Multiplying a two digit number by a one digit number
Multiplying a two digit number by a one digit number is similar to multiplying two one digit numbers.
The problem is 32 X 3.
First multiply the two numbers in the ones column: 3 X 2 = 6
Next multiply the number in the ones place by the number in the tens place 3 X 3 = 9. Remember that the number in the tens place means one is actually multiplying 30 X 3 = 90
The final answer or product is 32 X 3 = 96
Place Value
Tens
Ones
3
2
X
3
9
6
The next problem is trickier: 75 X 6= 450X
First multiply the numbers in the ones or column: 5 X 6 = 30. Put the 0 in the ones place and carry the 3 to the tens place.
Next multiply the multiplier in the ones place times the number in the tens place in the multiplicand. 7 X 6 = 42. Remember that this actually is 70 X 6 which is 420.
Finally add on the carry over 3: (7 X 6) + 3 = 45. This actually is (70 X 6) + 30 = 450
Place Value
100s
10s
1s
Multiplicand
(+3)7
5
Multiplier
X
6
Product
4
5
0
The next problem has a 3 digit multiplicand times a 1 digit multiplier.
First multiply the multiplier 7 times 6 in the ones column which is 42. Place the 2 in the ones column in the product line underneath the 7 and carry the 4 to be added to the next step.
Second, multiply the multiplier 7 times the 9 in the tens column of the multiplicand which is 63. Add the 4 carried over to 63 which is 67. Place the 7 in the tens column to the left of the 2 in the product line. The 6 will be carried over.
Third, multiply the multiplier 7 times 2 which is 14. Add the 6 which is carried over to the 14 which equals 20. The zero would go in the hundreds column in the product row and the 2 in the thousands column in the product row.