Question

convert into standard form
105/-135

Answer 1

Answer:

Step-by-step explanation:

The standard form of 105/-135 is :

105/-135

= -105/135...[ -105 and 135 both are divided by 5 so]

= -21/27...[ -21 and 27 both are divided by 3]

= -7/9

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Answer 2

Answer:-7.778*(10^-1)

Step-by-step explanation:

Question: 105/-135

First things first, we have to take 105/-135 to its lowest term

Divide both the numerator(105) and denominator(-135) by 5 ( 5 is a common factor to both 105 and-135)

=(105÷5)/(-135÷5)

=21/-27

21/-27 is still not in its lowest term as 3 can divide both as it is their common factor;

=(21÷3)/(-27÷3)

=7/-9

Now, this is a lowest term as no other factor can divide both. so the next thing we do is to divide 7 by -9 {i.e 7÷(-9)}

Using a calculator, the answer we obtain is;

= -0.777777∞

Converting this value to 4s.f (significant figures), we have;

≅-0.7778

The final step is to convert this value to standard form:

Standard form takes the format below;

(a number from 1.0 to 9.9999∞) * (10^x)

x above can be any negative or positive integer

Using this format, we move the decimal point to the appropriate position(i.e to obtain a value ;

Moving the decimal point to the right(→) gives a negative value of x, and moving the decimal point to the left (←), gives a positive value of x.

We get -7.778(a number between 1 and 9.99∞) by moving the decimal point once to the right(→).

This will give us a negative power, 1, of 10{i.e(10^-1)}, because we moved the decimal point ONCE.

[If we moved the decimal point twice, we would have a negative power,2, of 10{i.e(10^-2)}, but we cannot do that because we would have -77.78 which is not a value between 1 and 9.9999∞]

Therefore, our answer is;

=-7.778*(10^-1)