Let's go through the process of rounding the decimal [tex]\(0.135\)[/tex] to the hundredths place step by step.
1. Identify the digit in the hundredths place:
The decimal number [tex]\(0.135\)[/tex] has the digits positioned as follows:
- Tenths place: [tex]\(1\)[/tex]
- Hundredths place: [tex]\(3\)[/tex]
- Thousandths place: [tex]\(5\)[/tex]
2. Look at the digit immediately to the right of the hundredths place:
The digit immediately to the right of the hundredths place (which is the thousandths place) is [tex]\(5\)[/tex].
3. Determine the rounding action:
- If the digit in the thousandths place is [tex]\(5\)[/tex] or more, you should increase the digit in the hundredths place by one.
- If the digit in the thousandths place is less than [tex]\(5\)[/tex], you should decrease the digit in the hundredths place by one (or keep it unchanged if decreasing would make it negative).
In this specific case, the thousandths place contains the digit [tex]\(5\)[/tex], which is [tex]\(5\)[/tex] or more. Therefore, the correct step to perform first is to increase the digit in the hundredths place by one.
So, the correct answer is:
O Increase the digit in the hundredths place by one.
