Final answer:
To round 34.9961: for two decimal places, since the third decimal is above 5, it rounds up to 35.00; for the nearest 10, since the units digit is 4, it rounds down to 30.
Step-by-step explanation:
To round the number 34.9961:
To two decimal places, look at the third decimal place which is 6. Since 6 is greater than 5, you round up the second decimal place. Thus, 34.99 becomes 35.00.
To the nearest 10, you look at the digit in the ones place which is 4. Because 4 is less than 5, you round down to the closest ten, making 34.9961 become 30.
Please note the difference between rounding to decimal places, which deals with values after the decimal point, and rounding to the nearest tens, which focuses on the position just left to the decimal point.