Worksheet for comparing 5-digit numbers with exercises on using comparison symbols, identifying largest and smallest numbers.

Problem: Comparing 5-Digit Numbers

The task involves comparing 5-digit numbers using the symbols `>`, `<`, or `=` and identifying the largest or smallest numbers in given sets. Let's solve each part step by step.

---

#### Part A: Compare each pair of numbers using >, <, or =

1. 12,469 □ 29,783
- Compare the digits from left to right:
- The first digit of 12,469 is 1, and the first digit of 29,783 is 2.
- Since 1 < 2, we have:
\[
12,469 < 29,783
\]

2. 77,540 □ 77,540
- Both numbers are identical:
\[
77,540 = 77,540
\]

3. 51,935 □ 51,935
- Both numbers are identical:
\[
51,935 = 51,935
\]

4. 86,870 □ 76,980
- Compare the digits from left to right:
- The first digit of 86,870 is 8, and the first digit of 76,980 is 7.
- Since 8 > 7, we have:
\[
86,870 > 76,980
\]

5. 94,652 □ 94,562
- Compare the digits from left to right:
- The first two digits of both numbers are the same (94).
- The third digit of 94,652 is 6, and the third digit of 94,562 is 5.
- Since 6 > 5, we have:
\[
94,652 > 94,562
\]

6. 45,176 □ 46,067
- Compare the digits from left to right:
- The first digit of 45,176 is 4, and the first digit of 46,067 is 4.
- The second digit of 45,176 is 5, and the second digit of 46,067 is 6.
- Since 5 < 6, we have:
\[
45,176 < 46,067
\]

---

#### Part B: Compare the numbers in each set and circle the largest number

1. 47,973, 38,976, 47,977
- Compare the numbers:
- 47,973: First two digits are 47.
- 38,976: First two digits are 38.
- 47,977: First two digits are 47.
- Since 47,977 has the highest value among the three:
\[
\text{Largest number: } 47,977
\]

2. 14,506, 14,605, 14,560
- Compare the numbers:
- All numbers start with 14.
- For 14,506: Next digits are 506.
- For 14,605: Next digits are 605.
- For 14,560: Next digits are 560.
- Since 14,605 has the highest value among the three:
\[
\text{Largest number: } 14,605
\]

3. 55,246, 42,456, 67,054
- Compare the numbers:
- 55,246: First two digits are 55.
- 42,456: First two digits are 42.
- 67,054: First two digits are 67.
- Since 67,054 has the highest value among the three:
\[
\text{Largest number: } 67,054
\]

4. 83,321, 83,123, 83,231
- Compare the numbers:
- All numbers start with 83.
- For 83,321: Next digits are 321.
- For 83,123: Next digits are 123.
- For 83,231: Next digits are 231.
- Since 83,321 has the highest value among the three:
\[
\text{Largest number: } 83,321
\]

---

#### Part C: Compare the numbers in each set and circle the smallest number

1. 62,879, 62,798, 65,987
- Compare the numbers:
- All numbers start with 62 except 65,987.
- For 62,879: Next digits are 879.
- For 62,798: Next digits are 798.
- Since 62,798 is smaller than 62,879 and 65,987:
\[
\text{Smallest number: } 62,798
\]

2. 74,102, 74,110, 85,122
- Compare the numbers:
- All numbers start with 74 except 85,122.
- For 74,102: Next digits are 102.
- For 74,110: Next digits are 110.
- Since 74,102 is smaller than 74,110 and 85,122:
\[
\text{Smallest number: } 74,102
\]

3. 39,540, 39,536, 39,533
- Compare the numbers:
- All numbers start with 39,5.
- For 39,540: Next digits are 40.
- For 39,536: Next digits are 36.
- For 39,533: Next digits are 33.
- Since 39,533 is the smallest:
\[
\text{Smallest number: } 39,533
\]

4. 28,471, 28,071, 31,001
- Compare the numbers:
- All numbers start with 28 except 31,001.
- For 28,471: Next digits are 471.
- For 28,071: Next digits are 071.
- Since 28,071 is smaller than 28,471 and 31,001:
\[
\text{Smallest number: } 28,071
\]

---

Final Answers:

Part A:
1. \( 12,469 < 29,783 \)
2. \( 77,540 = 77,540 \)
3. \( 51,935 = 51,935 \)
4. \( 86,870 > 76,980 \)
5. \( 94,652 > 94,562 \)
6. \( 45,176 < 46,067 \)

Part B:
1. Largest: \( 47,977 \)
2. Largest: \( 14,605 \)
3. Largest: \( 67,054 \)
4. Largest: \( 83,321 \)

Part C:
1. Smallest: \( 62,798 \)
2. Smallest: \( 74,102 \)
3. Smallest: \( 39,533 \)
4. Smallest: \( 28,071 \)

\boxed{
\begin{array}{l}
\text{Part A:} \\
1. < \\
2. = \\
3. = \\
4. > \\
5. > \\
6. < \\
\text{Part B:} \\
1. 47,977 \\
2. 14,605 \\
3. 67,054 \\
4. 83,321 \\
\text{Part C:} \\
1. 62,798 \\
2. 74,102 \\
3. 39,533 \\
4. 28,071 \\
\end{array}
}