Answer:
Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 2.6 and labeled as square root of 7
Step-by-step explanation:
* Lets explain how to solve this problem
- We want to know the position of √7 on the number line, then:
1- Square the √7
# (√7)² = 7
2- Search 7 is between which two square numbers
# 7 is between 4 and 9 which are square numbers
3- ⇒ 4 < 7 < 9 ⇒ take √ for all
# 2 < √7 < 3
∴ The value of √7 is between 2 and 3
* Lets look to the answer to find the correct answer
∵ The first answer is:
A dot is made at 1.7 and labeled as square root of 7
∵ 1.7 is not between 2 and 3
∴ The first answer is not true
∵ The second answer is:
A dot is made at 2.6 and labeled as square root of 7
∵ 2.6 is between 2 and 3
∴ The second answer is true
∴ Number line with numbers negative 4, negative 3, negative 2,
negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 2.6 and labeled
as square root of 7
