These tougher items push fifth graders into exponent notation and digit-value comparisons. Students choose the standard form of 3.07 × 10³, decide how many times greater the 6 in 640,000 is than the 6 in 640, and convert (4 × 10⁴) + (8 × 10²) + (5 × 10⁰) to standard form. Fill-ins include 0.062 × 10⁴, writing 900,000 as 9 × 10⁵, and dividing 4,510,000 by 10⁵.
Wrestling with exponent expressions and 100-times digit relationships prepares students for scientific-style notation and decimal multiplication later this year.
Style:
Place Value & Powers of 10
Part A: Multiple Choice
Circle the best answer for each question.
1. Which number equals 3.07 × 10³?
A) 307
B) 3,070
C) 30,700
D) 3,007
2. In the numbers 640 and 640,000, how many times greater is the value of the 6 in 640,000 than in 640?
A) 10 times
B) 100 times
C) 1,000 times
D) 10,000 times
3. What is (4 × 10⁴) + (8 × 10²) + (5 × 10⁰) in standard form?
A) 40,805
B) 4,850
C) 48,005
D) 40,850
4. Which expression is equal to 7,200,000 ÷ 10³?
A) 72
B) 720
C) 7,200
D) 72,000
Part B: Fill in the Blank
Write the correct answer on each line.
1. The digit 5 in 3,500 has a value 100 times the value of the 5 in 35.
2. 0.062 × 10⁴ = 620.
3. Write 900,000 as a single digit times a power of 10: 9 × 10⁵.
4. (2 × 10⁶) + (7 × 10³) + (1 × 10¹) = 2,007,010.
5. 4,510,000 ÷ 10⁵ = 45.1.
Place Value & Powers of 10
★ Part A: Multiple Choice
Circle the best answer for each question.
1. Which number equals 3.07 × 10³?
A) 307
B) 3,070
C) 30,700
D) 3,007
2. In the numbers 640 and 640,000, how many times greater is the value of the 6 in 640,000 than in 640?
A) 10 times
B) 100 times
C) 1,000 times
D) 10,000 times
3. What is (4 × 10⁴) + (8 × 10²) + (5 × 10⁰) in standard form?
A) 40,805
B) 4,850
C) 48,005
D) 40,850
4. Which expression is equal to 7,200,000 ÷ 10³?
A) 72
B) 720
C) 7,200
D) 72,000
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) The digit 5 in 3,500 has a value 100 times the value of the 5 in 35.
2) 0.062 × 10⁴ = 620.
3) Write 900,000 as a single digit times a power of 10: 9 × 10⁵.
4) (2 × 10⁶) + (7 × 10³) + (1 × 10¹) = 2,007,010.
5) 4,510,000 ÷ 10⁵ = 45.1.
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