represent the position of a place value.

After decimal the first place is the tenth place, the second place is the hundredth and the third place is the thousandth.

Consider the decimal form is 0.23 and consider a whole number as 4.

The expanding of 0.23 can be expressed as follows,

0.23 = \frac{2}{{10}} + \frac{3}{{100}}

Now multiply 0.23 by 5.

\begin{aligned}{\text{Multiply}}&= 4* 0.23\n&= 4 * \frac{{23}}{{100}}\n&= \frac{{92}}{{100}}\n&= 0.92\n\end{aligned}

The multiplication of whole number and decimal expansion can be obtained by the use of base-ten system.

Learn more:

1. Learn more about inverse of the functionbrainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Decimals

Keywords: Methods to multiply, whole number, decimal, compare, contrast, methods, base ten system, place value, decimal expansion, natural numbers, real numbers.


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The diameter of a round dinner plate is 10 inches. What is the area of the plate? A. 314 square inches
B. 39.25 square inches
C. 39.25 inches
D. 78.5 square inches

Answers

The area of table is 78.5 square inches.

What is area?

A figure's area is the amount of space it takes up in two dimensions. To put it another way, it is the number that tells how many unit squares cover the surface of a closed figure. Square units, such as square inches, square feet, and so on, are the standard measurement for area.

Given the diameter of dinner plate = 10 inches

shape of plate is circular

area of circle is πr²

where r is radius

r = d/2 = 10/2 = 5 inches

A = πr²

A = 3.14(5)²

A = 3.14 x 25

A = 78.5 square inches

Hence area is 78.5 square inches.

Learn more about area;

brainly.com/question/27683633

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A=πrˆ2
Since the diameter is 10 inches, the radius must be half of that: 10/2=5.
A=π(5)ˆ2
A=25π
A=25π or 78.54 inches

Perpendicular distance between the planes 2x-y+2z=1 and 4x-2y+4z=1 is.......,Select the correct option from the given options.(a) 1/3
(b) 3
(c) 1/6
(d) 6

Answers

It’s option a 1/3 simple

a ball is dropped from a height of 100 inches the ball bounces, each time reaching a lower and lower height. the height of each bounce is 75% of the previous bounce what height will the ball reach after bouncing four time? how many bounces does it take for the ball to reach a heigh of less than one inch?

Answers


After the 'n'th bounce, the ball returns to a maximum height of

               (100) times (0.75)^n .

-- After 4 bounces, the maximum height is (100) (0.75)^4 = 31.64 inches.

-- To look for the maximum height of 1 inch,     (100) (0.75)^x = 1

Let's take the log of each side:    log(100) + x log(0.75) = 0

Subtract  log(100)  from each side:      x log(0.75) = -log(100)

Divide each side by  log(0.75) :            x  =  -log(100) / log(0.75).

log(100) = 2 .  So ...    x = -2 / log(0.75)  =  -2 / -0.124939  =  16.00785    

So the ball returns to a slim hair more than 1 inch high on the 16th bounce,
and returns to definitely less than 1 inch high on the 17th bounce.



In a right triangle, if the length of the hypotenuse is 39 and the length of one of the other sides is 15, what is the length of the third side? ​

Answers

Answer:

either way the answer is be =36 so the length of the missing side is 36 CM.

Suppose a normal distribution has a mean of 62 and a standard deviation of4. What is the probability that a data value is between 55 and 63? Round your
answer to the nearest tenth of a percent.
O A. 55.9%
O B. 56.9%
O C. 53.9%
O D. 54.9%

Answers

Answer:To solve this problem, we need to standardize the values of 55 and 63 to z-scores and then use the standard normal distribution table to find the area between those two z-scores.

The z-score for a value of 55 is:

z = (55 - 62) / 4 = -1.75

The z-score for a value of 63 is:

z = (63 - 62) / 4 = 0.25

Using a standard normal distribution table, we can find that the area to the left of z = -1.75 is 0.0401 and the area to the left of z = 0.25 is 0.5987. Therefore, the area between z = -1.75 and z = 0.25 is:

0.5987 - 0.0401 = 0.5586

To convert this area back to a percentage, we multiply by 100:

0.5586 * 100 ≈ 55.9%

Therefore, the answer is A. 55.9%.

Step-by-step explanation:

Which is the correct input-output table for the function ?f(x)=3/x+4

Answers

It seems the function f(x) is 3/(x+4).

If the function is f(x) = 3 / (x + 4), a table could be

x    f(x)

-8    -3/4

-7    -1

-6    -3/2

-5    -1

(-4 is no a valid input)

- 3   3

- 2    3/2

-1    1

0     3/4

1    3/5

2    3/6 = 1/2

3    3/7

4    3/8

If the function is f(x) =  (3/x) + 4

Just substitute different values for x and obtain the respective outputs. In this case, x has to be different of o, i.e. 0 is not a valid input.

The answer is option B in the screenshot.