Is -0.3 a rational number? is 3.14144144414444... a rational number?

Answers

Answer 1

Answer:

I will try to make this as simple as possible.

First off, we need to know what a rational number is: A rational number is any number that can be made by dividing 2 integers. For example:

1.5 would be a rational number because 1.5 = 3/2 (3 and 2 are both integers)

With that being said, let's begin.

First off, let's start with -0.3, let's ask ourselves, can we make this number by dividing 2 integers, the answer is yes, we can, by doing $(-3)/(10)$ we have the equivalent of -0.3, so now we know it's a rational number.

As for the second one, it can't be a rational number because it can't be made by dividing to integers, so the answer is:

-0.3 is a rational number, but 3.14144144414444 is not.

Hope this helped! c:

Related Questions

The area of the of a rectangle is 336 square inches. If the perimeter is 76. What is the shorter sides length?
Write 54+63 as the product of the gcf of 54 and 63 and another sum
What does the fraction 2 1/9 minus 7/6 equal
Samuel currently has an account balance of $3439.96. He open the account five years ago with the deposit of $3104.31. If the interest compounded quarterly what is the interest rate on the account?
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If $1200 is deposited in an account that pays 6.5% interest, what is the difference in the amount after 4 years between the amount earned if the principal is compounded annually and the amount earned calculated using simple interest?

Answers

compounded is
$A=P(r+1)^t$ for
P=principal
r=rate
t=time

simplie is
I=PRT
p=principal
r=rate
t=time

comound
P=1200
R=6.5%=0.065
T=4
$A=1200(0.065+1)^4$
$A=1200(1.065)^4$
A=1543.76
I=A-P
I=1543.76-1200
I=343.76

simple
P=1200
r=6.5%=0.065
t=4
I=1200*0.065*4
I=312

compare
compouned=343.76
simplie=312
difference=343.76-312=31.76

the difference is $31.76

the interest would be $312

A group of 10 friends will pack bottles of water into an unknown number of coolers for a trip to the beach. Each cooler will contain 25 bottles. At the beach, the friends will share the bottles equally. Write an expression with one variable to represent the number of bottles each friend will get. Then, use your expression to find how many bottles each friend will get if they bring 2 coolers. Explain your thinking.

Answers

Answer:

Step-by-step explanation:

25/cooler and there are 2 coolers, 25*2=50 there are 10 friends so 50/10=5

Please help me with math, worth 10 points! :D

Answers

Distribute:5x+20-4x=18-23simplify:1x+20=-5subtract 20:1x=-25Answer x=-25

1/8 multiplied by 14

Answers

$(1)/(8)* 14=\n\n(1)/(4* 2) * 7 * 2=\n\n(1)/(4)* 7=\n\n(7)/(4)=\n\n\boxed{\bf{1(3)/(4)}}$

1/8 x 14 = 1/8 x 14/1,
1/8 x 14/1 = 14/8,
14/8 = 1 3/4

A racquetball club charges $10 for a one-month trial membership. After the trail month, the regular membership fee is $12 per month.A. Write an equation that gives the total cost of a membership (C) as a function of the length of membership (m) in months. Explain how you got that answer.

B. Find the cost of the membership after 8 months.

Answers

membership is discounted $2 for first month
c=cost of one month
d=discount=$2
x=# of months
xc - 2= total cost
x for 1 month is 1, c is always 12, -2 is constant
1 x(12) - 2=10 for first month
8 months
8c -2=total cost for 8 months
8 x 12 - 2= 94 for 8 months

If a coin rotates 160 degrees in 6 seconds,how many degrees does it rotate in 20 seconds?

Answers

Okay so this is how I would do it but you can do it a different way
160/2 = 80 (2 b/c I want a whole # and 2 is a factor of 6 & 20)
so 80 degree in 2 seconds
so then 80 *10=800 (10 b/c 20/2=10)
but since there's only 360 degrees in a full circle
800/360=2.22
so we go back to 80 *2.22=177.6 degrees
-----------------------------------------------------------------------
v.s. 160 n
---- * --- (20 *160=3200/6=533.33
6 20

You can go w/ whatever answer you think is right b/c frankly I don't know but if I were you I would go with the second one because it seems more right and there's actually a method to the madness.

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