What are the two operations involved in multiplying two digit numbers by one digit numbers?
Break down the problem into two separate parts. Multiply each part separately. Add the two parts together to get your answer.
Multiplying 2-Digit by 1-Digit: Partial Products
Partial Products: The products found when multiplying two numbers, working from left to right. 2-digit number: A number between 10 and 99. 1-digit number: A number between 0 and 9.
What do you think is the best way to multiply two-digit numbers by one-digit numbers?
- Using the standard algorithm
- Using partial products
- Using a calculator
- Using your fingers
Partial products are used for multiplication of more than two digits. Partial products were discovered in China in the 16th century. Using partial products is much faster than traditional long multiplication methods.
Draw / write: What is the area of a rectangle with side lengths of 5 and 6 + 3?
Draw / write: How would you use tiling to show the area of a rectangle with whole-number side lengths?
How does multiplying two digit numbers by one digit numbers relate to the area of a rectangle?
What does the distributive property have to do with the area of a rectangle?