Uppose you are asked to find the area of a rectangle that is 2.1-cm wide by 5.6-cm long. your calculator answer would be 11.76 cm2. now suppose you are asked to enter the answer to two significant figures. (note that if you do not round your answer to two significant figures, your answer will fall outside of the grading tolerance and be graded as incorrect.)

The answer to two significant figures is 12 cm².

Step-by-step explanation:

Consider the provided information.

The dimension of the rectangle is 2.1 cm by 5.6 cm.

The area of the rectangle is 2.1 cm × 5.6 cm = 11.76 cm²

It  is given that we need to find the answer to two significant figures.

The numbers that contribute to the significance of the total number value are significant figures.

All the numbers are significant digit except all leading 0.

Now, consider the number 11.76, the number has 4 significant digits.

But you are asked to enter the answer to two significant figures, so for this you need to round off the number which contains only 2 digit.

As we know rounding digit rounds up by one number if the number follow 6, 7, 8, or 9.

Rounding the number 11.76 to two digit is 12.

Hence, the answer to two significant figures is 12 cm².

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