Whole Number 3 x 2 - Column Breakout (Level 1)

This math topic focuses on practices that involve multiplying whole numbers by breaking a two-digit multiplier into its component parts (commonly known as the breakout method). It helps learners develop strategies for simplifying complex multiplication problems by using distributive properties to break down a two-digit number into simpler blocks. Each question presents a multiplication problem with different whole numbers and two-digit multipliers, such as multiplying 937 by 21, and requires the learner to select the correct breakdown and resultant multiplication operations from multiple choices. This method enhances understanding of basic multiplication and mental calculation skills.

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

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Multiplication - Whole Number 3 x 2 - Column Breakout Worksheet

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Multiplication - Whole Number 3 x 2 - Column Breakout
1
A LaTex expression showing \begin{aligned}518\hphantom{.}\\[-0.5em]\underline{ multiplied by 29\hphantom{.}}\end{aligned}\\
How can you multiply 518 by 29 by breaking 29 apart
a A LaTex expression showing (518 multiplied by 20) multiplied by (518 multiplied by 9)
b A LaTex expression showing (518 multiplied by 20)+(518 multiplied by 9)
2
A LaTex expression showing \begin{aligned}602\hphantom{.}\\[-0.5em]\underline{ multiplied by 27\hphantom{.}}\end{aligned}\\
How can you multiply 602 by 27 by breaking 27 apart
a A LaTex expression showing (602 multiplied by 20)+(602 multiplied by 2)
b A LaTex expression showing (602 multiplied by 20)+(602 multiplied by 7)
3
A LaTex expression showing \begin{aligned}763\hphantom{.}\\[-0.5em]\underline{ multiplied by 23\hphantom{.}}\end{aligned}\\
How can you multiply 763 by 23 by breaking 23 apart
a A LaTex expression showing (763 multiplied by 20) multiplied by (763 multiplied by 3)
b A LaTex expression showing (763 multiplied by 20)+(763 multiplied by 3)
4
A LaTex expression showing \begin{aligned}817\hphantom{.}\\[-0.5em]\underline{ multiplied by 11\hphantom{.}}\end{aligned}\\
How can you multiply 817 by 11 by breaking 11 apart
a A LaTex expression showing (817 + 10) multiplied by (817 + 1)
b A LaTex expression showing (817 multiplied by 10)+(817 multiplied by 1)
5
A LaTex expression showing \begin{aligned}651\hphantom{.}\\[-0.5em]\underline{ multiplied by 21\hphantom{.}}\end{aligned}\\
How can you multiply 651 by 21 by breaking 21 apart
a A LaTex expression showing (651 + 20) multiplied by (651 + 1)
b A LaTex expression showing (651 multiplied by 20)+(651 multiplied by 1)
6
A LaTex expression showing \begin{aligned}265\hphantom{.}\\[-0.5em]\underline{ multiplied by 28\hphantom{.}}\end{aligned}\\
How can you multiply 265 by 28 by breaking 28 apart
a A LaTex expression showing (265 multiplied by 20)+(265 multiplied by 5)
b A LaTex expression showing (265 multiplied by 20)+(265 multiplied by 8)
7
A LaTex expression showing \begin{aligned}705\hphantom{.}\\[-0.5em]\underline{ multiplied by 26\hphantom{.}}\end{aligned}\\
How can you multiply 705 by 26 by breaking 26 apart
a A LaTex expression showing (705 multiplied by 20)+(705 multiplied by 5)
b A LaTex expression showing (705 multiplied by 20)+(705 multiplied by 6)
8
A LaTex expression showing \begin{aligned}222\hphantom{.}\\[-0.5em]\underline{ multiplied by 23\hphantom{.}}\end{aligned}\\
How can you multiply 222 by 23 by breaking 23 apart
a A LaTex expression showing (222 multiplied by 20)+(222 multiplied by 3)
b A LaTex expression showing (222 multiplied by 20)+(222 multiplied by 2)