Which of these numbers is greater than 6 but less than 7?
Let me try to figure it out and I'll post my anwser.= )
oops didn't put the options in...
the square root of each of these numbers
a. 6.5 b. 67 c. 45 d.76
Would it be easier to find the number which is greater than 6^2 and less than 7^2 ?
ok
To find the number that is greater than 6 but less than 7, you can use the option of finding the square root of each number and then comparing it to the square root of 6 and 7.
In this case, you have the following options:
a. 6.5
b. 67
c. 45
d. 76
To find the square root of each number, you can use a calculator or a mathematical software program.
If you decide to do it manually, you can use the estimation method:
- For option (a) 6.5, the square root is approximately 2.55 (rounded to two decimal places).
- For option (b) 67, the square root is approximately 8.19 (rounded to two decimal places).
- For option (c) 45, the square root is approximately 6.71 (rounded to two decimal places).
- For option (d) 76, the square root is approximately 8.72 (rounded to two decimal places).
Now, compare these square root values to the square roots of 6 and 7. The square root of 6 is approximately 2.45 (rounded to two decimal places), and the square root of 7 is approximately 2.65 (rounded to two decimal places).
From the comparison, you can see that only option (a) 6.5 has a square root value between the square roots of 6 and 7. Therefore, the answer is option (a) 6.5.
If you prefer to find the number using squares, you can square each number and compare the result to the squares of 6 and 7. In this case, you would square each of the given numbers and check if the result is between 6^2 (36) and 7^2 (49). The number that meets this condition would be the answer.