Question

Aaron and Blake are having a disagreement during math class. Aaron says 0.3838 is a terminating decimal while Blake says it's a repeating decimal.

a) Who is correct, Aaron or Blake?

b) Cite evidence to support your claim.

c) Explain your thinking.

Answer 1

a) I think Aaron is correct.

Explanation:

Aaron and Blake are having a disagreement during math class. Aaron says 0.3838 is a terminating decimal while Blake says it's a repeating decimal.

a) I think Aaron is correct.

b) If we convert the decimal into fraction then this will give

`0.3838 = (3838)/(10000) = (1919)/(5000)`

c) So the fraction
`(1919)/(5000)` has an exact value of 0.3838 and this does not repeat. Hence, this is a terminating decimal. (Answer)