Comparing Multi-Digit Numbers
This Grade 4 Eureka Math skill teaches students to compare multi-digit whole numbers by first checking digit count and then comparing digits from the greatest place value leftward. A number with more digits is always greater regardless of its digits. When digit counts match, students compare place by place from left until finding a differing digit. For example, 115,234 has 6 digits versus 98,765 with 5 digits, so 115,234 is greater. For two 5-digit numbers like 54,821 and 52,999, both start with 5 but the ten-thousands and thousands positions determine the result. This skill is in Chapter 2 of Eureka Math Grade 4.
Key Concepts
To compare two numbers, first check the number of digits. The number with more digits is greater. If they have the same number of digits, compare the digits from left to right, starting with the largest place value, until you find a place where the digits are different.
Common Questions
How do you compare two numbers with different numbers of digits?
The number with more digits is always greater. For example, 115,234 has 6 digits and 98,765 has 5 digits, so 115,234 > 98,765 without comparing individual digits.
How do you compare 54,821 and 52,999?
Both have 5 digits. Start at the ten-thousands: both have 5. Move to thousands: 4 > 2. Since 54,821 has a larger thousands digit, 54,821 > 52,999.
Which place value do you compare first when numbers have the same number of digits?
Start with the greatest place value (leftmost digit). If those digits are equal, move one place to the right and compare again, continuing until you find a difference.
What if all digits are the same in two numbers?
If all digits in every place value are identical, the numbers are equal.
What symbols do you use to record comparisons?
Use greater than (>), less than (<), or equal to (=). For example, 54,821 > 52,999.