Answer :
Sure, let's break down the problem step-by-step to find the value of 7 in each number and how to construct the smallest 4-digit number using given digits.
1. Value of the Digit '7' in Each Number:
- 2784: In this number, the '7' is in the thousands place. The value of '7' here is 7 1000 = 7000.
- 7582: In this number, the '7' is also in the thousands place. The value of '7' here is 7 1000 = 7000.
- 5487: In this number, the '7' is in the ones place. The value of '7' here is 7 1 = 7.
- 7519: In this number, the '7' is in the thousands place. The value of '7' here is 7 1000 = 7000.
- 3752: In this number, the '7' is in the hundreds place. The value of '7' here is 7 * 100 = 700.
2. Making the Smallest 4-Digit Number Using the Digits 2, 3, 5, and 1:
- To form the smallest 4-digit number, we arrange the digits in ascending order. So, we start with the smallest digit: 1, followed by 2, then 3, and finally 5.
- Arranging them in order: 1, 2, 3, 5.
- Combining them gives us the number: 1235.
So, the step-by-step solution results in these values and the smallest number:
- Values of '7': 7000, 7000, 7, 7000, 700
- Smallest 4-digit number: 1235
1. Value of the Digit '7' in Each Number:
- 2784: In this number, the '7' is in the thousands place. The value of '7' here is 7 1000 = 7000.
- 7582: In this number, the '7' is also in the thousands place. The value of '7' here is 7 1000 = 7000.
- 5487: In this number, the '7' is in the ones place. The value of '7' here is 7 1 = 7.
- 7519: In this number, the '7' is in the thousands place. The value of '7' here is 7 1000 = 7000.
- 3752: In this number, the '7' is in the hundreds place. The value of '7' here is 7 * 100 = 700.
2. Making the Smallest 4-Digit Number Using the Digits 2, 3, 5, and 1:
- To form the smallest 4-digit number, we arrange the digits in ascending order. So, we start with the smallest digit: 1, followed by 2, then 3, and finally 5.
- Arranging them in order: 1, 2, 3, 5.
- Combining them gives us the number: 1235.
So, the step-by-step solution results in these values and the smallest number:
- Values of '7': 7000, 7000, 7, 7000, 700
- Smallest 4-digit number: 1235