The image you provided is an advertisement for a set of
10 worksheets designed for
Grade 3 students to practice comparing and ordering numbers up to 100,000. The focus is on developing skills in understanding place value, using comparison symbols (>, <, =), and arranging numbers in ascending or descending order.
Problem Analysis:
The task involves solving problems related to comparing and ordering numbers up to 100,000. While the specific problem isn't detailed in the image, I will provide a general explanation of how to approach such problems, along with examples.
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Solution Explanation:
#### 1.
Understanding Place Value
- Numbers up to 100,000 can have up to five digits. Each digit has a place value:
- Units (ones)
- Tens
- Hundreds
- Thousands
- Ten thousands
Example: In the number
45,678:
- 4 is in the ten-thousands place.
- 5 is in the thousands place.
- 6 is in the hundreds place.
- 7 is in the tens place.
- 8 is in the units place.
#### 2.
Comparing Numbers
- To compare two numbers, start by looking at the digit in the highest place value (leftmost digit). If one number has more digits than the other, the longer number is larger.
- If the digits in the highest place value are the same, move to the next place value to the right and continue comparing.
Example 1: Compare
34,567 and
34,562.
- Both numbers have the same digits in the ten-thousands, thousands, hundreds, and tens places.
- In the units place, 7 > 2.
- Therefore,
34,567 > 34,562.
Example 2: Compare
56,789 and
45,678.
- The ten-thousands digit of 56,789 is 5, and for 45,678 it is 4.
- Since 5 > 4,
56,789 > 45,678.
#### 3.
Using Comparison Symbols
- Use the following symbols:
-
> (greater than)
-
< (less than)
-
= (equal to)
Example: Compare
78,901 and
78,901.
- Both numbers are identical.
- Therefore,
78,901 = 78,901.
#### 4.
Ordering Numbers
- To order numbers, follow these steps:
1. Compare the numbers as described above.
2. Arrange them in ascending order (smallest to largest) or descending order (largest to smallest).
Example: Order the numbers
34,567,
34,562, and
34,570 in ascending order.
- Compare 34,562 and 34,567: 34,562 < 34,567.
- Compare 34,567 and 34,570: 34,567 < 34,570.
- Ascending order:
34,562, 34,567, 34,570.
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General Steps for Solving Problems:
1. Identify the place values of each digit in the numbers.
2. Compare the numbers starting from the highest place value.
3. Use the appropriate comparison symbol (
>, <, =) based on the results.
4. For ordering, arrange the numbers in either ascending or descending order after comparing them.
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Final Answer:
The solution to the problem depends on the specific numbers given in the worksheet. However, the general approach outlined above can be applied to any problem involving comparing and ordering numbers up to 100,000. If you provide a specific problem, I can solve it step-by-step!
Boxed Final Answer:
\[
\boxed{\text{Use the steps above to compare and order numbers up to 100,000.}}
\]
Parent Tip: Review the logic above to help your child master the concept of ordering numbers thousands worksheet.
