Lesson Focus
This issue practices Place Value Review in Pre-Algebra.
Synopsis
Place value describes how the position of a digit determines its value. In a base-ten system, moving one place to the left multiplies a digit’s value by ten, while moving one place to the right divides its place value by ten. For example, the 7 in 72,409 represents 70,000 because it is located in the ten-thousands place. Expanded form makes this structure visible by separating a number into the values of its individual digits.
In this issue, you review how to identify place positions, determine the value represented by a digit, and convert between standard and expanded forms. You also consider the role of zero as a placeholder. A strong understanding of place value supports later work with decimals, scientific notation, estimation, and algebraic expressions involving powers of ten.
Practice Problems
Problem 1. What is the value of the 7 in 72,409?
A. 7
B. 70
C. 700
D. 7,000
E. 70,000
Problem 2. Which digit is in the ten-thousands place in 156,230?
A. 1
B. 5
C. 6
D. 2
E. 3
Problem 3. Write 9,000 + 80 + 4 in standard form.
A. 9,084
B. 9,804
C. 9,840
D. 984
E. 90,804
Problem 4. In 43,912, the digit 3 is in which place?
A. ones
B. tens
C. hundreds
D. thousands
E. ten-thousands
Problem 5. Which number has a 6 in the hundreds place?
A. 6,120
B. 4,681
C. 2,604
D. 9,061
E. 16,002
Problem 6. What is the value of 0 in 8,052?
A. 0
B. 5
C. 50
D. 500
E. Cannot be determined
Problem 7. Which expanded form equals 31,507?
A. 30,000 + 1,000 + 500 + 7
B. 30,000 + 1,000 + 50 + 7
C. 3,000 + 100 + 500 + 7
D. 31,000 + 50 + 7
E. 30,000 + 1,500 + 7
Google Form
Answer Key
- Problem 1: E
- Problem 2: B
- Problem 3: A
- Problem 4: D
- Problem 5: B
- Problem 6: A
- Problem 7: A