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Assertion: The sum of 154.2 + 6.1 + 23 i...

Assertion: The sum of 154.2 + 6.1 + 23 is 183
Reason: The result of addition is reported to the same number of decimal places as that of the term with least number of decimal places.

A

Assertion and reason both are correct statements and reason is correct explanation for assertion.

B

Assertion and reason both are correct statements but reason is not correct explanation for assertion.

C

Assertion is correct statements but reason is wrong statement.

D

Assertion is wrong statement but reason is correct statement.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the assertion and reason provided, we will follow these steps: ### Step 1: Perform the Addition We need to add the numbers 154.2, 6.1, and 23. \[ 154.2 + 6.1 + 23 \] Calculating this step-by-step: 1. **Add 154.2 and 6.1**: \[ 154.2 + 6.1 = 160.3 \] 2. **Now add 23 to the result**: \[ 160.3 + 23 = 183.3 \] ### Step 2: Determine the Number of Decimal Places Next, we need to look at the decimal places of each number involved in the addition: - **154.2** has **1 decimal place**. - **6.1** has **1 decimal place**. - **23** has **0 decimal places**. ### Step 3: Identify the Least Number of Decimal Places The least number of decimal places among the numbers is **0** (from the number 23). According to the rules of significant figures, when adding numbers, the result should be reported to the same number of decimal places as the term with the least number of decimal places. ### Step 4: Round the Result Since the result of our addition is **183.3**, we need to round it to **0 decimal places** (the least number of decimal places): - Rounding **183.3** to **0 decimal places** gives us **183**. ### Conclusion Thus, the assertion that the sum of 154.2 + 6.1 + 23 is **183** is correct. The reason provided is also correct, as it explains that the result of addition is reported to the same number of decimal places as that of the term with the least number of decimal places. ### Final Answer Both the assertion and reason are correct, and the reason is the correct explanation for the assertion. ---
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