Problem Description:
The task is to compare numbers and select the ones that satisfy the given conditions. The conditions are:
1.
Greater than 265
2.
Less than 420
3.
Greater than 398
4.
Less than 709
5.
Greater than 556
We need to evaluate each number in the provided sets against these conditions.
---
Solution:
####
Step 1: Greater than 265
- Numbers to check:
195, 605, 226, 890
- Condition: A number is greater than 265 if it is strictly larger than 265.
- Evaluation:
-
195: Not greater than 265 (195 < 265)
-
605: Greater than 265 (605 > 265)
-
226: Not greater than 265 (226 < 265)
-
890: Greater than 265 (890 > 265)
-
Selected numbers:
605, 890
####
Step 2: Less than 420
- Numbers to check:
398, 56, 789, 402
- Condition: A number is less than 420 if it is strictly smaller than 420.
- Evaluation:
-
398: Less than 420 (398 < 420)
-
56: Less than 420 (56 < 420)
-
789: Not less than 420 (789 > 420)
-
402: Less than 420 (402 < 420)
-
Selected numbers:
398, 56, 402
####
Step 3: Greater than 398
- Numbers to check:
624, 209, 78, 399
- Condition: A number is greater than 398 if it is strictly larger than 398.
- Evaluation:
-
624: Greater than 398 (624 > 398)
-
209: Not greater than 398 (209 < 398)
-
78: Not greater than 398 (78 < 398)
-
399: Greater than 398 (399 > 398)
-
Selected numbers:
624, 399
####
Step 4: Less than 709
- Numbers to check:
790, 659, 907, 209
- Condition: A number is less than 709 if it is strictly smaller than 709.
- Evaluation:
-
790: Not less than 709 (790 > 709)
-
659: Less than 709 (659 < 709)
-
907: Not less than 709 (907 > 709)
-
209: Less than 709 (209 < 709)
-
Selected numbers:
659, 209
####
Step 5: Greater than 556
- Numbers to check:
506, 550, 565, 655
- Condition: A number is greater than 556 if it is strictly larger than 556.
- Evaluation:
-
506: Not greater than 556 (506 < 556)
-
550: Not greater than 556 (550 < 556)
-
565: Greater than 556 (565 > 556)
-
655: Greater than 556 (655 > 556)
-
Selected numbers:
565, 655
---
Final Answer:
-
Greater than 265:
605, 890
-
Less than 420:
398, 56, 402
-
Greater than 398:
624, 399
-
Less than 709:
659, 209
-
Greater than 556:
565, 655
Boxed Answer:
\[
\boxed{
\begin{aligned}
&\text{Greater than 265: } 605, 890 \\
&\text{Less than 420: } 398, 56, 402 \\
&\text{Greater than 398: } 624, 399 \\
&\text{Less than 709: } 659, 209 \\
&\text{Greater than 556: } 565, 655
\end{aligned}
}
\]
Parent Tip: Review the logic above to help your child master the concept of ordering numbers worksheet 3rd grade.