10. 4 Digit x 1 Digit (Numbers up to 4,000)
Multiply 4 digit numbers by 1 digit numbers. In 4 Digit x 1 Digit (Numbers up to 4,000) Worksheet, students make use of area models to multiply numbers. Area models are essentially visual representation of the distributive property of multiplication. For example, 3241 x 2 can be multiplied as (3000 x 2) + (200 x 2) + (40 x 2) + (1 x 2). Fluency with place value (expanded forms), distributive property of multiplication and multiplying multiples of 10 will be of great help here. 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. The 3-digit numbers in this worksheet are restricted to those less than 4000.
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.