which of these numbers when rounded to the nearest hundredth is 0.56 0.566 0.556 0.563 0.554 0.555 0.565

And your answers are?

Did you find all three?

To round a number to the nearest hundredth, you need to look at the hundredth place, which is the second digit to the right of the decimal point.

In this case, the number we need to round is given as follows:
0.56, 0.566, 0.556, 0.563, 0.554, 0.555, 0.565

To round to the nearest hundredth, observe the digit in the thousandth place, which is the third digit to the right of the decimal point.

For the given numbers:
0.56 has a thousandth digit of 0
0.566 has a thousandth digit of 6
0.556 has a thousandth digit of 6
0.563 has a thousandth digit of 3
0.554 has a thousandth digit of 4
0.555 has a thousandth digit of 5
0.565 has a thousandth digit of 5

To round, we follow the general rounding rule: If the digit in the thousandth place is 5 or greater, we round up by increasing the hundredth digit by 1. If the digit is less than 5, we round down by simply keeping the current digit.

Using this rule, we get the rounded values as follows:
0.56 remains as 0.56
0.566 rounds up to 0.57
0.556 rounds up to 0.56
0.563 remains as 0.56
0.554 remains as 0.55
0.555 remains as 0.56
0.565 remains as 0.57

Therefore, the number that rounds to 0.56 when rounded to the nearest hundredth is 0.556.