Answer:
○ The distance between a and b on the number line is 0.47 units.
Step-by-step explanation:
The first statement is not true because the distance between a and b on the number line is not 0.47.
Distance between a and b = 5.25 - (-5.72)
= 10.97
• The second statement is true because the sum of a and b is negative:
Sum = a + b
= -5.72 + 5.25
= -0.47
• The third statement is true because the quotient of a and -b is:
a ÷ -b
⇒ -5.72 ÷ -5.25
⇒ 1
And the quotient of -a and b is:
-a ÷ b
⇒ -(-5.72) ÷ 5.25
⇒ 1
This shows that the quotients are the same.
• The fourth statement is true because the product of a and -b:
a × -b
⇒ -5.72 × -(5.25)
⇒ 30.03 ,
is positive.