Without adding, how do you know the sum of 36.179 and 8.63 will have a 9 in the thousandths place?
36.179
+8.630
9 + 0 = 9
44.809
To determine if the sum of 36.179 and 8.63 will have a 9 in the thousandths place without adding, observe the following steps:
1. Analyze the decimal values:
- The thousandths place is the fourth digit after the decimal point.
- In the number 36.179, the digit in the thousandths place is 9.
- In the number 8.63, the digit in the thousandths place is 3.
2. Consider the maximum value of each digit:
- The maximum value of any digit from 0 to 9 in the thousandths place is 9.
3. Understand the overall concept:
- When adding two decimal numbers, the sum in the thousandths place will have a non-zero digit only if the sum of the digits in the thousandths place exceeds 9.
4. Apply the concept to the given numbers:
- In this case, the sum of the digits in the thousandths place is 9 (9 + 3 = 12). Since 9 is the maximum value for a digit, it will be displayed in the thousandths place of the sum.
Thus, without performing the actual addition, we can conclude that the sum of 36.179 and 8.63 will have a 9 in the thousandths place.
To determine if the sum of 36.179 and 8.63 will have a 9 in the thousandths place without actually adding them, you can analyze the decimal parts of both numbers.
First, examine the decimal parts separately:
The decimal part of 36.179 is 0.179.
The decimal part of 8.63 is 0.63.
Now, add the two decimal parts:
0.179 + 0.63 = 0.809
Next, examine the result, 0.809. Since it has a 9 in the thousandths place (0.809), it confirms that the original sum of 36.179 and 8.63 will also have a 9 in the thousandths place.
Therefore, without actually performing the addition, you can conclude that the sum of 36.179 and 8.63 will have a 9 in the thousandths place based on the decimal parts analysis.