Standard form 2.150 into word form??

Write 0.216 as a rational number in lowest terms

lozanna [386]

Answer:

$=\frac{27}{125}$

Step-by-step explanation:

$0.216$

$\mathrm{Multiply\:and\:divide\:by\:10\:for\:every\:number\:after\:the\:decimal\:point.}$

$\mathrm{There\:are\:}3\mathrm{\:digits\:to\:the\:right\:of\:the\:decimal\:point,\:therefore\:multiply\:and\:divide\:by\:}1000$

$=\frac{0.216\cdot \:1000}{1000}$

$=\frac{216}{1000}$

$216,\:1000$

$\mathrm{The\:GCD\:of\:}a,\:b\mathrm{\:is\:the\:largest\:positive\:number\:that\:divides\:both\:}a\mathrm{\:and\:}b\mathrm{\:without\:a\:remainder}$

$2,\:3\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}$

$=2\cdot \:2\cdot \:2\cdot \:3\cdot \:3\cdot \:3$

$2,\:5\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}$

$=2\cdot \:2\cdot \:2\cdot \:5\cdot \:5\cdot \:5$

$\mathrm{The\:prime\:factors\:common\:to\:}216,\:1000\mathrm{\:are\:}$

$=2\cdot \:2\cdot \:2$

$\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2\cdot \:2=8$

$=8$

$=\frac{8\cdot \:27}{8\cdot \:125}$

$\mathrm{Cancel\:the\:common\:factor:}\:8$

$=\frac{27}{125}$

Hence, the correct answer is $=\frac{27}{125}$

6 0

2 years ago

The equation y = 1725 - 75x represents the amount of money y (in dollars) left in your lunch account after x weeks. 20 weeks go

garik1379 [7]

Y= -75x +1725
y= -75(20) +1725
y = -1500 + 1725
y= 225 = range
225= -75x +1725
225 - 1725= -75x
-1500=-75x
-1500/-75 = -75x/-75
x = 20 = domain

6 0

3 years ago

The pH scale for acidity is defined by pH= -log subscript 10 [H superscript+] where [H superscript+] is the concentration of hyd

gtnhenbr [62]

Answer:

The concentration of hydrogen ions in moles per liter (M) is $3.981 * 10^{-9}$

Step-by-step explanation:

As we know

The hydrogen ion concentration of any solution at pH is given by

$H^+ = 10^{-pH}$

Substituting the given values in above equation, we get -

$H^+ = 10^{-8.4}\\H^+ = 3.981 * 10^{-9}$ mol/l

The concentration of hydrogen ions in moles per liter (M) is $3.981 * 10^{-9}$

8 0

3 years ago

Roger completed a probability experiment with a coin. He flipped the coin 32 times, and it landed on tails eight times. He looke

pav-90 [236]

1 to 3

Since you know that he landed on tails 8 out of 32 times, he must have flipped heads for the flips he did not flip tails. So, subtract 32 minus 8, which equals 24, and your answer is 8 to 24. Simplify this like you would with a fraction; the greatest common factor is 8 so divide the "numerator" and the "denominator" by 8. Therefore your final answer is 1 to 3.

8 0

3 years ago

Read 2 more answers

Mike says the opposite of 5 is –5 and the absolute value of 5 is –5. Is he correct?

WARRIOR [948]

Answer: No he is not correct.

Step-by-step explanation: The absolute value of 5 is 5. The absolute value of -5 is also 5.

8 0

3 years ago

Standard form 2.150 into word form??​

Standard form 2.150 into word form??