Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Place Value Columns: Understanding the value of each digit (Units, Tens, Hundreds, Thousands, Ten Thousands, Hundred Thousands).
Comparing Digit Counts: A number with more digits is always greater than a number with fewer digits (e.g., 10,000 is greater than 9,999).
Left-to-Right Comparison: When two numbers have the same number of digits, compare them starting from the highest place value (the leftmost digit).
Inequality Symbols: Using '>' (greater than), '<' (less than), and '=' (equal to) to represent relationships between numbers.
Ascending Order: Arranging numbers from the smallest to the largest value.
Descending Order: Arranging numbers from the largest to the smallest value.
📐Formulae
💡Examples
Problem 1:
Compare the following numbers using < or >: 65,403 and 65,430.
Solution:
65,403 < 65,430
Explanation:
Both numbers have 5 digits. We compare from left to right. The Ten Thousands (6), Thousands (5), and Hundreds (4) are the same. In the Tens place, 0 is less than 3, so 65,403 is the smaller number.
Problem 2:
Arrange these numbers in ascending order: 12,500; 9,890; 12,050; 12,505.
Solution:
9,890; 12,050; 12,500; 12,505
Explanation:
First, identify the number with the fewest digits (9,890), which is the smallest. For the remaining 5-digit numbers, compare the hundreds: 0 is smaller than 5. Between 12,500 and 12,505, 12,500 is smaller because it has 0 in the units place compared to 5.
Problem 3:
Identify the value of the digit 7 in the number 724,310.
Solution:
700,000
Explanation:
The digit 7 is in the Hundred Thousands place. Therefore, its value is .