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Count forward by 1s, 10s, 100s, and 1,000s

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.

Detailed Explanation: Count forward by 1s, 10s, 100s, and 1,000s

To count forward, add the same place-value unit each time:

  • By 11: the ones digit changes.
  • By 1010: the tens digit changes.
  • By 100100: the hundreds digit changes.
  • By 1,0001{,}000: the thousands digit changes.

If a digit reaches 1010, regroup it into the next place.

Example: Start with 2,3982{,}398. Find the next two numbers when counting by each unit.

Counting by 11:

Add 11 each time.

2,398+1=2,3992{,}398+1=2{,}399

The next step makes the ones digit regroup:

2,399+1=2,4002{,}399+1=2{,}400

So the numbers are 2,399, 2,4002{,}399,\ 2{,}400.

Counting by 1010:

Add 1010 each time. The tens digit changes, while the ones digit stays 88.

2,398+10=2,4082{,}398+10=2{,}408 2,408+10=2,4182{,}408+10=2{,}418

So the numbers are 2,408, 2,4182{,}408,\ 2{,}418.

Counting by 100100:

Add 100100 each time. The hundreds digit changes, while the tens and ones digits stay 9898.

2,398+100=2,4982{,}398+100=2{,}498 2,498+100=2,5982{,}498+100=2{,}598

So the numbers are 2,498, 2,5982{,}498,\ 2{,}598.

Counting by 1,0001{,}000:

Add 1,0001{,}000 each time. The thousands digit changes, while the hundreds, tens, and ones digits stay 398398.

2,398+1,000=3,3982{,}398+1{,}000=3{,}398 3,398+1,000=4,3983{,}398+1{,}000=4{,}398

So the numbers are 3,398, 4,3983{,}398,\ 4{,}398.

Always add the same amount, and watch for regrouping when a place-value digit reaches 1010.

Learn by doing: Count forward by 1s, 10s, 100s, and 1,000s

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Addition - Whole Number - Add 100 to a Number


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