Question

Which number is equivalent to?

Answer 1

I'm trying to explain to my daughter, but 8th grade was a long time ago

Answer 2

what is the number? -25?

Answer 3

2 5/9

Answer 4

and what numbers do can i pick from to choose what it is equivalent?

Answer 5

-2.59 (repeating)
-2.5
-2.5 (repeating)
-2.59

Answer 6

well equivalent means equal in value, amount, function or meaning....so 2 5/9 would have to be equivalent to " 2.59" unless 2 5/9 is negative then it would be equivalent to "-2.59"

Answer 7

Ok so -2.59

Answer 8

no, it's \[-2\frac{5}{9}\]isn't it?

Answer 9

yes

Answer 10

so calculate the decimal version of \(5/9\), then add \(2\), then put a \(-\) in front of it, what do you get?

Answer 11

a hint: there will NOT be a '9' in a correct answer here...

Answer 12

0.5555555555556

Answer 13

so -2.5 (repeating)

Answer 14

so far so good...0.5 with the 5 repeating

Answer 15

yes, -2.55555555555555555555555555555555 etc. :-)

Answer 16

Thank you!! There will be more if you can help me, it has been a long time since 8th grade and I need my daughter to pass her exam tomorrow lol

Answer 17

I have to turn into a pumpkin very shortly, but go ahead and ask

Answer 18

Which fraction is equivalent to 0.875?
A. 1/875
B. 7/8
C. 7/4
D. 35/4

Answer 19

I know obviously it's not C or D

Answer 20

B

Answer 21

well, you can convert a decimal to a fraction easily enough.

write the fraction as "decimal part" / big power of 10

where the big power of 10 is just big enough to cover all the digits

so \[0.875 = \frac{875}{1000}\]
and if you simplify that down, you get \(7/8\)

Answer 22

It is also convenient to remember the decimal value of \(1/n\) for various small values of \(n\):

\[1/2 = 0.5\]\[1/3 = 0.33333333\]\[1/4 = 0.25\]\[1/5= 0.2\]\[1/6 = 0.16666666666\]\[1/7 = 0.142857142857\]\[1/8 = 0.125\]\[1/9=0.111111\]\[1/10=0.1\]\[1/11=0.909090909090909090\]

Answer 23

Ok great that's what she got for that one

Answer 24

then you can recognize many decimals as fractions, or go the other way.

for example 0.875, you could build that up as 0.5 + 0.25 + 0.125 and those are 4/8 2/8 and 1/8 respectively, so 7/8 = 0.875

or 2/9 = 2*0.1111111 = 0.2222222

etc.

Answer 25

and of course you could check her conversion by punching 7/8 into a calculator

Answer 26

They aren't allowed to use calculators well at least on this packet they aren't

Answer 27

I understand that, but you were wanting to check her answer, right?

Answer 28

Oh yes lol I checked it on the calculator, but I wasn't positive I was doing it right haha

Answer 29

The next one is...
Classify 0.2002000200002000002... as termination, repeating, or irrational?

Answer 30

She put irrational

Answer 31

well, looks to me like it does not repeat with an identical pattern, and the ... suggests it does not terminate... so irrational looks correct to me.

Answer 32

sorry, time for me to go, have a good evening!