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Assesses the student's understanding of significant figures and their skill in rounding large and small numbers, including decimals.
Questions and Answers
1.
How many significant figures are there in the number 37 460 000?
A.
1
B.
9
C.
5
D.
4
E.
8
Correct Answer
D. 4
Explanation The number 37 460 000 has four significant figures. Significant figures are the digits in a number that carry meaning in terms of its precision. In this case, the digits 3, 7, 4, and 6 are all significant because they contribute to the overall value of the number. The zeros at the end of the number are not significant because they only serve as placeholders and do not affect the precision of the number. Therefore, the number 37 460 000 has four significant figures.
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2.
The number 45.0380 has ______ significant figures
Correct Answer 6, six
Explanation The number 45.0380 has 6 significant figures. Significant figures are the digits in a number that carry meaning in terms of precision. In this case, all the digits 4, 5, 0, 3, 8, and 0 are significant because they are not zero and contribute to the overall precision of the number. Therefore, the number has 6 significant figures.
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3.
How many significant figures are there in the number 0.0000473?
A.
3
B.
7
C.
4
D.
8
E.
1
Correct Answer
A. 3
Explanation The number 0.0000473 has three significant figures. Significant figures are the digits in a number that carry meaning in terms of its precision. In this case, the digits 4, 7, and 3 are significant because they are non-zero and are not leading or trailing zeros. The zeros before the 4 are not significant because they are leading zeros, and the zero after the 3 is not significant because it is a trailing zero. Therefore, the number has three significant figures.
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4.
The number 3.000400 has how many significant numbers?
A.
1
B.
7
C.
5
D.
4
E.
1
Correct Answer
B. 7
Explanation The number 3.000400 has 7 significant figures. Significant figures are the digits that carry meaning in a number, including all non-zero digits and any zeros between them. In this case, the non-zero digits 3 and 4 are significant, as well as the zeros between them. Therefore, there are a total of 7 significant figures in the number.
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5.
Round 37465849 to 3 significant figures:
Correct Answer 37500000
Explanation The number 37465849 is rounded to 3 significant figures by keeping the first three digits from the left and replacing the rest with zeros. In this case, the first three digits are 375, and the rest are replaced with zeros, resulting in the number 37500000.
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6.
Round 0.0047314 to 2 significant figures:
Correct Answer 0.0047
Explanation The given number, 0.0047314, has 5 significant figures. When rounding to 2 significant figures, we look at the digit in the third decimal place, which is 4. Since this digit is less than 5, we do not need to round up. Therefore, the number is rounded down to 0.0047.
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7.
Rounded to 2 significant figures, 299374 is
A.
29
B.
290000
C.
30
D.
3
E.
300000
Correct Answer
E. 300000
Explanation Rounding to 2 significant figures means keeping only the first two digits of a number and adjusting the remaining digits if necessary. In this case, the first two digits of 299374 are 29. However, since the next digit, 9, is greater than 5, we round up the last digit, resulting in 300000.
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8.
Round 0.99538 to 2 significant figures:
Correct Answer 1.0
Explanation When rounding a number to 2 significant figures, we look at the first two digits from the left. In this case, the first two digits are 9 and 9. Since the digit after 9 is 5, which is equal to or greater than 5, we round up the last digit. Therefore, 0.99538 becomes 1.0.
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9.
2760087 rounded to 3 significant figures is
A.
2770000
B.
2760000
C.
276
D.
2800000
E.
280
Correct Answer
B. 2760000
Explanation The number 2760087 rounded to 3 significant figures is 2760000. When rounding to 3 significant figures, we look at the first 3 digits from the left. In this case, the first 3 digits are 276. Since the next digit (0) is less than 5, we do not round up. Therefore, the answer is 2760000.
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10.
Round 1.820047 to 3 significant figures:
Correct Answer 1.82
Explanation The number 1.820047 rounded to 3 significant figures is 1.82. When rounding to 3 significant figures, we look at the first 3 digits starting from the left. In this case, the first 3 digits are 1, 8, and 2. The digit after the third significant figure, which is 0 in this case, is less than 5. Therefore, we do not need to round up the last significant figure, which is 2. Thus, the final rounded number is 1.82.
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11.
3.54 cm x 4 cm would be rounded to ___ sig-fig(s).
A.
1
B.
2
C.
3
D.
4
Correct Answer
A. 1
Explanation The given expression, 3.54 cm x 4 cm, involves multiplication of two numbers with different significant figures. In multiplication, the result should be rounded to the same number of significant figures as the number with the least significant figures. In this case, 4 cm has only 1 significant figure. Therefore, the answer should also have 1 significant figure.
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12.
700.59 L + 3000.458 L would be rounded to ___ decimal place(s).
A.
1
B.
2
C.
3
D.
4
Correct Answer
A. 1
Explanation When adding 700.59 L and 3000.458 L, the result is 3701.048 L. Rounding this number to 1 decimal place would give us 3701.0 L. Therefore, the correct answer is 1 decimal place.
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13.
When multiplying or dividing measurements in calculations, the answer is rounded to the same number of decimal places as the measurement with the fewest number of decimal places.
A.
True
B.
False
Correct Answer
B. False
Explanation with multiplication and division, what matters is SIG FIGS!
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