1.) Write the expanded form with base 10 notation.
825.29
2.) Write the expanded form with base 10 notation.
5.3257
3.) Write the expanded form with base 10 notation.
0.45
4.) Write the expanded form with base 10 notation.
125.325
5.) Explain in your own words:
Why are numbers in expanded form with base 10 notation equal to the number itself for our number system?
1.) The expanded form of 825.29 in base 10 notation is 800 + 20 + 5 + 0.2 + 0.09.
2.) The expanded form of 5.3257 in base 10 notation is 5 + 0.3 + 0.02 + 0.005 + 0.0007.
3.) The expanded form of 0.45 in base 10 notation is 0.4 + 0.05.
4.) The expanded form of 125.325 in base 10 notation is 100 + 20 + 5 + 0.3 + 0.02 + 0.005.
5.) Numbers in expanded form with base 10 notation are equal to the number itself because each digit's place value represents a specific multiple of 10. The first digit from the right represents ones, the second from the right represents tens, the third represents hundreds, and so on. Adding up these multiples of 10 according to their place value gives us the original number.