Key Concepts
- Addition Notation To describe addition, we can use symbols and words.
Operation Notation Expression Read as Result Addition [latex]+[/latex] [latex]3+4[/latex] three plus four the sum of [latex]3[/latex] and [latex]4[/latex] - Identity Property of Addition
- The sum of any number [latex]a[/latex] and [latex]0[/latex] is the number.
- [latex]a+0=a[/latex]
- [latex]0+a=a[/latex]
- The sum of any number [latex]a[/latex] and [latex]0[/latex] is the number.
- Commutative Property of Addition
- Changing the order of the addends [latex]a[/latex] and [latex]b[/latex] does not change their sum: [latex]a+b=b+a[/latex] .
- Add whole numbers.
- Write the numbers so each place value lines up vertically.
- 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.
- Continue adding each place value from right to left, adding each place value and carrying if needed.
Glossary
sum The sum is the result of adding two or more numbers.