Approximate negative thirteen plus square root of seventy to the nearest tenth.
a) −8.4
b) −4.6
c) 4.6
d) 8.4
The approximate value of negative thirteen plus the square root of seventy is approximately 4.6.
Therefore, the correct answer is c) 4.6.
To approximate the value of negative thirteen plus the square root of seventy, we can start by finding the square root of seventy.
√70 ≈ 8.37
Next, we add negative thirteen to this result.
-13 + 8.37 ≈ -4.63
Rounded to the nearest tenth, the answer is -4.6.
So, the correct choice is b) -4.6.
To solve this problem, we need to perform two calculations: the square root of seventy and the addition of that result to negative thirteen.
1. First, let's find the square root of seventy:
- You can use a calculator or a math software to find the square root of seventy. In this case, the square root of seventy is approximately 8.37 (rounded to two decimal places).
2. Next, we need to add the square root result to negative thirteen:
- Approximate negative thirteen plus 8.37 is approximately -4.63.
Therefore, the answer to the problem, rounded to the nearest tenth, is -4.6 (option b).