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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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Phoenix [80]

The HL (hypotenuse leg) theorem states that any two right triangles that have a  congruent hypotenuse and a corresponding, congruent leg are congruent triangles.

Step-by-step explanation:

AE is congruent to itself.

AB is congruent to DE

<ADE and <EBA are right angles, making them right triangles

Therefore ADE is congruent to EBA by the HL theorem.

4 0
3 years ago
Find the product.<br><br> (2p + 7)(3p - 9)
Yakvenalex [24]
I think the answer might be 6p^2+3p-63
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What group of people did God send to give words of hope and hold the Jewish people accountable for sinful behaviour?
anyanavicka [17]

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It might be Mormons.

Step-by-step explanation:

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3 years ago
Solve x²+5x+6=0 by completing the square​
Brums [2.3K]

Answer:

x = -2

x= -3

Step-by-step explanation:

x 2+5x+6=0

To solve the equation, factor x^2+5x+6 using formula x^2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=5

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Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 6.

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Calculate the sum for each pair.

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The solution is the pair that gives sum 5.

a=2

b=3

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x+2)(x+3)

To find equation solutions, solve x+2=0 and x+3=0.

x=−2

x=−3

4 0
3 years ago
What is the area of the real store in square inches? What is the area of the real store in square feet? What are the dimensions
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Answer:

<u>The dimensions of the real store are 80 times bigger as per scale:</u>

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  • 12.5 ft * 15 ft = 187.5 ft²

6 0
3 years ago
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