Irrational numbers, like 0.01020304...., can be written as a fraction.(1 point)

Responses

​​​​​​​False, any decimal that does not terminate or repeat cannot be written as a fraction.
​​​​​​​ False, any decimal that does not terminate or repeat cannot be written as a fraction.

False, any decimal that does not terminate or repeat is rational.
False, any decimal that does not terminate or repeat is rational.

True, all decimals can be written as a fraction
True, all decimals can be written as a fraction

True, decimals that do not terminate can always be written as a fraction

False, any decimal that does not terminate or repeat cannot be written as a fraction.

A repeating decimal, like 0.327327327..., can be written as a fraction.(1 point)

Responses

True, a repeating decimal is irrational, so can be written as a ratio
True, a repeating decimal is irrational, so can be written as a ratio

True, a repeating decimal is rational, so can be written as a ratio
True, a repeating decimal is rational, so can be written as a ratio

False, any decimal that does not terminate cannot be written as a fraction
False, any decimal that does not terminate cannot be written as a fraction

False, any decimal that repeats cannot be written as a fraction
False, any decimal that repeats cannot be written as a fraction

True, a repeating decimal is rational, so can be written as a ratio.

Rational numbers cannot _____________.(1 point)

Responses

go on forever and ever
go on forever and ever

repeat digits in the decimal
repeat digits in the decimal

be square roots of non-perfect squares
be square roots of non-perfect squares

be negative

be square roots of non-perfect squares

Solve the equation using the steps: 2(x+8)=2x+8

(5 points)

To solve the equation 2(x + 8) = 2x + 8, we can follow these steps:

1. Distribute the 2 on the left side of the equation: 2x + 16 = 2x + 8.
2. Now, we can subtract 2x from both sides to eliminate the 2x term from the equation: 16 = 8.
3. However, we can see that the equation 16 = 8 is not true. This means that there is no solution to the equation.

Therefore, the equation 2(x + 8) = 2x + 8 has no solution.