Order the expressions by choosing >, <, or=””>
22x 52____ 105
25x 22___ 27
25x 52___ 102
The Correct Answer and Explanation is:
Let’s evaluate each of the expressions step by step and determine the correct inequality sign (>, <, or =) for each.
🔹 1. Expression: 22 × 52 ___ 105
First, multiply: 22×52=114422 \times 52 = 1144
Now compare it with 105: 1144>1051144 > 105
✅ Correct inequality:
22 × 52 > 105
🔹 2. Expression: 25 × 22 ___ 27
Multiply: 25×22=55025 \times 22 = 550
Compare it with 27: 550>27550 > 27
✅ Correct inequality:
25 × 22 > 27
🔹 3. Expression: 25 × 52 ___ 102
Multiply: 25×52=130025 \times 52 = 1300
Compare it with 102: 1300>1021300 > 102
✅ Correct inequality:
25 × 52 > 102
✅ Final Answers:
- 22 × 52 > 105
- 25 × 22 > 27
- 25 × 52 > 102
📘 Explanation (Approx. 300 words):
To solve problems like these, you need to apply basic multiplication and comparison skills.
In each of the given expressions, one side contains a multiplication operation, and the other side is a single number. The task is to determine whether the result of the multiplication is greater than (>), less than (<), or equal to (=) the number on the right side.
In the first expression, we calculate 22×52=114422 \times 52 = 1144. This is far greater than 105, so we choose the greater than (>) symbol.
In the second expression, we calculate 25×22=55025 \times 22 = 550. Clearly, 550 is much larger than 27, so again we use the greater than (>) symbol.
In the third expression, we compute 25×52=130025 \times 52 = 1300, which is also significantly larger than 102. Therefore, we again use the greater than (>) symbol.
This exercise reinforces two important math skills:
- Multiplication of whole numbers — Understanding how to break large numbers into manageable parts or use mental math to estimate.
- Comparing numbers — Once multiplication is done, comparing the product to a given number requires number sense.
Mastering these concepts helps students develop confidence in both computational fluency and logical reasoning. Practicing such problems improves speed, accuracy, and problem-solving skills for higher-level math.