Sketch a new set of base pieces for each product in exercises 5 and 6, and then show regrouping.

Multiply 168 by 3.

1 answer

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.