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Round the number 530.403 977 to the stated number of significant figures (s.f.)          (3)a) 2 s.fb) 4 s.fc) 6 s.f

Question

Round the number 530.403977 to the stated number of significant figures (s.f.)

a) 2 s.f.

b) 4 s.f.

c) 6 s.f.

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Solution

a) When rounding to 2 significant figures, we look at the first two digits which are 5 and 3. The third digit is 0, which is less than 5, so we round down. The number 530.403 977 rounded to 2 significant figures is 530.

b) When rounding to 4 significant figures, we look at the first four digits which are 5, 3, 0, and 4. The fifth digit is 0, which is less than 5, so we round down. The number 530.403 977 rounded to 4 significant figures is 530.4.

c) When rounding to 6 significant figures, we look at the first six digits which are 5, 3, 0, 4, 0, and 3. The seventh digit is 9, which is greater than 5, so we round up. The number 530.403 977 rounded to 6 significant figures is 530.404.

This problem has been solved

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