What is the largest sum you can get when you add two 2-digit numbers? Explain.
How about:
99 + 99 = ?
Explain why two zeros are needed in this standard form 1,050.
1,050 has zero hundreds and zero ones.
To find the largest possible sum when adding two 2-digit numbers, we need to determine the largest possible digits for each place value.
In a 2-digit number, the tens digit can range from 1 to 9, while the units digit can range from 0 to 9. To get the largest possible sum, we want to maximize both the tens and units digits.
For the highest possible tens digit, we choose 9. This is because 9 is the largest digit available and will yield the highest value in the tens place.
For the highest possible units digit, we also choose 9. Again, 9 is the largest digit available and will yield the highest value in the units place.
So, the largest sum we can get when adding two 2-digit numbers is obtained by adding the number with a tens digit of 99 to another number with a tens digit of 99:
99
+
99
_____
198
Therefore, the largest sum is 198.