Question

Which statement is true?

Group of answer choices

A debt of $17 is a larger value than a debt of $20.

One half an apple is equivalent to 8 fourths apples.

8.01 is a smaller increase in sales then 8.001.

LaTeX: \frac{2}{3} 2 3 below zero is a lower temperature than 6 below zero.

Answer 1

The statement that is true is:

A debt of $17 is a larger value than a debt of $20.

Explanation:

Let us look at the statements one after the other to determine if they are true or not:

1) A debt of $17 is a larger value than a debt of $20: This is true because when measuring debts, we will consider the values in the negative sense (-). Therefore, a debt of $17 has a value of (-17) and a debt of $20 has a value of (-20). -17 is larger than - 20 on a number line, hence, a debt of $17 has a larger value for the debtor, than a debt of 20$

2) One half an apple is equivalent to 8 fourths apples:

one half an apple =
`(1)/(2)\ of\ an\ apple`

8 fourths of an apple =
`(8)/(4) = (2)/(1)\ of\ and\ apple`. Therefore, one half of an apple is not equivalent to 8 fourth of an apple.

3) 8.01 is a smaller increase in sales than 8.001: This statement is false because 8.001 is counted before 8.01, and the difference between 8.01 and 8.001 is:

8.01 - 8.001 = +0.009, hence, 8.01 is larger than 8.01 by a magnitude of 0.009

4)
`(2)/(3)\ below\ zero` is a lower temperature than 6 below zero:

`(2)/(3)\ below\ zero\ = (-(2)/(3))^\circ`

6 below zero = - 6°

On the number line, -6 is smaller than
`-(2)/(3)` hence the statement is false.