Problem: Comparing and Ordering Whole Numbers
#### Part A: Compare whole numbers using >, <, or =
We need to compare the given pairs of numbers and determine whether the first number is greater than (>), less than (<), or equal to (=) the second number.
1.
415,978 ______ 144,173
- Compare the digits from left to right.
- The first number (415,978) has a higher digit in the hundred-thousands place (4) compared to the second number (144,173), which has a 1 in the same place.
- Therefore,
415,978 > 144,173.
2.
123,921 ______ 514,714
- Compare the digits from left to right.
- The first number (123,921) has a lower digit in the hundred-thousands place (1) compared to the second number (514,714), which has a 5 in the same place.
- Therefore,
123,921 < 514,714.
3.
923,476 ______ 22,786
- Compare the digits from left to right.
- The first number (923,476) has more digits (six digits) than the second number (22,786), which has five digits.
- Therefore,
923,476 > 22,786.
4.
962,665 ______ 6,251,458
- Compare the digits from left to right.
- The first number (962,665) has fewer digits (six digits) than the second number (6,251,458), which has seven digits.
- Therefore,
962,665 < 6,251,458.
5.
886,579 ______ 13,034
- Compare the digits from left to right.
- The first number (886,579) has more digits (six digits) than the second number (13,034), which has five digits.
- Therefore,
886,579 > 13,034.
#### Final Answers for Part A:
1.
415,978 > 144,173
2.
123,921 < 514,714
3.
923,476 > 22,786
4.
962,665 < 6,251,458
5.
886,579 > 13,034
---
#### Part B: Order the following from least to greatest
We need to order the given sets of numbers from least to greatest.
##### Set 1:
377,276; 202,758; 552,037; 712,330
1. Compare the numbers by their digits from left to right.
2. Start with the smallest number:
-
202,758 is the smallest because it has the lowest digit in the hundred-thousands place.
3. Next, compare the remaining numbers:
-
377,276 is smaller than
552,037 and
712,330.
4. Then, compare
552,037 and
712,330:
-
552,037 is smaller than
712,330.
5. The ordered list is:
202,758; 377,276; 552,037; 712,330.
##### Set 2:
50,583; 531,602; 712,841; 255,923
1. Compare the numbers by their digits from left to right.
2. Start with the smallest number:
-
50,583 is the smallest because it has the fewest digits (five digits).
3. Next, compare the remaining numbers:
-
255,923 is smaller than
531,602 and
712,841.
4. Then, compare
531,602 and
712,841:
-
531,602 is smaller than
712,841.
5. The ordered list is:
50,583; 255,923; 531,602; 712,841.
#### Final Answers for Part B:
1.
202,758; 377,276; 552,037; 712,330
2.
50,583; 255,923; 531,602; 712,841
---
Final Answer:
\[
\boxed{
\text{Part A: } 1. >, 2. <, 3. >, 4. <, 5. >
\text{Part B: } 1. 202,758, 377,276, 552,037, 712,330; \text{ } 2. 50,583, 255,923, 531,602, 712,841
}
\]
Parent Tip: Review the logic above to help your child master the concept of comparing ordering numbers worksheet 4th grade.
