MathematicsFreePrintable
Number Building Swap Challenge
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Number Building Swap Challenge
Use the written descriptions to help you. A flat represents 100, a rod represents 10, and a small cube represents 1. Draw blocks or write numbers in the spaces provided.
Build numbers
Show each number with hundreds, tens, and ones.
1.Draw place-value blocks to show 326.
2.Draw place-value blocks to show 451.
3.In 326, what is the value of the digit 2?
4.In 326, what is the value of the digit 6?
Swap digits
The value of a digit changes when it moves to a different place.
5.In 184, the 1 is in the hundreds place, the 8 is in the tens place, and the 4 is in the ones place. What is the value of each digit?
6.Start with 184. Switch the hundreds digit and the tens digit. What new number do you get?
7.Compare 184 with 814. After the swap, is the number greater, less, or equal to the starting number?
- Greater
- Less
- Equal
8.Switch the tens and ones digits in 362. Write the new number, then say whether it is greater or less than 362.
9.Camila says, “A digit always has the same value wherever it is.” Is Camila correct? Explain using the digit 5 in 152 and 512.
Try a special swap
Look for digits that can trade places without changing the number.
10.In 454, switch the hundreds digit and the ones digit. What number do you get, and does its value change?
11.Complete this thought: When two digits trade places, the number can change because each place has a different .
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