# Math Expressions Grade 5 Unit 8 Lesson 17 Answer Key Focus on Mathematical Practices

## Math Expressions Common Core Grade 5 Unit 8 Lesson 17 Answer Key Focus on Mathematical Practices

Math Expressions Grade 5 Unit 8 Lesson 17 Homework

Solve.

On the grid below, draw and label an aquarium shaped like a rectangular prism with a volume of 8,000 cubic inches. (Hint: A cube is a rectangular prism, and 2 × 2 × 2 = 8.)

Math Expressions Grade 5 Mathematical Practices Pdf Question 2.
Calculate the perimeter of the top of your aquarium. Then calculate the area of its base.
P = ________________
A = ________________

The rectangular prism you drew for Problem 1 is not the only rectangular prism that has a volume of 8,000 cubic inches. Other prisms are possible. On the grid below, use a new color and draw a different rectangular prism that has a volume of 8,000 cubic inches.

Math Expressions Grade 5 Unit 8 Lesson 17 Remembering

Complete the pattern.

22 × 101 = 22 × 10 = ___________
22 × 102 = 22 × 100 = __________
22 × 103 = 22 × 1,000 = __________
22 × 104 = 22 × 10,000 = __________
220.
2,200.
22,000.
220,000.

Explanation:
22 × 101 = 22 × 10 = 220.
22 × 102 = 22 × 100 = 2,200.
22 × 103 = 22 × 1,000 = 22,000.
22 × 104 = 22 × 10,000 =220,000

412 × 101 = _________ = 4,120
412 × 102 = 412 × 100 = __________
412 × 103 = ___________ = 412,000
412 × 104 = 412 × 10,000 = __________
412 × 10,
41,200,
412 × 1,000,
4,120,000.

Explanation:
412 × 101 = 412 × 10 = 4,120.
412 × 102 = 412 × 100 = 41,200.
412 × 103 = 412 × 1,000 = 412,000.
412 × 104 = 412 × 10,000 = 4,120,000.

Question 3.
56 × 101 = _________ = 560
56 × 102 = _________ = 5,600
56 × 103 = __________ = 56,000
56 × 104 = __________ = 560,000
56 × 10,
56 × 100,
56 × 1,000,
56 × 10,000.

Explanation:
56 × 101 = 56 × 10 = 560.
56 × 102 = 56 × 100 = 5,600.
56 × 103 = 56 × 1,000 = 56,000.
56 × 104 = 56 × 10,000 = 560,000.

Question 4.
8 × 101 = 8 × 10 = __________
8 × 102 = 8 × 100 = ___________
8 × 103 = 8 × 1,000 = ___________
8 × 104 = 8 × 10,000 = __________
80,
800,
8,000,
80,000.

Explanation:
8 × 101 = 8 × 10 = 80.
8 × 102 = 8 × 100 = 800.
8 × 103 = 8 × 1,000 = 8,000.
8 × 104 = 8 × 10,000 =80,000.

Draw a shape that fits the description. Mark all congruent segments and right angles.

Question 5.
a triangle with a right angle and exactly two congruent sides
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