What is the value of 0.53 + 0.53?

Introduction / Context:
This question is a simple test of decimal addition. You need to add 0.53 and 0.53 and express the result correctly in decimal form. Even though this looks straightforward, such questions are used to check basic accuracy with decimal place value and carrying over digits when the sum of decimal parts exceeds 9 in any column.

Given Data / Assumptions:

- The two numbers to be added are 0.53 and 0.53. - Both numbers have two decimal places. - We assume standard base ten arithmetic.

Concept / Approach:
When adding decimals, it is important to line up the decimal points and then add column by column, just as with whole numbers. The hundredths digits are added together, then the tenths, and finally the units digits, taking care to carry over if a sum in any column is 10 or more. Because the two numbers are equal, this is equivalent to doubling 0.53, which can also be computed as 2 * 0.53.

Step-by-Step Solution:
Step 1: Write the numbers vertically with decimal points aligned:   0.53 + 0.53 Step 2: Add the hundredths digits: 3 + 3 = 6. Place 6 in the hundredths position. Step 3: Add the tenths digits: 5 + 5 = 10. Write 0 in the tenths position and carry 1 to the units position. Step 4: Add the units digits: 0 + 0 + carried 1 = 1. Place 1 in the units position. Step 5: Write the decimal point directly below the decimal points in the numbers added. Step 6: The result is 1.06.

Verification / Alternative check:
An alternative way is to interpret 0.53 as 53/100. Then 0.53 + 0.53 = 53/100 + 53/100 = (53 + 53) / 100 = 106 / 100. Simplifying, 106 / 100 = 1.06. Both approaches produce the same answer, confirming that 1.06 is correct.

Why Other Options Are Wrong:
The values 1.053 and 1.063 come from incorrect placement of digits or confusion between hundredths and thousandths. The value 1.16 would result from incorrectly adding tenths as 5 + 5 = 11 and writing 1.11 then misplacing the decimal. None of these match the carefully computed sum of 1.06.

Common Pitfalls:
Learners sometimes ignore place value when adding decimals, treating 0.53 as 53 and doubling to get 106, then forgetting to divide by 100 again. Others may not line up decimal points and therefore add mismatched digits. Always align decimal points and remember that 0.53 has five in the tenths place and three in the hundredths place to avoid these errors.

Final Answer:
The value of 0.53 + 0.53 is 1.06, which corresponds to option A.