Double-digit addition is just one of the many mathematical concepts that students are expected to master in first and second grade, and it comes in many shapes and sizes. Many adults are probably comfortable performing double digit addition with regrouping, also called borrowing or carrying.

The word "regrouping" describes what happens when numbers are shifted into the appropriate place value. This means shifting numbers into a higher place value if, after adding digits together, they no longer fit where they started. For example, 10 ones should become one 10 and 10 tens needs to become one 100. The value of the numbers do not change, you just adjust place values. When performing double digit addition with regrouping, students use their knowledge of base ten to simplify their numbers before finding a final sum.

### Double Digit Addition Without Regrouping

Students will also encounter double digit addition *without* regrouping, or double-digit addition that does not require them to make changes to the place value of any digits in order to calculate a sum. This simpler version of double-digit addition is an essential building block to learning more advanced mathematical concepts. Two-digit addition without regrouping is just one of the many steps that students must take to become more skilled mathematicians.

Without first understanding how to add without regrouping, students will find it extremely difficult to add when regrouping is required. That is why it is important for teachers to provide constant practice with addition and only introduce more sophisticated addition once students are comfortable adding when carrying is not involved.

### Printable 2-Digit Addition Handouts

These printable two-digit addition without regrouping handouts will help your students to understand the basics of double-digit addition. The answer key for each can be found on page two of the following linked PDF documents:

These handouts can be used to supplement instruction and provide additional practice to students. Whether completed during math centers/rotations or sent home, these math problems are sure to give your students the support they need to become proficient in addition.

### Additional Ways to Support Students

A strong foundational understanding of base-ten number values and the place value system is required before students can be successful adding larger numbers together. Set your students up for success before beginning addition instruction by utilizing tools that support their understanding of place value and base ten. Review base ten blocks, number lines, ten frames, and any other hands-on or visual supports that help your students to understand these concepts. Keep anchor charts and activities in the classroom as well for easy reference and review. Allow varied experiences with participation structures but maintain steady small group or one-on-one instruction.

The early years of elementary school math are pivotal in the development of real-world mathematical skills that students will use throughout their entire life, so it is more than worth investing the time and energy into effective teaching of double-digit addition.