without adding, how do you know that the sum of 36.179 and 8.63 will have a 9 in the thousandths place?
By the "just look at it " Theorem.
THANK YOU REINY
To determine if the sum of 36.179 and 8.63 will have a 9 in the thousandths place without actually performing the addition, you can examine the decimal representation of the numbers.
Take note that the thousandths digit in each number is the third digit after the decimal point. In 36.179, the thousandths digit is 1, and in 8.63, the thousandths digit is 0.
Now, consider the possible scenarios for adding the thousandths digits:
- If the sum of 1 and 0 were less than 10, the thousandths digit in the sum would be the sum of these digits, which is 1.
- If the sum of 1 and 0 were equal to 10, this would lead to carrying over. In this case, the thousandths digit in the sum would still be 1.
- If the sum of 1 and 0 were more than 10, carrying over would be involved. This means that the thousandths digit in the sum would be 0.
Given that the thousandths digits of the two numbers (1 and 0) do not add up to more than 10, we can conclude that the sum of 36.179 and 8.63 will have a 9 in the thousandths place.