Question

Rosie is comparing √7 and 3.44444.... She claims that √7 > 3.44444... because √7 ≈ 3.5. a. What is the correct comparison? b. Critique Rosie's reasoning and identify the likely mistake she made.

Answer 1

The correct comparison is that √7 < 3.44444..., and Rosie's reasoning is flawed because she approximated the square root of 7 incorrectly.

Step-by-step explanation:

The correct comparison between √7 and 3.44444... is that √7 < 3.44444... Rosie's reasoning is incorrect because she approximated √7 to 3.5, which is slightly greater than the actual value.

By comparing these two numbers, we can see that 3.44444... is a decimal representation of a rational number, whereas √7 is an irrational number, meaning it cannot be expressed as a fraction or terminating decimal.

Learn more about Comparing Numbers