Students solve three real-world problems comparing a city to a town using powers of 10, calculating factory output for 10³ days, and identifying Earth's distance in scientific notation. Part B has five problems writing large numbers as products with powers of 10 and converting between units.
Real-world problems involving population comparisons, production rates, and scientific distances apply powers of 10 in the science and social studies contexts where fifth graders most commonly encounter large numbers.
Style:
Place Value & Powers of 10
Part A: Multiple Choice
Circle the best answer for each question.
1. A city has about 2 × 10⁶ people. A town has about 2 × 10⁴ people. The city is how many times larger?
A) 10 times
B) 100 times
C) 1,000 times
D) 10,000 times
2. A factory produces 8,500 items per day. How many items does it produce in 10³ days?
A) 85,000
B) 850,000
C) 8,500,000
D) 85,000,000
3. Earth is about 150,000,000 km from the Sun. Which expression shows this distance?
A) 15 × 10⁶
B) 1.5 × 10⁸
C) 15 × 10⁸
D) 1.5 × 10⁷
4. A school raised $4,200. Another school raised 10² times as much. How much did the second school raise?
A) $42,000
B) $420,000
C) $4,200,000
D) $42
Part B: Fill in the Blank
Write the correct answer on each line.
1. A stadium holds 65,000 people. Write as a product: 65 × 10³.
2. A library has 3 × 10⁵ books. That is 300,000 books.
3. A state is about 400,000 meters wide. In kilometers (÷ 1,000) that is 400 km.
4. A website had 9,100,000 visitors. The 9 in this number has a value of 9 million.
5. If you divide 5,600,000 by 10⁴, you get 560.
Place Value & Powers of 10
★ Part A: Multiple Choice
Circle the best answer for each question.
1. A city has about 2 × 10⁶ people. A town has about 2 × 10⁴ people. The city is how many times larger?
A) 10 times
B) 100 times
C) 1,000 times
D) 10,000 times
2. A factory produces 8,500 items per day. How many items does it produce in 10³ days?
A) 85,000
B) 850,000
C) 8,500,000
D) 85,000,000
3. Earth is about 150,000,000 km from the Sun. Which expression shows this distance?
A) 15 × 10⁶
B) 1.5 × 10⁸
C) 15 × 10⁸
D) 1.5 × 10⁷
4. A school raised $4,200. Another school raised 10² times as much. How much did the second school raise?
A) $42,000
B) $420,000
C) $4,200,000
D) $42
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) A stadium holds 65,000 people. Write as a product: 65 × 10³.
2) A library has 3 × 10⁵ books. That is 300,000 books.
3) A state is about 400,000 meters wide. In kilometers (÷ 1,000) that is 400 km.
4) A website had 9,100,000 visitors. The 9 in this number has a value of 9 million.
5) If you divide 5,600,000 by 10⁴, you get 560.
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9 Questions
12-18 minutes
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