1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Llana [10]
4 years ago
8

Is the difference of two rational numbers always a rational​ number? Explain.

Mathematics
1 answer:
AlladinOne [14]4 years ago
7 0

Answer:

Yes

Step-by-step explanation:

Since they are rational numbers, let's call the first one a/b and the second one c/d where a,b,c, and d are integers.

Now we can subtract by finding a common denominator. Let's use bd.

So we have ad/bd-cb/bc= (ad-bc)/CD which is rational since we know ad and bc are integers being the product of integers and CD is also an integers.

Call ad-bd=P and call CD=Q where P and Q are integers. We now see the difference is of two rationals is rational.

You might be interested in
If a² + b² = z and ab = y, which of the following is equivalent to 4z + 8y? Show all the steps.
Ivenika [448]

Answer:

The answer to your question is:       (2a + 2b)²

Step-by-step explanation:

a² + b² = z

ab = y

Which is equivalent to 4z + 8y ?

Substitution

                                     4(a² + b²) + 8(ab)

Simplify                        4a² + 4b² + 8ab

Order                            4a² + 8ab + 4b²       It's a perfect square trynomial

Factorize                     (2a + 2b)²

7 0
4 years ago
Read 2 more answers
13.989 to the nearest tenth
Scrat [10]
13.989 to the nearest tenth is 14.0

Hope this helps
6 0
3 years ago
Read 2 more answers
Please help! Will pick Brainliest for the right answer!!!
Fynjy0 [20]

Answer:

3/5

4/3

2/1

3/1

Step-by-step explanation:

turn them to ratios and fractions and try to simplify

3/5=3/5

4/3=4/3

2/1=2/1

6/2=3/1

so put the end results in order

so all of them have a bigger numerator than denominator, except one. 3/5. Thats the slowest one.

4/3 isn't quite 2 wholes, but 2/1 is, so 4/3 is second last and 2/1 is second.

3/1 is the first.

4 0
3 years ago
FOR 20 POINTS!!!! Please help numbers 18, 19, and 20 i dont get them answers are good but it would be great if you explained the
cluponka [151]
Problem 18)

The distance from J to L is 30 units. We can count out the number of spaces or do subtraction to get 30-0 = 30. I subtracted the number line coordinate of J and L. The result is positive as distance is never negative.

Take 2/3 of this value to get (2/3)*30 = 20 which means that we start at J and add on 20 units to get 0+20 = 20

So the final answer is 20, which is where this point is located on the number line.
----------------------------------------------------------------
Problem 19)

The distance from A to B is 3 units because |-5-(-2)| = |-5+2| = |-3| = 3

Double this value to get 2*3 = 6

Now add 6 units to the coordinate of point A to get
-5+6 = 1

The location of this point is at 1 on the number line.
----------------------------------------------------------------
Problem 20)

From J to I, or vice versa, we travel 5 units. 

Multiply this by 1.5 to get 1.5*5 = 7.5

So we subtract 7.5 units from 0 (the coordinate of point J) getting us 0-7.5 = -7.5

Final Answer: -7.5
Note: this is the midpoint of -10 and -5 on the number line

7 0
3 years ago
What property describes the number sentence? 6+0=6
yanalaym [24]
Additive property 6+0=6
6 0
4 years ago
Read 2 more answers
Other questions:
  • 2 (4x - 8) + 16t = 48
    13·1 answer
  • The carefully measure out the ingredients to make their pies each pie they make has 5.33 cups of apples in the filling how many
    10·2 answers
  • 9-x over 5 = 3 <br> Solve for x
    5·2 answers
  • The probability that you roll a two on a six-sided die is 1 6 16 . If you roll the die 60 times, how many twos can you expect to
    5·2 answers
  • X+1.793=2.42
    8·1 answer
  • Rounded to the nearest tenth, what is the area of rectangle ABDC?
    14·1 answer
  • 15) My bag contains two books each of weight kg and 3/7 folders each of weight
    15·2 answers
  • Next 4 multiples of 1/6
    15·1 answer
  • Y=7x+8 can somebody help me
    14·1 answer
  • HELPPPP ASAPP!!!!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!