Final answer:
To round 9.106 to the nearest hundredth, we observe the thousandths digit, which is 0. Since it is less than 5, we keep the hundredths digit the same. Thus, 9.106 rounded to the nearest hundredth is 9.10.
Step-by-step explanation:
The question asks about rounding the number 9.106 to the nearest hundredth. To clarify the process of rounding, let's use some examples provided for reference, before directly addressing the question. When you are rounding numbers, it's important to look at the digit to the right of the place value you are rounding to. If that digit is five or higher, you round up. If it is four or lower, you round down.
For instance, if a calculator gives us the answer 921.996 and we want to round to the hundredth place, we look at the digit in the thousandths place, which is 6. Because 6 is greater than 5, we round up the second decimal number by one, resulting in 922.00. Another example is 119.902, where we need to round to the tenths place. The hundredths place value is 0, which is less than 5, so we round down, keeping the tenths place the same and resulting in 119.9.
When converting into scientific notation, as in changing 965 to 9.65, we move the decimal point two places to the left and use an exponent to indicate this shift, resulting in 9.65 × 10². This demonstrates an understanding of place value and significant figures, important concepts in expressing numbers more conveniently, especially in fields like science and engineering.
Now, applying this to the original question: The number 9.106 rounded to the nearest hundredth place does not require any changes, as the thousandths place is 0, which is less than 5. Therefore, 9.106 rounded to the hundredths place remains 9.10.