sam has 55 stamps in his collection. how many more stamps does he need to make a square number
Squares:
2 * 2 = 4
3 * 3 = 9
4 * 4 = 16
5 * 5 = 25
6 * 6 = 36
7 * 7 = ?
8 * 8 = ?
9 * 9 = ?
To determine how many more stamps Sam needs to make a square number, we can start by finding the closest square number that is less than or equal to the number of stamps he currently has. Then, we subtract the number of stamps he has from this square number.
1. Find the closest square number:
- The square root of 55 is approximately 7.42.
- The closest square number less than or equal to 55 is 49 (7^2).
2. Calculate the difference:
- Subtract the number of stamps Sam has from the square number: 49 - 55 = -6.
Therefore, Sam needs 6 more stamps to make a square number.
To determine how many more stamps Sam needs to make a square number, we need to find the nearest square number greater than his current stamp collection size.
1. Start by identifying the square numbers that are closest to Sam's stamp collection size, starting from the smallest square number (1^2 or 1) and increasing the square number until we find a number greater than 55.
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
6^2 = 36
7^2 = 49
8^2 = 64
From the above calculations, we can see that Sam's stamp collection size is between 49 and 64.
2. Since 49 is smaller than 55 and 64 is larger, we can conclude that 64 is the square number immediately greater than 55.
3. To find how many more stamps Sam needs to make a square number, subtract his current stamp collection size from the nearest square number.
64 - 55 = 9
Therefore, Sam needs 9 more stamps to make a square number.