Whole Number 2 x 2 - Column Breakout (Level 1)

This math topic practices advanced multiplication skills, focusing on multiplying two 2-digit whole numbers by breaking one number into more manageable parts, a technique known as column breakout or partial products. It is designed to help students understand and perform multiplication through a step-by-step decomposition method. Each problem presents a different pair of numbers to multiply with multiple choice answers demonstrating various ways of breaking down one of the numbers to simplify the multiplication process. This set of problems is part of a broader unit on 2 and 3-digit multiplication.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Multiplication - Whole Number 2 x 2 - Column Breakout Worksheet

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Multiplication - Whole Number 2 x 2 - Column Breakout
1
A LaTex expression showing \begin{aligned}19\hphantom{.}\\[-0.5em]\underline{ multiplied by 28\hphantom{.}}\end{aligned}\\
How can you multiply 19 by 28 by breaking 28 apart
a A LaTex expression showing (19 multiplied by 20)+(19 multiplied by 8)
b A LaTex expression showing (19 + 20) multiplied by (19 + 8)
2
A LaTex expression showing \begin{aligned}23\hphantom{.}\\[-0.5em]\underline{ multiplied by 19\hphantom{.}}\end{aligned}\\
How can you multiply 23 by 19 by breaking 19 apart
a A LaTex expression showing (23 multiplied by 10)+(23 multiplied by 3)
b A LaTex expression showing (23 multiplied by 10)+(23 multiplied by 9)
3
A LaTex expression showing \begin{aligned}29\hphantom{.}\\[-0.5em]\underline{ multiplied by 14\hphantom{.}}\end{aligned}\\
How can you multiply 29 by 14 by breaking 14 apart
a A LaTex expression showing (29 multiplied by 10)+(29 multiplied by 4)
b A LaTex expression showing (29 multiplied by 10) multiplied by (29 multiplied by 4)
4
A LaTex expression showing \begin{aligned}13\hphantom{.}\\[-0.5em]\underline{ multiplied by 27\hphantom{.}}\end{aligned}\\
How can you multiply 13 by 27 by breaking 27 apart
a A LaTex expression showing (13 multiplied by 20) multiplied by (13 multiplied by 7)
b A LaTex expression showing (13 multiplied by 20)+(13 multiplied by 7)
5
A LaTex expression showing \begin{aligned}22\hphantom{.}\\[-0.5em]\underline{ multiplied by 21\hphantom{.}}\end{aligned}\\
How can you multiply 22 by 21 by breaking 21 apart
a A LaTex expression showing (22 multiplied by 20) multiplied by (22 multiplied by 1)
b A LaTex expression showing (22 multiplied by 20)+(22 multiplied by 1)
6
A LaTex expression showing \begin{aligned}24\hphantom{.}\\[-0.5em]\underline{ multiplied by 21\hphantom{.}}\end{aligned}\\
How can you multiply 24 by 21 by breaking 21 apart
a A LaTex expression showing (24 multiplied by 20)+(24 multiplied by 1)
b A LaTex expression showing (24 multiplied by 20)+(24 multiplied by 4)
7
A LaTex expression showing \begin{aligned}12\hphantom{.}\\[-0.5em]\underline{ multiplied by 14\hphantom{.}}\end{aligned}\\
How can you multiply 12 by 14 by breaking 14 apart
a A LaTex expression showing (12 multiplied by 10)+(12 multiplied by 4)
b A LaTex expression showing (12 multiplied by 10)+(12 multiplied by 2)
8
A LaTex expression showing \begin{aligned}19\hphantom{.}\\[-0.5em]\underline{ multiplied by 29\hphantom{.}}\end{aligned}\\
How can you multiply 19 by 29 by breaking 29 apart
a A LaTex expression showing (19 multiplied by 20)+(19 multiplied by 9)
b A LaTex expression showing (19 multiplied by 20) multiplied by (19 multiplied by 9)