Compair numbers up to one million.

Standard: 4.NBT.A.2

Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on the meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

Learning Outcomes

Recognize and understand place values up to one million, including hundred thousand, ten thousand, thousands, hundreds, tens, and ones.
Compare numbers up to one million by evaluating digits in each place value, from the highest to the lowest.
Use comparison symbols (<, >, =) to express which number is greater, smaller, or equal accurately.
Develop a strong understanding of the relative size of large numbers, enhancing their ability to order and compare them.
Use their skills to interpret and compare large numbers in practical contexts, such as population data, distances, or measurements in science and social studies.

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Comparing Numbers:

Comparing numbers means determining which of the two numbers is larger or smaller. To compare numbers up to one million, we look at the value of each digit starting from the highest place (hundred thousand, ten thousand, thousands, hundreds, tens, and ones). We compare digits place-by-place, beginning with the largest place value.

Example 1:

Compare 452,783 and 478,921.

Solution:

Start by looking at the hundred thousand places:
- The first number has 4 in the hundred-thousandth place.
- The second number also has 4 in the hundred-thousandth place.
- Since they are the same, move to the next place (ten thousand).
Look at the ten thousand places:
- The first number has 5 in the ten thousand places.
- The second number has 7 in the ten thousand places.
- Since 7 is greater than 5, 478,921 is greater than 452,783.

Solution: 452,783 < 478,921.

Example 2:

Real-life Scenario:

A fruit seller keeps track of apples sold over two weeks.

In Week 1, he sold 6,780 apples.
In Week 2, he sold 7,215 apples.

Question:
In which week did he sell more apples?

Solution:
Compare the numbers:

6,780 < 7,215

So, the seller sold more apples in Week 2.

Why it matters:

Comparing numbers up to one million helps students develop number sense and understand the value of large numbers. This skill is essential for solving real-life problems, like analyzing data or managing budgets, and it strengthens critical thinking and decision-making abilities.