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Physics Question 26 – JEE-MAIN 2025

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A person measures mass of 3 different particles as 435.42 g, 226.3 g and 0.125 g. According to the rules for arithmetic operations with significant figures, the addition of the masses of 3 particles will be.

When adding or subtracting numbers, the result should be rounded to the same number of decimal places as the measurement with the fewest decimal places.

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Ninja Strategy•Decimal Place Rule

For addition, the result must have the same number of decimal places as the measurement with the fewest decimal places.

Step 1: Identify Decimal Places of Each Measurement✦ Active

The given masses are:

435.42 g (2 decimal places) 226.3 g (1 decimal place) 0.125 g (3 decimal places)

For addition and subtraction, the result must be rounded to the same number of decimal places as the measurement with the fewest decimal places. In this case, 226.3 g has the fewest decimal places (1 decimal place).

Step 2: Perform the Addition○ Expand

Add the three masses:

435.42 g+226.3 g+0.125 g=661.845 g
Step 3: Round to the Correct Number of Decimal Places○ Expand

The sum 661.845 g must be rounded to 1 decimal place, as determined in Step 1. The digit in the second decimal place is 4, which is less than 5, so we round down.

661.845 g≈661.8 g
💡 Teacher's Secret Hint

Remember to check the digit immediately after the desired rounding position to decide whether to round up or down.

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