Question

Nadia is working with whole numbers she says if you add a two- digit number to a two digit number you cannot get a four digit number is she correct explain your answer.

Answer 1

Nadia is correct, since the largest two-digit number is 99, and the sum of two such numbers is 198, which is a three-digit number. Addition of two-digit numbers is governed by understanding place values and the commutative property of addition.

Step-by-step explanation:

Nadia is correct that adding two two-digit numbers cannot yield a four-digit number. The basic principle in working with addition, that applies here, is determining the maximum possible sum by considering the place values involved. Two-digit numbers range from 10 to 99. If we add the largest two-digit numbers together, 99 + 99, we get 198, which is still a three-digit number.

It is important to pay attention to the place values when working with whole numbers, as each digit in a whole number has a place value depending on its position. This helps in correctly performing addition and understanding that no matter the combination of two two-digit numbers, a four-digit sum is impossible.

The commutative property of addition, expressed as A+B = B+A, confirms that order does not affect the sum of whole numbers, and this supports the consistent results of adding whole numbers regardless of their order. Therefore, based on the rules of mathematics, the largest sum of two two-digit numbers cannot exceed three digits.