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vovangra [49]
3 years ago
13

Explain how to multiply decimals by powers of 10. Use 8.653 x 10000 as an example, to show how the multiplication is done.

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
4 0

Answer:

We move the decimal point to the right by a number of digit places equal to  the power of 10.

Step-by-step explanation:

If we want to multiply a decimal by a power of 10, we move the decimal point to the right by a number of digit places which is the power of the number ten or the number of zeros which are present in the multiplying number 10. If we do not have a digit after the last digit, we put zeros to complete the number of digits until, we have the number of digit places added after the decimal point which are equal to the power of 10.

Using the example given above

8.653 x 10000, we have four zeros. So, in index form it is

8.653 x 10⁴

Since we have the number 10 raised to the power of four or having 4 zeros, we move the decimal point 4 places to the right.

So, 8.653 x 10000 = 8.653 x 10⁴ = 86530

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Find the area of the shaded region
ale4655 [162]

Answer:

379.56ft²

Step-by-step explanation:

Oh lordy why, okay we got this:

So we're going to start with the area of the square, this is easy because all of the sides are 25ft, so we just have to plug into our formula for squares (base x height):

25 x 25 = 625

Now we have to do the semicircle, remember that the formula for the area of a circle is pi x radius², we're using 3.14 for pi, so we have to find the radius (half the diameter):

25 ÷ 2 = 12.5

12.5² = 156.25

3.14 x 156.25 = 490.625‬

Normally we would stop here, but because this is only a semicircle, we have to divide by two:

490.625‬ ÷ 2 = 245.3125‬

So, now that we have our two areas, we have to subtract the semicircle from the square:

625 - 245.3125‬ = 379.6875‬

Now, I realize that his answer isn't in your cute little word bank, but that because I rounded pi, so the closest is 379.56

So, the area of the figure is 379.56ft²

if this is wrong let me know so I can fix it

hope this helps:)

5 0
3 years ago
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. <br> IM GIVING 40 POINTS !! DONT SKIP :((.
algol [13]

Answer:

-

Step-by-step explanation:

a minus sign.

6 0
3 years ago
Read 2 more answers
Each year a scientist measures the water level of a local lake. Negative numbers indicate that the water level is below its hist
STatiana [176]

Answer:

A

Step-by-step explanation:

Because when a decimal is only one number after a zero, it equals ten of whatever number it is. Since 60 is greater than 41 it is -0.6 ( -0.60 ) has more negative value than -0.41.

5 0
3 years ago
Translate and solve:
borishaifa [10]

Given,

- 2.75p =  - 19.25

p =  \frac{ - 19.25}{ - 2.75}

p =  \frac{19.25}{2.75}

p = 7

6 0
2 years ago
How do I create an equation and solve for x
vekshin1

Answer:

Equation: (2x + 30) + 106 = 180

x = 22°

Step-by-step explanation:

<u>We know that the missing angle from within the triangle and the expression 2x + 30 makes 180 so we can say;</u>

180 - (33 + 41) = missing angle

180 - 74 = missing angle

<u>106</u>°<u> = missing angle</u>

Now we can set up our equation to solve for x:

(2x + 30) + missing angle = 180°

<u>(2x + 30) + 106 = 180</u>°<u> => This would be our equation:</u>

Now let's solve:

2x + 30 + 106 = 180°

2x + 136 = 180

2x = 180 - 136

2x = 44

x = 44/2

<u>x = 22°</u>

Hope this helps!

6 0
2 years ago
Read 2 more answers
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