Mathematics
Grade 6
15 min
Comparing numbers up to 1,000
Comparing numbers up to 1,000
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify the place value of digits in numbers up to 1,000.
Correctly use the comparison symbols (<, >, =) to compare two numbers up to 1,000.
Compare numbers with different numbers of digits up to 1,000.
Compare numbers with the same number of digits by examining their place values from left to right.
Order a set of three or more numbers up to 1,000 in both ascending and descending order.
Apply number comparison skills to solve simple real-world problems.
Have you ever wondered which store has the best deal, or which team scored more points? 🤔 Comparing numbers helps us make sense of quantities all around us!
In this lesson, we'll master the art of comparing numbers up to 1,000. You'll learn simple rules and strategies to determine if on...
2
Key Concepts & Vocabulary
TermDefinitionExample
Place ValueThe value of a digit based on its position in a number. For example, in 345, the '3' is in the hundreds place, '4' in the tens place, and '5' in the ones place.In the number 782, the digit '7' has a place value of 700 (hundreds), '8' has a place value of 80 (tens), and '2' has a place value of 2 (ones).
DigitA single symbol used to write numbers. The digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.The number 529 is made up of three digits: 5, 2, and 9.
Greater Than (>)A mathematical symbol used to show that the first number is larger than the second number.150 > 120 (One hundred fifty is greater than one hundred twenty).
Less Than (<)A mathematical symbol used to show that the first number is...
3
Core Formulas
Rule 1: Comparing Numbers with Different Numbers of Digits
If two numbers have a different number of digits, the number with more digits is always the greater number.
This rule is the first step in comparing numbers. For example, a 3-digit number (like 123) will always be greater than a 2-digit number (like 99).
Rule 2: Comparing Numbers with the Same Number of Digits
If two numbers have the same number of digits, compare them by looking at the digits from the leftmost place value (largest place value) to the rightmost place value (smallest place value).
Start by comparing the hundreds digits. If they are the same, move to the tens digits. If those are also the same, move to the ones digits. The first pair of digits that are different will tell you which number is greater. F...
5 more steps in this tutorial
Sign up free to access the complete tutorial with worked examples and practice.
Sign Up Free to ContinueSample Practice Questions
Challenging
A number is between 700 and 800. The sum of its digits is 15. The tens digit is 2 less than the hundreds digit. What is the number?
A.753
B.744
C.852
D.735
Challenging
How many whole numbers are there between 398 and 420 that have a '1' in the tens place?
A.9
B.10
C.11
D.2
Challenging
A student claims that to order the numbers 98, 501, and 105, you should first compare 98 and 105 (since 9>1), then compare the winner to 501. This leads to the incorrect order 501 > 98 > 105. What fundamental rule of comparison did the student break?
A.The rule of comparing from left to right.
B.The rule for misinterpreting comparison symbols.
C.The rule that the number with more digits is always greater.
D.The rule of checking the ones place value first.
Want to practice and check your answers?
Sign up to access all questions with instant feedback, explanations, and progress tracking.
Start Practicing Free