The question on the screen asks to select the three ways to name the number 41.06. Let's break down each option based on the number:

1. 4,106 hundredths:

   • Incorrect. 41.06 equals 4,106 hundredths (since 41.06 * 100 = 4,106), but this doesn’t fully represent the number as tens and hundredths together.

2. 4 tens + 106 hundredths:

   • Correct. 41.06 is the same as 4 tens (40) plus 106 hundredths (1.06 or 106/100).

3. 4 tens + 1 ones + 6 tenths:

   • Correct. This is accurate since 41 = 4 tens + 1 ones, and the decimal part (.06) is 6 tenths.

4. 410 tenths + 6 hundredths:

   • Correct. 41.06 is equivalent to 410 tenths (since 410/10 = 41) plus 6 hundredths.

5. 41 tens + 6 hundredths:

   • Incorrect. 41 tens would be 410, not 41.06.

The three correct answers should be:

• 4 tens + 106 hundredths
• 4 tens + 1 ones + 6 tenths
• 410 tenths + 6 hundredths

Would you like more details on this explanation or have any questions?

Here are 5 related questions for deeper understanding:

1. How do you convert between decimal and fraction representations of numbers?
2. What is the difference between tenths, hundredths, and thousandths in decimals?
3. How do you break down numbers into tens, ones, tenths, and hundredths?
4. How do you express decimals using place value names?
5. What are the rules for rounding decimals to the nearest tenth or hundredth?

Tip: Remember, the decimal place value system helps break down any number into parts based on powers of ten—this makes complex numbers easier to work with.