Real Number Ordering is Compatible with Multiplication/Examples

Examples of Real Number Ordering is Compatible with Multiplication

$15 \times 3$ Greater than $12 \times 3$

We have that:

$15 > 12$

so by Real Number Ordering is Compatible with Multiplication:

$15 \times 3 > 12 \times 3$

That is:

$45 > 36$

$\dfrac {15} 3$ Greater than $\dfrac {12} 3$

We have that:

$15 > 12$

so by Real Number Ordering is Compatible with Multiplication:

$\dfrac {15} 3 > \dfrac {12} 3$

That is:

$5 > 4$

$15 \times \paren {-3}$ Less than $12 \times \paren {-3}$

We have that:

$15 > 12$

so by Real Number Ordering is Compatible with Multiplication:

$15 \times \paren {-3} < 12 \times \paren {-3}$

That is:

$-45 < -36$

$\dfrac {15} {-3}$ Less than $\dfrac {12} {-3}$

We have that:

$15 > 12$

so by Real Number Ordering is Compatible with Multiplication:

$\dfrac {15} {-3} < \dfrac {12} {-3}$

That is:

$-5 < -4$