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