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Alexus [3.1K]
3 years ago
14

Why do you multiply by a power of 10 when writing a repeating decimal as a rational number​

Mathematics
1 answer:
storchak [24]3 years ago
7 0

Suppose you have some repeating decimal like

x = 0.123123123...

The repeating part has a length of 3, and multiplying both sides by 10^3 = 1000 gives

1000x = 123.123123123...

The usefulness of this is that we can subtract x from this to eliminate the decimal part:

1000x - x = 123.123... - 0.123...

999x = 123

then solve for x as a fraction:

x = 123/999

and in this case the fraction reduces further to

x = 41/333

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Examine the following graph, where the function P(x) is mapped to I(x) by a translation.
Murrr4er [49]

f(x) = p(x) + 4 shows the correct transformation.

<h3>Define transformations.</h3>

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location. The most typical varieties are listed below: When a figure is translated, it is moved in any direction. Flipping a figure over a line is called reflection. Rotation is the process of turning a figure a specific amount around a point.

Given,

Function

f(x) = p(x) + 4

shows the correct transformation.

To learn more about transformation, visit:

brainly.com/question/11709244

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1 year ago
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nydimaria [60]
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3 years ago
I NEED HELP
noname [10]

Answer:

You can use a number line to subtract -6 from -7. The difference is -1.

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Serga [27]
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6 0
3 years ago
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