Fill in the blanks :
11. The product of the rational numbers is always a ____
12. The rational number that is equal to its negative is ______
13. If - + 2x =17/7then the value of x= _____
14. The minimum interior angle possible for a regular polygon is_______
15. Name the quadrilateral whose diagonals are equal___
State whether the following statements true or false:
16. Every natural numbers is an integer.
17. The reciprocal of a positive rational number is negative.
18. X=-5 will satisfy the equation 2x-5=-15.
Answers
Answer:
11.Answer: Rational. Step-by-step explanation: "The product of two rational numbers is rational." So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication.5 Sep 2020
12.1 and –1are the rational numbers that are equal to their reciprocals. (iii). 0 is the rational number that is equal to its negative. Hence our answer is, 0 is the rational number that is equal to its negative.
13.Well, first we find X. To do so, we want to isolate it so that just X is on one side and everything else is on the other side.
It is simplest to do so by subtracting 3 from 2X+3. We can do that as long as we also subtract the same number from the other side of the equals sign, so 2X+3–3=7–3
Doing the math, we have 2X+0=4, and we can drop the +0 without altering the equation, so 2X=4
Then we eliminate the 2 by dividing by 2, (2x)/2=4/2. Doing the math 1X=2. Like removing the +0, we can remove multiplication by 1 without changing anything, so we get X=2
And then we’re stuck. We can proceed no further, as you haven’t told us the relationship between X and x.
If 2X + 3 = 7, then what is the value of x?
You may have meant to ask “If 2x+3=7, then what is the value of x?” or “If 2X+3=7, then what is the value of X?” but that is not what you wrote. X and x are different from each other, and there is no intrinsic relationship between them, you may as well have written “If 2A+3=7, then what is the value of B?”
You could have written “If x=2X, and 2X+3=7, then what is the value of x?” Then we could either work out what X is as I did above, and then muliply it by 2, to get x=4, or we could not bother working out X, just move the +3 away so we get the value of 2X=7–3, do the math 2X=4, then substitute x for 2X since they are equal: x=4
But that wasn’t your question, and your question did not give us any information to help figure out what x might be.
Another way to put your question would have been to eliminate the irrelevant portion and just ask “What is the value of x?”
14.The maximum exterior angle possible for a regular polygon is 120. And minimum interior angle possible for a regular polygon is 60.
15.rectangle
A quadrilateral whose diagonals are equal and bisect each other is a rectangle.
16.All whole numbers are integers (and all natural numbers are integers), but not all integers are whole numbers or natural numbers. For example, -5 is an integer but not a whole number or a natural number.
17.The reciprocal of a positive rational number is always negative. ... RECIPROCAL: The reciprocal is also called the "Multiplicative Inverse". A reciprocal, or multiplicative inverse, is simply one of a pair of numbers that, when multiplied together is equal to 1. Now, let us solve the question.
18.Algebra is all about balance. You can do anything you want to one side of the equals sign so long as you balance it out by doing it to the other side too.
We want that x all by itself. So let's start by subracting the five. Remember, we have to do it both sides of the equals sign.
2x + 5 - 5 = 2x
0 - 5 = -5
So now we have 2x = -5. We get rid of the 2 by dividing by it.
2x/2 = x
-5/2 = -2.5
x = -2.5
Step-by-step explanation:
for no 18 refer to the sample
hope it helps u
Answer:
11. rational number
12. 0
13. x = 17/14
14. 60
15. rectangle
16. true
17. False.
Correct Statement :- The reciprocal of a positive rational number is never negative.
18. True
2x - 5 = -15
=> 2x = -15 + 5
(Transposing -5 to the right hand side becomes +5)
=> 2x = -10
{( -) (+) = - }
=> x = -10/2
(Transposing 2 to the right hand side become divide becomes in the right hand side it was multiplied by x so in r.h.s it becomes divide.)
=> x = -5
So, the value x=5 satisfies the equation 2x - 5 = -15.
I hope you have understood my answer.
Thank you