Multiply 2 Digit by 2 Digit (Numbers up to 70)

In the fourth grade, students are required to multiply two 2-digit numbers. Students can continue to use the same method they had used to multiply 2-digit number by a 1-digit number by making use of area models (distributive property of multiplication).  For example, 75 x 41 can be multiplied as (70 x 4) + (70 x 1) + (5 x 4) + (5 x 1). This method of multiplying should acts as a precursor to the standard algorithm. It is important for the students to understand how a particular method works. Fluency with place value (expanded forms), distributive property of multiplication and multiplying multiples of 10 will be of great help here. The 2-digit numbers in this worksheet are restricted to those less than 70.

Common Core Alignment

4.NBT.5Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.