Significant Figures And Rounding Quiz Questions And Answers
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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 or contribute to its precision. In this case, the digits 3, 7, 4, and 6 are significant because they are non-zero digits. Zeros at the beginning of a number are not significant, so the two zeros before the 3 are not counted. The zeros at the end of the number are significant because they are between non-zero digits. 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 six significant figures because all the digits in the number, including the trailing zero after the decimal point, are considered significant.
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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. The significant figures in a number are the digits that carry meaning in terms of precision. In this case, the digits 4, 7, and 3 are significant because they provide information about the magnitude of the number. The zeros before the 4 are not significant because they only indicate the decimal place and do not add any additional information. Therefore, the correct answer is 3.
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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 seven significant figures. Significant figures are the digits in a number that carry meaning in terms of precision. In this case, all the non-zero digits (3 and 4) are significant, as well as the zeros between them (000) and the zero at the end after a decimal point. Therefore, there are a total of seven significant figures in the given number.
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5.
Round 37465849 to 3 significant figures:
Correct Answer 37500000
Explanation When rounding a number to 3 significant figures, we start counting from the leftmost non-zero digit. In this case, the leftmost non-zero digit is 3. The next two digits after 3 are 7 and 4. Since 7 is greater than or equal to 5, we round up the 4 to 5. Therefore, the number 37465849 is rounded to 37500000 when rounded to 3 significant figures.
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6.
Round 0.0047314 to 2 significant figures:
Correct Answer 0.0047
Explanation The given number, 0.0047314, has 6 decimal places. To round it to 2 significant figures, we start from the leftmost non-zero digit, which is 4. We keep this digit and the next significant digit, which is 7. Since the next digit, 3, is less than 5, we do not round up. Therefore, the rounded number is 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 that we need to keep the first two non-zero digits and round the rest of the digits. In this case, the first two non-zero digits are "30" and the rest of the digits are "000". Since the next digit after "30" is "0", we round down. Therefore, rounded to 2 significant figures, 299374 is 300000.
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8.
Round 0.99538 to 2 significant figures:
Correct Answer 1.0
Explanation To round 0.99538 to 2 significant figures, we look at the first two non-zero digits and round the number accordingly.
The first two non-zero digits in 0.99538 are 9 and 9, so we keep these digits and round the following digit (5):
Since 5 is greater than or equal to 5, we round up the last digit to get:
0.99538 rounded to 2 significant figures is 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 When rounding to 3 significant figures, we start from the leftmost non-zero digit and count the digits to the right. In this case, the leftmost non-zero digit is 2. We count three digits to the right, which gives us 760. Since the next digit, 8, is greater than or equal to 5, we round up the previous digit, 6, to 7. Therefore, the rounded value is 2760000.
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10.
Round 1.820047 to 3 significant figures:
Correct Answer 1.82
Explanation When rounding a number to 3 significant figures, we start counting from the leftmost non-zero digit. In this case, the leftmost non-zero digit is 1. The next two digits are 8 and 2. Since 8 is greater than or equal to 5, we round up the last digit, which is 2, to the next higher number. Therefore, the rounded number is 1.82.
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