Lesson 6.86.8 Small Group · Group 1
Group 1 · Set BSecond form · new problems, same idea
Learning target With my small group, I can use the commutative, associative, and identity properties to rewrite expressions — one step at a time, with support.
Remember6.8 Small Group · Group 1
The Commutative Property changes the order, and the Associative Property changes the grouping. Neither one changes a sum or a product. Properties let you change the order or the grouping of numbers without changing a sum or product.
Words: Properties of Operations (Propiedades de las operaciones)Commutative Property (Propiedad conmutativa)Associative Property (Propiedad asociativa)Identity Property (Propiedad de identidad)Property (Propiedad)
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1Complete each step, then write the final answer.
Which property does (4 + 6) + 3 = 4 + (6 + 3) show? Type commutative or associative.
Show your workHint Look at the numbers. Did the order change, or only the parentheses?
Final answer: -
2Complete each step, then write the final answer.
Use properties to find 7 + 16 + 3. Add the friendly pair first.
Show your workHint 7 and 3 make a ten. Move them next to each other.
Final answer: -
3Complete each step, then write the final answer.
A baker fills 5 trays. Each tray has 6 rows of 2 muffins. Find 5 × 6 × 2 by multiplying a friendly pair first.
Show your workHint 5 × 2 makes 10. Move the 2 next to the 5.
Final answer: -
4Complete each step, then write the final answer.
Use properties to find 4 × 13 × 25 × 1.
Show your workHint Move the 25 next to the 4. What does × 1 do to a number?
Final answer:
Explain your thinkingHow can you tell the Commutative Property from the Associative Property? Use (2 × 5) × 7 = 2 × (5 × 7) to explain.
Sentence starter The Commutative Property changes the ___. · The Associative Property changes the ___ but keeps the ___.