0 = real number? Watch

spursj911
Badges: 0
Rep:
?
#1
Report Thread starter 10 years ago
#1
1. is 0 a real number?

2. in the graph of  |4-x|
do u draw y = -x
then translate it 4 units to the left, then reflect in the negative y in x axis?

3. in the graph of  |x-2a|
do u draw y = x
then translate it 2 units to right x = scale factor 1/2?


help pls!
0
quote
reply
Kolya
Badges: 14
#2
Report 10 years ago
#2
Yes, 0 is a real number.
quote
reply
Kevin_B
Badges: 1
Rep:
?
#3
Report 10 years ago
#3
1. Yes
2. Dunno what you tryna say
0
quote
reply
Gorst8
Badges: 0
#4
Report 10 years ago
#4
No, just draw the graph of y= -x + 4 but don't go beneath the x-axis, instead, just go back up at the same angle to which it went down....I hope you get what I'm saying lol.
It's because it's a modulus so it can't be negative on a graph.
0
quote
reply
Chaoslord
Badges: 4
Rep:
?
#5
Report 10 years ago
#5
is a real number zero?
0
quote
reply
spursj911
Badges: 0
Rep:
?
#6
Report Thread starter 10 years ago
#6
(Original post by Gorst8)
No, just draw the graph of y= -x + 4 but don't go beneath the x-axis, instead, just go back up at the same angle to which it went down....I hope you get what I'm saying lol.
It's because it's a modulus so it can't be negative on a graph.
ya i get that what about the 3rd question? i can do modulus but is the working out for a normal graph without the modulus correct
0
quote
reply
Simplicity
Badges: 15
Rep:
?
#7
Report 10 years ago
#7
Whats a fake number?
0
quote
reply
neomilan
Badges: 15
#8
Report 10 years ago
#8
(Original post by Simplicity)
Whats a fake number?
i think by real he means an integer/none complex
quote
reply
thewrong_girl
Badges: 0
Rep:
?
#9
Report 10 years ago
#9
(Original post by neomilan)
i think by real he means an integer/none complex
A real number is any number that isn't complex. It doesn't have to be an integer.
0
quote
reply
Simplicity
Badges: 15
Rep:
?
#10
Report 10 years ago
#10
i think by real he means an integer/none complex
Q doesn't make up the whole of R. Actually Q is only a small fraction of R, as its countable and R is not.
0
quote
reply
Kolya
Badges: 14
#11
Report 10 years ago
#11
(Original post by thewrong_girl)
A real number is any number that isn't complex. It doesn't have to be an integer.
It seems like every-other post I make says this, but what you have written is not true. Every real number is a complex number, but not every complex number is a real number.
quote
reply
Glutamic Acid
Badges: 14
#12
Report 10 years ago
#12
Is 0 an imaginary number?
quote
reply
Hancock orbital
Badges: 1
Rep:
?
#13
Report 10 years ago
#13
Every number is complex - it is just that the comples coefficient is zero.

Zero is a number - you run into problems when you count it as not being a number.

0 is both real and imaginary in the sensee the OP is refering to.
0
quote
reply
BJack
Badges: 19
Rep:
?
#14
Report 10 years ago
#14
(Original post by spursj911)
2. in the graph of  |4-x|
This is the same as the graph of y = 4-x but any negative y-values become positive. Sketch y = 4-x and it should be obvious how to draw the required graph.
0
quote
reply
ChiefNX
Badges: 0
Rep:
?
#15
Report 10 years ago
#15
(Original post by Glutamic Acid)
Is 0 an imaginary number?


0 \in \mathbb{N}_0 \subseteq \mathbb{Z} \subseteq \mathbb{Q} \subseteq \mathbb{R} \subseteq \mathbb{C}

So yep.

A complex number z is just z = p \pm qi with p, q \in \mathbb{R}. In the case of zero, p = q = 0.
0
quote
reply
The Bachelor
Badges: 12
Rep:
?
#16
Report 10 years ago
#16
(Original post by spursj911)
1. is 0 a real number?
What kind of question is this, considering that at your level they don't even define what a real number is.

Under every conventional definition, it is a real number.
0
quote
reply
Notnek
  • Community Assistant
Badges: 20
Rep:
?
#17
Report 10 years ago
#17
(Original post by ChiefNX)


0 \in \mathbb{N}_0 \subseteq \mathbb{Z} \subseteq \mathbb{Q} \subseteq \mathbb{R} \subseteq \mathbb{C}

So yep.

A complex number z is just z = p \pm qi with p, q \in \mathbb{R}. In the case of zero, p = q = 0.
That shows that 0 is a complex number not an imagianry number.

According to wikipedia, an imaginary number 'is a complex number whose squared value is a Real Number not greater than zero'.

Using this definition, 0 is an imaginary number but I have a feeling that it's one of those things in maths where definitions vary.

In conclusion, I'm not sure!
0
quote
reply
The Bachelor
Badges: 12
Rep:
?
#18
Report 10 years ago
#18
(Original post by notnek)
That shows that 0 is a complex number not an imagianry number.

According to wikipedia, an imaginary number 'is a complex number whose squared value is a Real Number not greater than zero'.

Using this definition, 0 is an imaginary number but I have a feeling that it's one of those things in maths where definitions vary.

In conclusion, I'm not sure!
Because 0 = 0i
0
quote
reply
Notnek
  • Community Assistant
Badges: 20
Rep:
?
#19
Report 10 years ago
#19
(Original post by The Bachelor)
Because 0 = 0i
Well yes but only if you define an imaginary number as 'ai' where a is a real number.

I found this definition online: 'An imaginary number is a number that when squared gives a real negative result'.

Using this, 0 is not an imaginary number. So like I said before, it depends on the definition.
0
quote
reply
Resok
Badges: 0
Rep:
?
#20
Report 10 years ago
#20
Keep your knickers on mate.
0
quote
reply
X

Quick Reply

Attached files
Write a reply...
Reply
new posts
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

University open days

  • University of Lincoln
    Mini Open Day at the Brayford Campus Undergraduate
    Wed, 19 Dec '18
  • University of East Anglia
    UEA Mini Open Day Undergraduate
    Fri, 4 Jan '19
  • Bournemouth University
    Undergraduate Mini Open Day Undergraduate
    Wed, 9 Jan '19

Did you get less than your required grades and still get into university?

Yes (22)
25.88%
No - I got the required grades (52)
61.18%
No - I missed the required grades and didn't get in (11)
12.94%

Watched Threads

View All