Count forward in fixed place-value units from any given whole number, interpreting each step as adding 1, 10, 100, or 1,000 and identifying how the corresponding digit changes while other place values remain unchanged until regrouping is required, as in 399 to 400 or 9,999 to 10,000. Within whole numbers through 1,000,000, this connects sequential counting to place value, addition, and multiplication by powers of ten; decimals, negative numbers, and more generalized number systems are not included.
To count forward, add the same place-value unit each time:
If a digit reaches , regroup it into the next place.
Example: Start with . Find the next two numbers when counting by each unit.
Counting by :
Add each time.
The next step makes the ones digit regroup:
So the numbers are .
Counting by :
Add each time. The tens digit changes, while the ones digit stays .
So the numbers are .
Counting by :
Add each time. The hundreds digit changes, while the tens and ones digits stay .
So the numbers are .
Counting by :
Add each time. The thousands digit changes, while the hundreds, tens, and ones digits stay .
So the numbers are .
Always add the same amount, and watch for regrouping when a place-value digit reaches .
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