Heather needs 0.15 yards of fabric for Halloween costume.what is a decimal as a simplified fraction

1 answer:

6 0

There is not much that can be done to figure out how to write .15 as a fraction, except to literally use what the decimal portion of your number, the .15, means. Since there are 2 digits in 15, the very last digit is the 100th decimal place. So we can just say that .15 is the same as 15/100.

To change a percent to a decimal we divide by 100. This is the same as moving the decimal point two places to the left. For example, 15% is equivalent to the decimal 0.15. Notice that dividing by 100 moves the decimal point two places to the left.

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You can check that the limit comes in an undefined form:

$\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\dfrac{0}{0}$

In these cases, we can use de l'Hospital rule, and evaluate the limit of the ratio of the derivatives. We have:

$\dfrac{\text{d}}{\text{d}x}2\cos(x)-1 = -2\sin(x)$

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