Question

2. Greta says that 0.27 is larger than 0.6 because 27 is larger than 6. Is

her answer reasonable? Explain why or why not below and use a number
line or visual model to prove your thinking.

Answer 1

See below.

Explanation:

0.27 has the 7 in the hundredths place, so 0.27 is read as "twenty-seven hundredths."

0.6 has the 6 in the tenths place, so it is "six tenths."

Greta is comparing hundredths and tenths, so her statement is incorrect.

If we add a zero to the right of 0.6 which does not change the value of the number, we get 0.60; the final zero is now in the hundredths place. We can now read 0.60 as "sixty hundredths."

Since 60 hundredths is greater than 27 hundredths, then 0.6 is greater than 0.27.

0.27

<----------+---------+---------+------+--+---------+---------+---------+---------+---------+---->

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7

On the number line, since 0.6 is to the right of 0.27, 0.6 is greater than 0.27.