Lesson 6.146.14 Small Group · Group 1
Group 1 · Set BSecond form · new problems, same idea
Learning target With my small group, I can use the distributive property to expand and factor expressions — one step at a time, with support.
Remember6.14 Small Group · Group 1
To use the distributive property, multiply the outside number by every term inside the parentheses, then add the products. The distributive property says you can multiply a number by each part inside the parentheses, then add.
Words: The Distributive Property (La propiedad distributiva)Distributive Property (Propiedad distributiva)Factor (Factor)Expand (Desarrollar)Equivalent (Equivalente)
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1Complete each step, then write the final answer.
Use the distributive property to find 5(6 + 2). Write 5 × 6 + 5 × 2 first.
Show your workHint Find 5 × 6 and 5 × 2. Then add the two products.
Final answer: -
2Complete each step, then write the final answer.
Use the distributive property to find 7(10 + 3).
Show your workHint Multiply 7 by 10 and 7 by 3. Then add.
Final answer: -
3Complete each step, then write the final answer.
Find the area of each part, then add. A garden is 6 feet wide. It has a 9-foot part and a 2-foot part. Use 6(9 + 2) to find its area in square feet.
Show your workHint Find the area of each part: 6 × 9 and 6 × 2. Then add.
Final answer: -
4Complete each step, then write the final answer.
Both products in 9 × 6 + 9 × 4 have the factor 9. Write it as 9(6 + 4). What is its value?
Show your workHint This is the distributive property backward. Add inside the parentheses first.
Final answer:
Explain your thinkingRay forgot one product. Why must the outside number multiply every term inside the parentheses?
Sentence starter The 3 multiplies both ___ and ___. · Ray's answer is too small because ___.