Q77 of 169 Page 9

In each of the following, state whether the statements are true (T) or false (F).
Rational numbers are closed under addition and multiplication but not under subtraction.

False

To add or subtract two rational numbers, you first need to change your rational numbers so that they share a common denominator.

Therefore, they are closed under subtraction.

In each of the following, state whether the statements are true (T) or false (F).

If x and y are negative rational numbers, then so is x + y.

In each of the following, state whether the statements are true (T) or false (F).

Between any two rational numbers there are exactly ten rational numbers.

In each of the following, state whether the statements are true (T) or false (F).

Subtraction of rational number is commutative.

In each of the following, state whether the statements are true (T) or false (F).

is smaller than –2.

In each of the following, state whether the statements are true (T) or false (F).Rational numbers are closed under addition and multiplication but not under subtraction.