Learn on PengienVision, Mathematics, Grade 4Chapter 2: Fluently Add and Subtract Multi-Digit Whole Numbers

Lesson 3: Add Whole Numbers

In this Grade 4 enVision Mathematics lesson from Chapter 2, students learn to add multi-digit whole numbers using two key strategies: partial sums and the standard algorithm for addition, including regrouping ones and tens. The lesson connects place-value concepts to efficient addition procedures, guiding students through step-by-step regrouping when sums exceed 9 ones or 9 tens. Practice problems and real-world word problems help students build fluency with multi-digit addition.

Section 1

Adding Whole Numbers Using Partial Sums

Property

To add using partial sums, find the sum for each place value (ones, tens, hundreds, etc.) separately. These are the partial sums. Then, add all the partial sums together to find the final sum.

Examples

Section 2

Adding Multi-Digit Numbers

Property

To add whole numbers:
Step 1. Write the numbers so each place value lines up vertically.
Step 2. Add the digits in each place value. Work from right to left starting with the ones place. If a sum in a place value is more than 9, carry to the next place value.
Step 3. Continue adding each place value from right to left, adding each place value and carrying if needed.

Examples

  • For 481+352481 + 352, add the ones: 1+2=31+2=3. Add the tens: 8+5=138+5=13. Write 3, carry 1. Add the hundreds: 1+4+3=81+4+3=8. The sum is 833833.
1481+352833\begin{array}{rrrr} & \overset{1}{} & &\\ & 4 & 8 & 1 \\ + & 3 & 5 & 2 \\ \hline & 8 & 3 & 3 \\ \end{array}

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Adding Whole Numbers Using Partial Sums

Property

To add using partial sums, find the sum for each place value (ones, tens, hundreds, etc.) separately. These are the partial sums. Then, add all the partial sums together to find the final sum.

Examples

Section 2

Adding Multi-Digit Numbers

Property

To add whole numbers:
Step 1. Write the numbers so each place value lines up vertically.
Step 2. Add the digits in each place value. Work from right to left starting with the ones place. If a sum in a place value is more than 9, carry to the next place value.
Step 3. Continue adding each place value from right to left, adding each place value and carrying if needed.

Examples

  • For 481+352481 + 352, add the ones: 1+2=31+2=3. Add the tens: 8+5=138+5=13. Write 3, carry 1. Add the hundreds: 1+4+3=81+4+3=8. The sum is 833833.
1481+352833\begin{array}{rrrr} & \overset{1}{} & &\\ & 4 & 8 & 1 \\ + & 3 & 5 & 2 \\ \hline & 8 & 3 & 3 \\ \end{array}