Students identify which expression equals 450,000, find which number has a 3 with 10 times the value of a given 3, and convert a sum of powers to standard form. Part B has five problems about relative place value, multiplying decimals by powers of 10, and dividing by 10².
Reasoning about relative place values and converting power-of-10 expressions to standard form are the most demanding place value skills at Grade 5.
Style:
Place Value & Powers of 10
Part A: Multiple Choice
Circle the best answer for each question.
1. Which expression equals 450,000?
A) 45 × 10²
B) 45 × 10³
C) 4.5 × 10⁵
D) 4.5 × 10⁴
2. The digit 3 in which number has a value 10 times the value of the 3 in 43,600?
A) 530,000
B) 304,200
C) 93,150
D) 73,610
3. What is (6 × 10⁵) + (9 × 10³) + (2 × 10¹) in standard form?
A) 690,020
B) 609,020
C) 600,920
D) 609,200
4. If you multiply 0.037 by 10⁴, what do you get?
A) 37
B) 370
C) 3,700
D) 37,000
Part B: Fill in the Blank
Write the correct answer on each line.
1. In 7,264,500 the value of the 2 is 10,000 times the value of the 2 in 328.
2. 5.08 × 10³ = 5,080.
3. 840,000 ÷ 10² = 8,400.
4. Write 70,000 as a single digit times a power of 10: 7 × 10⁴.
5. A number has the digit 4 in the hundred-thousands place. Its value is 4 × 10 to the power of 5.
Place Value & Powers of 10
★ Part A: Multiple Choice
Circle the best answer for each question.
1. Which expression equals 450,000?
A) 45 × 10²
B) 45 × 10³
C) 4.5 × 10⁵
D) 4.5 × 10⁴
2. The digit 3 in which number has a value 10 times the value of the 3 in 43,600?
A) 530,000
B) 304,200
C) 93,150
D) 73,610
3. What is (6 × 10⁵) + (9 × 10³) + (2 × 10¹) in standard form?
A) 690,020
B) 609,020
C) 600,920
D) 609,200
4. If you multiply 0.037 by 10⁴, what do you get?
A) 37
B) 370
C) 3,700
D) 37,000
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) In 7,264,500 the value of the 2 is 10,000 times the value of the 2 in 328.
2) 5.08 × 10³ = 5,080.
3) 840,000 ÷ 10² = 8,400.
4) Write 70,000 as a single digit times a power of 10: 7 × 10⁴.
5) A number has the digit 4 in the hundred-thousands place. Its value is 4 × 10 to the power of 5.
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9 Questions
12-18 minutes
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