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

This math topic focuses on the skill of multiplying whole numbers using a method known as "column breakout," specifically with 3-digit by 2-digit multiplication. The practice involves breaking down one of the digits (generally the two-digit number) and using distributive properties to simplify the multiplication process. Each question presents a multiplication problem where a two-digit number is broken into parts—either as tens and ones or other combinations. The students need to select the correct breakdown and resultant multiplication expressions from various options provided. This method helps in understanding and performing multi-digit multiplication more efficiently.

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 632 by 16 by breaking 16 apart

632.×16.\begin{aligned}632\hphantom{.}\\[-0.5em]\underline{\times 16\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 2)'. 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 114 by 14 by breaking 14 apart
A LaTex expression showing \begin{aligned}114\hphantom{.}\\[-0.5em]\underline{ multiplied by 14\hphantom{.}}\end{aligned}\\
a A LaTex expression showing (114 multiplied by 10)+(114 multiplied by 4)
b A LaTex expression showing (116 multiplied by 10)+(116 multiplied by 4)
c A LaTex expression showing (114 multiplied by 6)+(114 multiplied by 4)
d A LaTex expression showing (114 multiplied by 9)+(114 multiplied by 4)
e A LaTex expression showing (111 multiplied by 10)+(111 multiplied by 4)
f A LaTex expression showing (114 multiplied by 7)+(114 multiplied by 4)
2
How can you multiply 516 by 25 by breaking 25 apart
A LaTex expression showing \begin{aligned}516\hphantom{.}\\[-0.5em]\underline{ multiplied by 25\hphantom{.}}\end{aligned}\\
a A LaTex expression showing (516 multiplied by 17)+(516 multiplied by 5)
b A LaTex expression showing (516 multiplied by 20)+(516 multiplied by 5)
c A LaTex expression showing (516 multiplied by 15)+(516 multiplied by 5)
d A LaTex expression showing (516 multiplied by 20)+(516 multiplied by 9)
e A LaTex expression showing (516 multiplied by 20)+(516 multiplied by 3)
f A LaTex expression showing (517 multiplied by 20)+(517 multiplied by 5)
3
How can you multiply 163 by 26 by breaking 26 apart
A LaTex expression showing \begin{aligned}163\hphantom{.}\\[-0.5em]\underline{ multiplied by 26\hphantom{.}}\end{aligned}\\
a A LaTex expression showing (165 multiplied by 20)+(165 multiplied by 6)
b A LaTex expression showing (163 multiplied by 24)+(163 multiplied by 6)
c A LaTex expression showing (163 multiplied by 20)+(163 multiplied by 3)
d A LaTex expression showing (163 multiplied by 20)+(163 multiplied by 10)
e A LaTex expression showing (163 multiplied by 15)+(163 multiplied by 6)
f A LaTex expression showing (163 multiplied by 20)+(163 multiplied by 6)
4
How can you multiply 424 by 24 by breaking 24 apart
A LaTex expression showing \begin{aligned}424\hphantom{.}\\[-0.5em]\underline{ multiplied by 24\hphantom{.}}\end{aligned}\\
a A LaTex expression showing (424 multiplied by 20)+(424 multiplied by 4)
b A LaTex expression showing (424 multiplied by 21)+(424 multiplied by 4)
c A LaTex expression showing (424 multiplied by 20)+(424 multiplied by 1)
d A LaTex expression showing (419 multiplied by 20)+(419 multiplied by 4)
e A LaTex expression showing (424 multiplied by 18)+(424 multiplied by 4)
f A LaTex expression showing (424 multiplied by 20)+(424 multiplied by 2)
5
How can you multiply 350 by 16 by breaking 16 apart
A LaTex expression showing \begin{aligned}350\hphantom{.}\\[-0.5em]\underline{ multiplied by 16\hphantom{.}}\end{aligned}\\
a A LaTex expression showing (347 multiplied by 10)+(347 multiplied by 6)
b A LaTex expression showing (350 multiplied by 13)+(350 multiplied by 6)
c A LaTex expression showing (350 multiplied by 10)+(350 multiplied by 6)
d A LaTex expression showing (350 multiplied by 10)+(350 multiplied by 2)
e A LaTex expression showing (350 multiplied by 10)+(350 multiplied by 7)
f A LaTex expression showing (353 multiplied by 10)+(353 multiplied by 6)
6
How can you multiply 405 by 26 by breaking 26 apart
A LaTex expression showing \begin{aligned}405\hphantom{.}\\[-0.5em]\underline{ multiplied by 26\hphantom{.}}\end{aligned}\\
a A LaTex expression showing (403 multiplied by 20)+(403 multiplied by 6)
b A LaTex expression showing (409 multiplied by 20)+(409 multiplied by 6)
c A LaTex expression showing (405 multiplied by 20)+(405 multiplied by 9)
d A LaTex expression showing (405 multiplied by 20)+(405 multiplied by 10)
e A LaTex expression showing (405 multiplied by 20)+(405 multiplied by 6)
f A LaTex expression showing (405 multiplied by 24)+(405 multiplied by 6)
7
How can you multiply 166 by 23 by breaking 23 apart
A LaTex expression showing \begin{aligned}166\hphantom{.}\\[-0.5em]\underline{ multiplied by 23\hphantom{.}}\end{aligned}\\
a A LaTex expression showing (166 multiplied by 20)+(166 multiplied by 4)
b A LaTex expression showing (168 multiplied by 20)+(168 multiplied by 3)
c A LaTex expression showing (169 multiplied by 20)+(169 multiplied by 3)
d A LaTex expression showing (166 multiplied by 20)+(166 multiplied by 3)
e A LaTex expression showing (166 multiplied by 20)+(166 multiplied by 2)
f A LaTex expression showing (166 multiplied by 15)+(166 multiplied by 3)