Commutative means the order can change, associative means the grouping can change, and distributive means a factor spreads across a sum. The identity and inverse properties are about 0 and 1.
Changing the grouping of a sum is the associative property.
The answer is Associative property of addition.
Where students go wrong
Mixing up commutative and associative. If the numbers move, it is commutative; if only the parentheses move, it is associative.
Also called commutative property, associative property, identity property or number properties.
What you can put on this worksheet
Name the property
Name the property: 9+(4+6)=(9+4)+6→ Associative property of addition
Fill in the blank
Fill in the blank to make the distributive property true: 9(4+6)=9×4+×6→ 9
Questions about these worksheets
Yes. Every properties of operations sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.
Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.
Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.
Pre-Algebra is usually taken around 7th or 8th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.
Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.
That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the properties of operations questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.
Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.
You pick from 2: name the property and fill in the blank. Tick as many as you want and set how many of each, or let it spread them evenly.
Mixing up commutative and associative. If the numbers move, it is commutative; if only the parentheses move, it is associative.