Product: 168 x 3
New set of base pieces:
- For the ones place: 3 bundles of 1 (3 x 1 = 3)
- For the tens place: 3 bundles of 10 (3 x 10 = 30)
- For the hundreds place: 3 bundles of 100 (3 x 100 = 300)
Regrouping:
To regroup, we need to exchange 10 ones bundles for 1 tens bundle, and exchange 10 tens bundles for 1 hundreds bundle.
Starting with the ones place:
3 bundles of 1
= 3
Exchange 10 ones bundles for 1 tens bundle:
= 1 bundle of 10 + 3
Moving to the tens place:
3 bundles of 10
= 3 x 10 = 30
Exchange 10 tens bundles for 1 hundreds bundle:
= 1 bundle of 100 + 30
Lastly, in the hundreds place:
3 bundles of 100
= 3 x 100 = 300
Combining all the values:
300 (hundreds place) + 31 (tens place) + 3 (ones place) = 331
Therefore, 168 multiplied by 3 is equal to 331.
Sketch a new set of base pieces for each product in exercises 5 and 6, and then show regrouping.
Multiply 168 by 3.
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