Multiplication of 3-Digit Numbers By Regrouping

Practice Unlimited Questions

1. Find the product of 231 and 3.


finding the difference of numbers using the model method
Step 1: Multiply the ones by 3.
step-by-step multiplication
step-by-step subtraction
1 ones  ×  3
=  3 ones
Step 2: Multiply the tens by 3.
step-by-step multiplication
step-by-step subtraction
3 tens  ×  3
=  9 tens
Step 3: Multiply the hundreds by 3.
step-by-step multiplication
step-by-step subtraction
2 hundreds  ×  3
=  6 hundreds
So, the product of 231 and 3 is 693.

2. What is 135 × 3 ?


Step 1a: Multiply the ones by 3.
step-by-step multiplication
step-by-step subtraction
5 ones  ×  3  =  15 ones
Step 1b: Regroup the ones.
step-by-step multiplication
15 ones  =  1 ten 5 ones
Step 2a: Multiply the tens by 3.
step-by-step multiplication
step-by-step subtraction
3 tens  ×  3  =  9 tens

Add the tens.
9 tens  +  1 ten  =  10 tens
Step 2b: Regroup the tens.
step-by-step multiplication
10 tens  =  1 hundred 0 tens
Step 3: Multiply the hundreds by 3.
step-by-step multiplication
step-by-step subtraction
1 hundred  ×  3  =  3 hundreds

Add the hundreds.
3 hundreds  +  1 hundred  =  4 hundreds
So,  135  ×  3  =  405.

3. Rayan has 2 packs of 877 cards each. How many cards does he have in all?


Step 1a: Multiply the ones by 2.
step-by-step multiplication
step-by-step subtraction
7 ones  ×  2  =  14 ones
Step 1b: Regroup the ones.
step-by-step multiplication
14 ones  =  1 ten 4 ones
Step 2a: Multiply the tens by 2.
step-by-step multiplication
step-by-step subtraction
7 tens  ×  2  =  14 tens

Add the tens.
14 tens  +  1 ten  =  15 tens
Step 2b: Regroup the tens.
step-by-step multiplication
15 tens  =  1 hundred 5 tens
Step 3a: Multiply the hundreds by 2.
step-by-step multiplication
step-by-step subtraction
8 hundreds  ×  2
=  16 hundreds

Add the hundreds.
16 hundreds  +  1 hundred
=  17 hundreds
Step 3b: Regroup the hundreds.
step-by-step multiplication
17 hundreds
=  1 thousand 7 hundreds
Rayan has 1754 cards in all.