If I round 123.456 to the nearest hundreth is the correct answer:

123.500?

No. You rounded to the nearest thousandth.

The 5 is in the hundredths place. Since the next numeral is above 4, you round up.

123.46

1/5(x +1) + 2/5(x-1) = 3/10

2nd
0.1(2x-1) + 0.02(4x+4)= 0.05x

Thank you! I always get confused but now I understand and can work the rest of my problems.

To round a number to a given decimal place, you need to look at the digit immediately to the right of that decimal place. In this case, you want to round to the nearest hundredth, which means you need to look at the digit in the thousandth place (the one after the decimal point).

The digit in the thousandth place is 4. Since 4 is less than 5, you would round down. To round down, you leave the digit in the hundredth place unchanged and drop all the digits to the right of it. Therefore, rounding 123.456 to the nearest hundredth would be 123.450, not 123.500.

So, the correct answer is 123.450.