Question
Hanna says you cannot represent the fraction One-fourth on the number line.
A number line going from 0 to 1 with 8 equal spaces between 0 and 1.
Which statement best explains Hanna’s thinking?
Hanna is correct. The space between consecutive integers is divided into eight parts and not four. You cannot represent One-fourth on the line.
Hanna is correct. The number line stops at 1, and you need to be able to have 4 on the graph to graph One-fourth.
Hanna is not correct. You can graph One-fourth if you extend the number line to 4.
Hanna is not correct. The fraction One-fourth is equal to StartFraction 2 Over 8 EndFraction, so you can graph it on the second tick mark to the right of zero.
A number line going from 0 to 1 with 8 equal spaces between 0 and 1.
Which statement best explains Hanna’s thinking?
Hanna is correct. The space between consecutive integers is divided into eight parts and not four. You cannot represent One-fourth on the line.
Hanna is correct. The number line stops at 1, and you need to be able to have 4 on the graph to graph One-fourth.
Hanna is not correct. You can graph One-fourth if you extend the number line to 4.
Hanna is not correct. The fraction One-fourth is equal to StartFraction 2 Over 8 EndFraction, so you can graph it on the second tick mark to the right of zero.
Answers
GPT-4o mini
The best statement that explains Hanna's thinking is:
**Hanna is not correct. The fraction One-fourth is equal to StartFraction 2 Over 8 EndFraction, so you can graph it on the second tick mark to the right of zero.**
This is because on a number line divided into eight equal parts between 0 and 1, one-fourth (1/4) corresponds to the point that is two ticks to the right of zero (since 1/4 is equal to 2/8).
**Hanna is not correct. The fraction One-fourth is equal to StartFraction 2 Over 8 EndFraction, so you can graph it on the second tick mark to the right of zero.**
This is because on a number line divided into eight equal parts between 0 and 1, one-fourth (1/4) corresponds to the point that is two ticks to the right of zero (since 1/4 is equal to 2/8).