Multiplication - 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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Whole Number 3 x 2 - Column Breakout

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How can you multiply 735 by 21 by breaking 21 apart

735.×21.\begin{aligned}735\hphantom{.}\\[-0.5em]\underline{\times 21\hphantom{.}}\end{aligned}\\

Multiplication - Whole Number 3 x 2 - Column Breakout Worksheet

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Math worksheet on 'Multiplication - Whole Number 3 x 2 - Column Breakout (Level 1)'. Part of a broader unit on 'Multiplication - 2 and 3 Digit' Learn online: app.mobius.academy/math/units/multiplication_2_and_3_digit/
1
How can you multiply 337 by 16 by breaking 16 apart
A LaTex expression showing \begin{aligned}337\hphantom{.}\\[-0.5em]\underline{ multiplied by 16\hphantom{.}}\end{aligned}\\
a A LaTex expression showing (338 multiplied by 10)+(338 multiplied by 6)
b A LaTex expression showing (337 multiplied by 6)+(337 multiplied by 6)
c A LaTex expression showing (337 multiplied by 10)+(337 multiplied by 6)
d A LaTex expression showing (337 multiplied by 10)+(337 multiplied by 10)
e A LaTex expression showing (334 multiplied by 10)+(334 multiplied by 6)
f A LaTex expression showing (335 multiplied by 10)+(335 multiplied by 6)
2
How can you multiply 433 by 19 by breaking 19 apart
A LaTex expression showing \begin{aligned}433\hphantom{.}\\[-0.5em]\underline{ multiplied by 19\hphantom{.}}\end{aligned}\\
a A LaTex expression showing (433 multiplied by 7)+(433 multiplied by 9)
b A LaTex expression showing (433 multiplied by 10)+(433 multiplied by 9)
c A LaTex expression showing (432 multiplied by 10)+(432 multiplied by 9)
d A LaTex expression showing (433 multiplied by 13)+(433 multiplied by 9)
e A LaTex expression showing (433 multiplied by 6)+(433 multiplied by 9)
f A LaTex expression showing (433 multiplied by 14)+(433 multiplied by 9)
3
How can you multiply 188 by 26 by breaking 26 apart
A LaTex expression showing \begin{aligned}188\hphantom{.}\\[-0.5em]\underline{ multiplied by 26\hphantom{.}}\end{aligned}\\
a A LaTex expression showing (188 multiplied by 20)+(188 multiplied by 6)
b A LaTex expression showing (188 multiplied by 16)+(188 multiplied by 6)
c A LaTex expression showing (188 multiplied by 20)+(188 multiplied by 5)
d A LaTex expression showing (188 multiplied by 22)+(188 multiplied by 6)
e A LaTex expression showing (188 multiplied by 20)+(188 multiplied by 3)
f A LaTex expression showing (188 multiplied by 20)+(188 multiplied by 9)
4
How can you multiply 307 by 27 by breaking 27 apart
A LaTex expression showing \begin{aligned}307\hphantom{.}\\[-0.5em]\underline{ multiplied by 27\hphantom{.}}\end{aligned}\\
a A LaTex expression showing (307 multiplied by 24)+(307 multiplied by 7)
b A LaTex expression showing (303 multiplied by 20)+(303 multiplied by 7)
c A LaTex expression showing (307 multiplied by 18)+(307 multiplied by 7)
d A LaTex expression showing (307 multiplied by 20)+(307 multiplied by 3)
e A LaTex expression showing (307 multiplied by 22)+(307 multiplied by 7)
f A LaTex expression showing (307 multiplied by 20)+(307 multiplied by 7)
5
How can you multiply 191 by 22 by breaking 22 apart
A LaTex expression showing \begin{aligned}191\hphantom{.}\\[-0.5em]\underline{ multiplied by 22\hphantom{.}}\end{aligned}\\
a A LaTex expression showing (192 multiplied by 20)+(192 multiplied by 2)
b A LaTex expression showing (187 multiplied by 20)+(187 multiplied by 2)
c A LaTex expression showing (194 multiplied by 20)+(194 multiplied by 2)
d A LaTex expression showing (191 multiplied by 20)+(191 multiplied by 2)
e A LaTex expression showing (191 multiplied by 22)+(191 multiplied by 2)
f A LaTex expression showing (191 multiplied by 24)+(191 multiplied by 2)
6
How can you multiply 512 by 22 by breaking 22 apart
A LaTex expression showing \begin{aligned}512\hphantom{.}\\[-0.5em]\underline{ multiplied by 22\hphantom{.}}\end{aligned}\\
a A LaTex expression showing (512 multiplied by 20)+(512 multiplied by 2)
b A LaTex expression showing (512 multiplied by 18)+(512 multiplied by 2)
c A LaTex expression showing (510 multiplied by 20)+(510 multiplied by 2)
d A LaTex expression showing (512 multiplied by 16)+(512 multiplied by 2)
e A LaTex expression showing (512 multiplied by 24)+(512 multiplied by 2)
f A LaTex expression showing (515 multiplied by 20)+(515 multiplied by 2)
7
How can you multiply 217 by 25 by breaking 25 apart
A LaTex expression showing \begin{aligned}217\hphantom{.}\\[-0.5em]\underline{ multiplied by 25\hphantom{.}}\end{aligned}\\
a A LaTex expression showing (217 multiplied by 24)+(217 multiplied by 5)
b A LaTex expression showing (220 multiplied by 20)+(220 multiplied by 5)
c A LaTex expression showing (217 multiplied by 20)+(217 multiplied by 7)
d A LaTex expression showing (217 multiplied by 20)+(217 multiplied by 4)
e A LaTex expression showing (217 multiplied by 16)+(217 multiplied by 5)
f A LaTex expression showing (217 multiplied by 20)+(217 multiplied by 5)