For every rational number x, x × 0 = x. State whether the statement is true (T) or false (F).
The given statement is False Explanation Zero Property Zero Property of multiplication states that any number multiplied by 0 is equal... View Article
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For all rational numbers x and y, (x) × (y) = (y) × (x) State whether the statement is true (T) or false (F).
The given statement is True Explanation Let us assume that x = 7, y = 8 Then, LHS = 7 ×... View Article
The negative of 1 is 1 itself. State whether the statement is true (T) or false (F).
The given statement is False Explanation A number is said to be negative if it posses a negative sign in the... View Article
The negative of 0 does not exist. State whether the statement is true (T) or false (F).
The given statement is True Explanation In regular arithmetic, the number 0 does not possess any sign, so that −0, +0 and 0... View Article
The negative of the negative of any rational number is the number itself. State whether the statement is true (T) or false (F).
The given statement is True Explanation Let y be a positive rational number. Then, The negative of y is = –... View Article
If x + y = 0, then -y is known as the negative of x, where x and y are rational numbers. State whether the statement is true (T) or false (F).
The given statement is False Explanation If x and y are rational numbers, then y is known as the negative of... View Article
The reciprocal of a non-zero rational number q/p is the rational number q/p. State whether the statement is true (T) or false (F).
The given statement is False Explanation Reciprocal is the inverse of a value or a number. If n is a real... View Article
If x/y is the additive inverse of c/d, then, (x/y) – (c/d) = 0 State whether the statement is true (T) or false (F).
The given statement is False Explanation An additive inverse of a number is the value, which on adding with the original... View Article
For every rational number x, x + 1 = x. State whether the statement is true (T) or false (F).
The given statement is True Explanation Let x = 7 Then, 7 + 1 = 8 7 ≠ 8 So, we... View Article
The additive inverse of 1/2 is -2. State whether the statement is true (T) or false (F).
The given statement is False Explanation An additive inverse of a number is the value, which on adding with the original... View Article
The multiplicative inverse of -3/5 is 5/3 State whether the statement is true (T) or false (F).
The given statement is False Explanation The multiplicative inverse of a number x is given by x-1, such that when it... View Article
If a ≠ 0, the multiplicative inverse of a/b is b/a. State whether the statement is true (T) or false (F).
The given statement is True Explanation The multiplicative inverse of a number x is given byx-1, such that when it is... View Article
9/6 lies between 1 and 2. State whether the statement is true (T) or false (F).
The given statement is True Explanation Let us express the given rational numbers with a common denominator. 1 and 2 can be expressed... View Article
-7/2 lies between -3 and -4. State whether the statement is true (T) or false (F).
The given statement is True Explanation Let us express the given rational numbers with a common denominator. -3 and -4 can... View Article
5/10 lies between 1/2 and 1. State whether the statement is true (T) or false (F).
The given statement is False Explanation Let us express the given rational numbers with a common denominator. \(\begin{array}{l}\frac{1}{2}\end{array} \) and 1.... View Article
5/6 lies between 2/3 and 1. State whether the statement is true (T) or false (F).
The given statement is True Explanation Let us express the given rational numbers with a common denominator. 2/3 and 1 On... View Article
If r/s is a rational number, then s cannot be equal to zero. State whether the statement is true (T) or false (F).
The given statement is True Explanation If r/s is a rational number, then s cannot be equal to zero. And r... View Article
If p/q is a rational number, then p cannot be equal to zero. State whether the statement is true (T) or false (F).
The given statement is False Explanation If p/q is a rational number, p can be equal to zero (0) or any... View Article
If x/y is a rational number, then y is always a whole number. State whether the statement is true (T) or false (F).
The given statement is False Explanation If x/y is a rational number, then y is not equal to 0. But 0... View Article
The two rational numbers lying between -2 and -5 with denominator as 1 are _________ and _________.
The two rational numbers lying between –2 and –5 with denominator as 1 are -3 and -4. Explanation
