Comparing Numbers worksheet with exercises to determine which decimal is greater or lesser.

Problem Description:

The task involves comparing pairs of numbers and determining whether the first number is greater than, less than, or equal to the second number. The comparison should be written using the symbols `>`, `<`, or `=`.

Steps to Solve:

1. Understand the Task: For each pair of numbers, compare them and decide if the first number is greater than (`>`), less than (`<`), or equal to (`=`) the second number.
2. Examples Provided:
- \( 2,620 > 1,561 \): The first number is greater than the second.
- \( 4,378 < 9,962 \): The first number is less than the second.
- \( 3,683 = 3,683 \): The two numbers are equal.
3. Apply the Same Logic to Each Pair:
- Compare the digits from left to right for each pair.
- If the first number is larger at any point, use `>`.
- If the second number is larger at any point, use `<`.
- If all digits are the same, use `=`.

Solution:

Let's solve each pair step by step:

#### Pair A: \( 7,918 \) and \( 8,236 \)
- Compare the thousands place: \( 7 < 8 \).
- Conclusion: \( 7,918 < 8,236 \).

#### Pair B: \( 4,231 \) and \( 2,965 \)
- Compare the thousands place: \( 4 > 2 \).
- Conclusion: \( 4,231 > 2,965 \).

#### Pair C: \( 5,391 \) and \( 5,129 \)
- Compare the thousands place: Both are \( 5 \).
- Compare the hundreds place: \( 3 > 1 \).
- Conclusion: \( 5,391 > 5,129 \).

#### Pair D: \( 6,012 \) and \( 7,004 \)
- Compare the thousands place: \( 6 < 7 \).
- Conclusion: \( 6,012 < 7,004 \).

#### Pair E: \( 3,875 \) and \( 11,219 \)
- Compare the number of digits: \( 3,875 \) has 4 digits, and \( 11,219 \) has 5 digits.
- Conclusion: \( 3,875 < 11,219 \).

#### Pair F: \( 9,530 \) and \( 9,530 \)
- Compare all digits: Both numbers are identical.
- Conclusion: \( 9,530 = 9,530 \).

#### Pair G: \( 21,420 \) and \( 21,417 \)
- Compare the ten-thousands place: Both are \( 2 \).
- Compare the thousands place: Both are \( 1 \).
- Compare the hundreds place: Both are \( 4 \).
- Compare the tens place: Both are \( 2 \).
- Compare the ones place: \( 0 > 7 \).
- Conclusion: \( 21,420 > 21,417 \).

#### Pair H: \( 4,398 \) and \( 43,938 \)
- Compare the number of digits: \( 4,398 \) has 4 digits, and \( 43,938 \) has 5 digits.
- Conclusion: \( 4,398 < 43,938 \).

#### Pair I: \( 37,856 \) and \( 37,856 \)
- Compare all digits: Both numbers are identical.
- Conclusion: \( 37,856 = 37,856 \).

#### Pair J: \( 83,912 \) and \( 92,802 \)
- Compare the ten-thousands place: \( 8 < 9 \).
- Conclusion: \( 83,912 < 92,802 \).

#### Pair K: \( 16,547 \) and \( 15,647 \)
- Compare the ten-thousands place: Both are \( 1 \).
- Compare the thousands place: \( 6 > 5 \).
- Conclusion: \( 16,547 > 15,647 \).

#### Pair L: \( 62,319 \) and \( 62,719 \)
- Compare the ten-thousands place: Both are \( 6 \).
- Compare the thousands place: Both are \( 2 \).
- Compare the hundreds place: Both are \( 3 \).
- Compare the tens place: \( 1 < 7 \).
- Conclusion: \( 62,319 < 62,719 \).

#### Pair M: \( 51,674 \) and \( 51,674 \)
- Compare all digits: Both numbers are identical.
- Conclusion: \( 51,674 = 51,674 \).

#### Pair N: \( 49,287 \) and \( 49,287 \)
- Compare all digits: Both numbers are identical.
- Conclusion: \( 49,287 = 49,287 \).

#### Pair O: \( 27,388 \) and \( 27,388 \)
- Compare all digits: Both numbers are identical.
- Conclusion: \( 27,388 = 27,388 \).

#### Pair P: \( 176,423 \) and \( 176,423 \)
- Compare all digits: Both numbers are identical.
- Conclusion: \( 176,423 = 176,423 \).

Final Answer:

\[
\boxed{
\begin{array}{ll}
A. & 7,918 < 8,236 \\
B. & 4,231 > 2,965 \\
C. & 5,391 > 5,129 \\
D. & 6,012 < 7,004 \\
E. & 3,875 < 11,219 \\
F. & 9,530 = 9,530 \\
G. & 21,420 > 21,417 \\
H. & 4,398 < 43,938 \\
I. & 37,856 = 37,856 \\
J. & 83,912 < 92,802 \\
K. & 16,547 > 15,647 \\
L. & 62,319 < 62,719 \\
M. & 51,674 = 51,674 \\
N. & 49,287 = 49,287 \\
O. & 27,388 = 27,388 \\
P. & 176,423 = 176,423 \\
\end{array}
}
\]