Fifth graders take on scientific-notation puzzles and tricky power-of-10 reasoning. Students identify that a 6 in the ten-thousands place equals 6 × 10⁴, write 50,300 as (5 × 10⁴) + (3 × 10²), evaluate 0.25 × 10⁵, and judge whether 8 × 10⁴ truly equals 80 × 10³. Fill-ins include rewriting 2,400,000 as 24 × 10⁵, computing 1.35 × 10⁴, and dividing 6,090,000 by 10³.
These multi-step puzzles strengthen the flexible exponent thinking students will lean on in middle-school work with very large and very small numbers.
Style:
Place Value & Powers of 10
Part A: Multiple Choice
Circle the best answer for each question.
1. A number has a 6 in the ten-thousands place. Its value from that digit alone is 6 × 10 to what power?
A) 10³
B) 10⁴
C) 10⁵
D) 10⁶
2. Which shows 50,300 written as two terms with powers of 10?
A) (5 × 10⁴) + (3 × 10³)
B) (5 × 10⁴) + (3 × 10²)
C) (5 × 10³) + (3 × 10²)
D) (5 × 10⁵) + (3 × 10²)
3. 0.25 × 10⁵ equals which value?
A) 250
B) 2,500
C) 25,000
D) 250,000
4. Sam says 8 × 10⁴ is the same as 80 × 10³. Is he correct, and why?
A) No — 80 × 10³ = 800,000
B) Yes — both equal 80,000
C) No — 8 × 10⁴ = 8,000
D) Yes — both equal 800,000
Part B: Fill in the Blank
Write the correct answer on each line.
1. Write 2,400,000 as 24 times a power of 10: 24 × 10 to the power of 5.
2. The digit 8 in 830,000 has a value that is 100 times the value of the 8 in 8,300.
3. (9 × 10⁵) + (4 × 10²) + (6 × 10⁰) = 900,406.
4. 1.35 × 10⁴ = 13,500.
5. 6,090,000 ÷ 10³ = 6,090.
Place Value & Powers of 10
★ Part A: Multiple Choice
Circle the best answer for each question.
1. A number has a 6 in the ten-thousands place. Its value from that digit alone is 6 × 10 to what power?
A) 10³
B) 10⁴
C) 10⁵
D) 10⁶
2. Which shows 50,300 written as two terms with powers of 10?
A) (5 × 10⁴) + (3 × 10³)
B) (5 × 10⁴) + (3 × 10²)
C) (5 × 10³) + (3 × 10²)
D) (5 × 10⁵) + (3 × 10²)
3. 0.25 × 10⁵ equals which value?
A) 250
B) 2,500
C) 25,000
D) 250,000
4. Sam says 8 × 10⁴ is the same as 80 × 10³. Is he correct, and why?
A) No — 80 × 10³ = 800,000
B) Yes — both equal 80,000
C) No — 8 × 10⁴ = 8,000
D) Yes — both equal 800,000
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) Write 2,400,000 as 24 times a power of 10: 24 × 10 to the power of 5.
2) The digit 8 in 830,000 has a value that is 100 times the value of the 8 in 8,300.
3) (9 × 10⁵) + (4 × 10²) + (6 × 10⁰) = 900,406.
4) 1.35 × 10⁴ = 13,500.
5) 6,090,000 ÷ 10³ = 6,090.
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