standard_description: Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) ^( )Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)
problem_activity: Problem 1
Mark and label a point for each fraction below on the number line to its right.
a.
| $$\frac{1}{3}$$ | .. image:: https://d37su8u1z9ynie.cloudfront.net/uploads/2019/03/29/math3_u6_l10_tt1.png |
|-----------------|------------------------------------------------------------------------------------------|
b.
| $$\frac{5}{6}$$ | .. image:: https://d37su8u1z9ynie.cloudfront.net/uploads/2019/03/29/math3_u6_l10_tt1.png |
|-----------------|------------------------------------------------------------------------------------------|
c.
| $$\frac{3}{8}$$ | .. image:: https://d37su8u1z9ynie.cloudfront.net/uploads/2019/03/29/math3_u6_l11_at1b.png |
|-----------------|-------------------------------------------------------------------------------------------|
Problem 2
Determine the location of each of the following points.
a.
[IMG]
b.
[IMG]
Problem 3
Erin walked 1 mile from her house to the library. Along the way, she passed several places shown on the number line below.
[IMG]
a.   Which place is
$$\frac{4}{8} $$
mile from Erin’s house?
b.   Erin also passed the fire station, which is
$$\frac{1}{8} $$
mile from Erin’s house. Plot the location of the fire station on the number line above.
c.   What is the distance, in miles, between the park and the market?


aligns: no