Skill: Add using partial sums

To add with partial sums, break each number into its place-value parts. Add the thousands, hundreds, tens, and ones separately, then combine the results.

Example: Find $3{,}482+2{,}759$.

1. Break apart both numbers:

$$3{,}482=3{,}000+400+80+2$$ $$2{,}759=2{,}000+700+50+9$$

2. Add matching place values:

   • Thousands: $3{,}000+2{,}000=5{,}000$
   • Hundreds: $400+700=1{,}100$
   • Tens: $80+50=130$
   • Ones: $2+9=11$

   The sums of $1{,}100$, $130$, and $11$ show regrouping: $1{,}100$ includes a thousand, $130$ includes a hundred, and $11$ includes a ten.

3. Combine the partial sums:

$$5{,}000+1{,}100+130+11=6{,}241$$

Therefore,

$$\boxed{3{,}482+2{,}759=6{,}241}$$