What is the first step in multiplying 2 digit by 1 digit?
"MGSE3.MD.7.
Relate area to the operations of multiplication and addition.
c. Use tiling to show, in a concrete case, that the area of a rectangle with whole-number side
lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive
property in mathematical reasoning.
"
Learning objective:
Partial product is a method used to multiply two or more numbers. It involves breaking down the numbers into their individual parts and multiplying them separately. The answer can then be found by combining the separate parts of the products.
Multiplying 2 digit by 1 digit using partial product
Partial Product: A multiplication problem that involves breaking the numbers into their individual parts and multiplying them separately. Two-digit Number: A number containing two digits, such as 23 or 56. One-digit Number: A number containing one digit, such as 5 or 7.
Concepts:
Using partial product can make multiplying large numbers quicker and easier. Partial product is also called 'box multiplication'. Partial product was used by ancient civilizations to multiply large numbers.
Fun facts:
Work together in pairs: Find the area of a rectangle with side lengths of 4 and 5. Use area models to represent the distributive property in your answer.
Work together in pairs: If the length of a rectangle is 10 and the width is 3, what is the area of the rectangle?
Brain break: Draw a picture of a tree with a house inside
What is the partial product of 23 x 4?
What is the partial product of 12 x 7?
What is the partial product of 15 x 8?
What is the partial product of 18 x 5?
What is the partial product of 25 x 6?