The task in the image asks for identifying the value of each digit in the given decimal numbers, based on their place values. Here’s how you can break down the three numbers:

1. 3.654

   • 3 is in the units place (or ones), so its value is 3.
   • 6 is in the tenths place, so its value is 0.6.
   • 5 is in the hundredths place, so its value is 0.05.
   • 4 is in the thousandths place, so its value is 0.004.

2. 32.876

   • 3 is in the tens place, so its value is 30.
   • 2 is in the units place (ones), so its value is 2.
   • 8 is in the tenths place, so its value is 0.8.
   • 7 is in the hundredths place, so its value is 0.07.
   • 6 is in the thousandths place, so its value is 0.006.

3. 0.963

   • 9 is in the tenths place, so its value is 0.9.
   • 6 is in the hundredths place, so its value is 0.06.
   • 3 is in the thousandths place, so its value is 0.003.

Would you like more details on place values or have any specific questions?

5 Follow-up Questions:

1. What are the place values of numbers to the left of the decimal point?
2. How do you write a decimal in expanded form using place values?
3. Why is the digit after the decimal multiplied by a fraction like 1/10 or 1/100?
4. Can you determine the place value of a number without the decimal point?
5. How do different number systems (like binary) handle place values?

Tip:

Understanding place value is key to solving more complex problems involving decimals, fractions, and rounding!