standard_description: Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. For example, which of the following equations are true and which are false? 6 = 6, 7 = 8 – 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2.
problem_activity: Task
Jessica evaluates $\sqrt{2}$ on her calculator which shows a value of
$$
1.4142136.
$$
She then writes
$$
\sqrt{2} = 1.4142136.
$$
Is Jessica correct?  Explain.
Explain, in terms of the structure of the expression $(1.4142136)^2$, why
it can not be equal to $2$.
Use the reasoning of part (b) to explain why $\sqrt{2}$ can not be equal
to any terminating decimal.


aligns: no