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Question
Assertion :A number 2.746 rounded off to three significant figures is 2.75, while the number 2.743 would be 2.74. Reason: In rounding off the uncertain digits, the preceding digit is raised by 1 if the insignificant digit to be dropped is more than 5 and is left unchanged if ; the latter is less than 5.
Assertion :A number 2.746 rounded off to three significant figures is 2.75, while the number 2.743 would be 2.74. Reason: In rounding off the uncertain digits, the preceding digit is raised by 1 if the insignificant digit to be dropped is more than 5 and is left unchanged if ; the latter is less than 5.
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Solution
The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
In rounding off the number, the digit to be dropped is checke and if it is less than 5 then the preceeding digit is not changed and simply the digit is removed.
Ex: 2.743–→2.74
Whereas if the digit is greater than % then after removing the digit, the preceeding digit is increased by 1.
Ex: 2.746–→2.75
So, the assertion and reason both are correct and reason is the correct explanation for assertion.
In rounding off the number, the digit to be dropped is checke and if it is less than 5 then the preceeding digit is not changed and simply the digit is removed.
Ex: 2.743–→2.74
Whereas if the digit is greater than % then after removing the digit, the preceeding digit is increased by 1.
Ex: 2.746–→2.75
So, the assertion and reason both are correct and reason is the correct explanation for assertion.
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