Write three decimals that have a sum of 114.056
The correct answer and explanation is:
To create three decimals whose sum is 114.056, consider the following example:
- 45.024
- 32.014
- 37.018
Let’s verify the sum:
- 45.024 + 32.014 = 77.038
- 77.038 + 37.018 = 114.056
Thus, the sum of these three decimals is 114.056.
Explanation
When adding decimals, it is important to align the decimal points properly to ensure accurate addition. This process can be broken down into a few simple steps:
- Arrange the numbers vertically, aligning the decimal points.
For example:45.024 + 32.014 + 37.018 --------- - Add the digits starting from the rightmost decimal place, just like in regular addition. If the sum in any column exceeds 9, carry over the extra value to the next column on the left.
- Carry over values as needed. For example, adding 4 and 8 in the thousandths place gives 12, so write down 2 and carry over 1 to the hundredths column.
- Complete the addition, ensuring the decimal point is placed directly beneath the other decimal points.
This process results in an accurate total of 114.056. The selection of 45.024, 32.014, and 37.018 was chosen in a way that the digits were manageable and the total sum could be easily verified.
Understanding how to add decimals correctly is crucial for many applications, including finance, science, and engineering. It is especially important to avoid rounding errors and ensure precision in calculations.