To determine which number is greater between 1.34 and 1.308, we need to compare the digits place by place from left to right. In this case, the hundreds place is the first place where the two numbers differ. In 1.34, the hundreds place value is 3, while in 1.308, the hundreds place value is 3 as well. Therefore, we move on to the next decimal place. In the tenths place, 1.34 has a 4, which is greater than 0 in 1.308. So, 1.34 is greater than 1.308.
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