Every fraction is a rational number. State whether the statement is true (T) or false (F).
The given statement is True Explanation A rational number can be defined as any number which can be represented in the... View Article
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The rational numbers 1/2 and -1 are on the opposite sides of zero on the number line. State whether the statement is true (T) or false (F).
The given statement is True Explanation A number line is a pictorial representation of numbers on a straight line. It’s a... View Article
The rational number -8/-3 lies neither to the right nor to the left of zero on the number line. State whether the statement is true (T) or false (F).
The given statement is False Explanation A number line is a pictorial representation of numbers on a straight line. It’s a... View Article
The rational number 7/-4 is lies to the right side zero on the number line. State whether the statement is true (T) or false (F).
The given statement is False Explanation A number line is a pictorial representation of numbers on a straight line. It’s a... View Article
The rational number 57/23 lies to the left of zero on the number line. State whether the statement is true (T) or false (F).
The given statement is False Explanation A number line is a pictorial representation of numbers on a straight line. It’s a... View Article
The reciprocal of x-1 is 1/x. State whether the statement is true (T) or false (F).
The given statement is False Explanation A reciprocal means an expression which when multiplied by another expression, gives unity (1) as... View Article
The population of India in 2004 – 05 is a rational number. State whether the statement is true (T) or false (F).
The given statement is True Explanation The population of India can always be a whole number. Hence, it is also a... View Article
All positive rational numbers lie between 0 and 1000. State whether the statement is true (T) or false (F).
The given statement is False Explanation A rational number, can be defined as any number which can be represented in the... View Article
0 is a rational number. State whether the statement is true (T) or false (F).
The given statement is True Explanation A rational number, can be defined as any number which can be represented in the... View Article
-3/4 is smaller than -2. 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. \(\begin{array}{l}\frac{-3}{4}\end{array} \) and -2.... View Article
Subtraction of rational number is commutative. State whether the statement is true (T) or false (F).
The given statement is False Explanation Subtraction of rational number is not commutative. Let x and y are any two rational... View Article
Rational numbers are closed under addition and multiplication but not under subtraction. State whether the statement is true (T) or false (F).
The given statement is False Explanation According to the properties of rational numbers: Rational numbers are closed under addition, subtraction, and... View Article
Between any two rational numbers there are exactly ten rational numbers. State whether the statement is true (T) or false (F).
The given statement is False Explanation There are unlimited rational numbers between two rational numbers. We can find unlimited rational numbers between... View Article
If x and y are negative rational numbers, then so is x + y. State whether the statement is true (T) or false (F).
The given statement is True Explanation For rational numbers x and y, if x < y then x – y is... View Article
For rational numbers x and y, if x < y then x - y is a positive rational number. State whether the statement is true (T) or false (F).
The given statement is False Explanation For rational numbers x and y, if x < y then x – y is... View Article
For any rational number x, x + (-1) = -x. State whether the statement is true (T) or false (F).
The given statement is False Explanation The appropriate form is for any rational number x, (x) × (-1) = – x.... View Article
-1 is not the reciprocal of any rational number. State whether the statement is true (T) or false (F).
The given statement is False Explanation The reciprocal is defined as the multiplicative inverse of a number. In other words, the... View Article
1 is the only number which is its own reciprocal. State whether the statement is true (T) or false (F).
The given statement is False Explanation The reciprocal is defined as the multiplicative inverse of a number. In other words, the... View Article
For all rational numbers a, b and c, a (b + c) = ab + bc. State whether the statement is true (T) or false (F).
The given statement is False Explanation The distributive Property States that when a factor is multiplied by the sum/addition of two... View Article
For every rational numbers x, y and z, x + (y × z) = (x + y) × (x + z). State whether the statement is true (T) or false (F).
The given statement is False Explanation For every rational numbers a, b and c, [a × (b + c) = (a... View Article
