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Decomposing the Numbers Worksheet

Decomposing 9 and 10 into two parts, two different ways each, with a worked example for 5 and space to show each split as a picture or an equation.
Grades
Preschool–Pre-K, Grades 1–2, Elementary
File type
PDF
Preparation
Print ready

Updated Oct 19, 2026

Subject
Math, Addition and Subtraction, Addition
Resource types
Worksheets & Printables, Worksheets
Preparation
Print ready

About this resource

What's inside this resource

Decomposing the Numbers Worksheet helps young learners gain a deeper understanding of place value and number composition. Students break numbers apart into sums of two addends, strengthening mental math skills. Educators can implement this resource in small groups or whole class to reinforce place value concepts. Learners will decompose numbers up to 20 in a variety of ways, engaging critical thinking. This activity primes students for mental math strategies like making 10 and breaking apart numbers into landmark sums. Use periodically for warm-ups or homework to give repeated practice decomposing numbers into component parts. Decomposing numbers forms connections that support addition fluency. With visual models and repeated practice, this resource builds number sense and lays the foundation for math success.

Connect the number pairs to pictures with this decomposing numbers from 10 to 20 worksheet.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Break a number into two parts in more than one way
  • Record a decomposition as an addition equation

Teaching tips

  • Counting objects, suggested in the directions, let students build each split before drawing or writing it.

Skills covered

  • Number decomposition — finding two different pairs that make 9 and 10
  • Representing math — showing each pair as a picture and an equation

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Resource details

Core concepts

Core concepts

  • Decomposing numbers
  • Addition
  • Number pairs

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