All numbers between negative one and zero are negative. When you multiply a number by a negative it becomes negative. Also, all numbers between negative one and zero are decimals. When you multiply a number by a decimal it becomes smaller. Thus, when you multiply a rational number by a number between negative one and zero, it becomes smaller and negative.
The inequality is "flipped" when multiplied by a negative number. For example, if x > y and a is a negative number, then ax < ay.
A negative sign, by itself cannot affect whether or not a number is rational.
Nothing special happens. The answer can be smaller or bigger. A rational can become irrational or the other way around.
Wgat happens whe you multiply and positive number by a rational number between 0 and 1?
The inequality sign becomes greater than (>).
You get a product which can be rational or irrational.
The inequality is "flipped" when multiplied by a negative number. For example, if x > y and a is a negative number, then ax < ay.
A negative sign, by itself cannot affect whether or not a number is rational.
Nothing special happens. The answer can be smaller or bigger. A rational can become irrational or the other way around.
Wgat happens whe you multiply and positive number by a rational number between 0 and 1?
The negative number multiplied by one, the answer stays the same. for example -52 x 1 = -52
The inequality sign becomes greater than (>).
The answer is a rational number.
When an inequality is multiplied or divided by a negative number the inequality sign is reversed.Example : -x < 7 ......after multiplying by (say) -2 this becomes 2x > -14
dividing by one third is the same as multiplying by three
The product is a rational number.
The cube is multiplied by 53 = 125.