Mathematics, 05.10.2019 06:30 ellaemtagedeane

Convert into p/q form a) 2.345 b. 6.2525… c. 0.13…..
plss answer

Answers: 1

Show answers

Answers

A.) To convert a non-repeating decimal into a fraction, we divide the decimal number (without the decimal point) by a power of 10 corresponding to the number of digits after the decimal point and then reduce the resulting fraction to its lowest term.
i.e.
$2.345= \frac{2345}{10^3} =\frac{2345}{1000}=\frac{2345 \div 5}{1000 \div 5}=\frac{469}{200}$

b.) To convert a repeating decimal number into fraction we follow the following steps.

Step 1: form an equation with the decimal number you want to convert.
i.e. x=6.2525

Step 2: move the decimal point to the position after the repeating digit by multiplying both sides of the equation with a power of 10 corresponding to the number of places the decimal point moved.
i.e. here, the repeating digits are 25 and the decimal point will move two places to get to the position after 5. Thus both sides will be multiplied by 100 (10^2)

Thus,

Step 3: move the decimal point to the position before the repeating digit by multiplying both sides of the equation with a power of 10 corresponding to the number of places the decimal point moved.
i.e. here, the repeating digits are 25 and the decimal point is already in the position before 2 from the equation in step 1.
Thus, x=6.2525

Step 4: Subtract the equation resulting from step 3 from the equation resulting from step 2.
i.e.
$100x=625.2525 \\ -x=6.2525 \\ \\ \Rightarrow 99x=619 \\ \Rightarrow x= \frac{619}{99}$
Therefore, $6.2525... = \frac{619}{99}$

c.) Simillarly, to convert 0.132222 to fraction we follow the following steps.

Step 1: form an equation with the decimal number you want to convert.
i.e. x=0.132222

Step 2: move the decimal point to the position after the repeating digit by multiplying both sides of the equation with a power of 10 corresponding to the number of places the decimal point moved.
i.e. here, the repeating digit is 2 and the decimal point will move three places to get to the position after 2. Thus both sides will be multiplied by 1000 (10^3)

Thus,

Step 3: move the decimal point to the position before the repeating digit by multiplying both sides of the equation with a power of 10 corresponding to the number of places the decimal point moved.
i.e. here, the repeating digit is 2 and the decimal point will move two places to get to the position before 2 from the equation in step 1. Thus, we multiply both sides by 100.
i.e, 100x=13.2222

Step 4: Subtract the equation resulting from step 3 from the equation resulting from step 2.
i.e.
$1000x=132.2222 \\ -100x=13.2222 \\ \\ \Rightarrow 900x=119 \\ \Rightarrow x= \frac{119}{900}$
Therefore, $0.132222... = \frac{119}{900}$

Answer from: Quest

Dis the correct answer

Answer from: Quest

d is the correct answer

step-by-step explanation:

x= 8 because 3x = 3 * 8, and 3*8 = 24

Another question on Mathematics

Mathematics, 21.06.2019 16:30

Which statement about perfect cubes is true

Answers: 1

Answer

Mathematics, 21.06.2019 18:10

Drag the tiles to the boxes to form correct pairs. not all tiles will be used. match each set of vertices with the type of quadrilateral they form.

Answers: 1

Answer

Mathematics, 21.06.2019 20:40

Which table represents points on the graph of h(x) = 3√-x+2?

Answers: 3

Answer

Mathematics, 21.06.2019 21:00

Abakery recorded the number of muffins and bagels it sold for a seven day period. for the data presented, what does the value of 51 summarize? a) mean of bagels b) mean of muffins c) range of bagels d) range of muffins sample # 1 2 3 4 5 6 7 muffins 61 20 32 58 62 61 56 bagels 34 45 43 42 46 72 75

Answers: 2

Answer

You know the right answer?

Convert into p/q form a) 2.345 b. 6.2525… c. 0.13…..
plss answer...

Questions