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1
The length, breadth and thickness of a block are given by l = 12 cm, b = 8 cm, t = 2.45 cm. What is the volume of the block according to the idea of significant figures?
A. 1.764 × 10^2 cm^3
B. 2 × 10^2 cm^3
C. 1.8 × 10^2 cm^3
D. 1.77 × 10^2 cm^3
Answer & Solution
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Explanation
The least precise measurement (b = 8) has one significant figure, so the volume should be given to one significant figure: 2 × 10^2 cm^3.
2
Significant figures in 1.0011000 are:
A. Eight
B. Six
C. Seven
D. Five
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Explanation
All digits shown are significant, including zeros between and the trailing zeros after the decimal, giving eight significant figures.
3
If the volume of a tablet is 1.76 cm³, the volume of 25 such tablets is
A. 44 cm³
B. 44.0 cm³
C. 44.00 cm³
D. 44.000 cm³
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Explanation
1.76×25 = 44.0; keeping significant figures from 1.76 (three sig figs) gives 44.0 cm³.
4
The digit 0.007310 has ____ significant figures.
A. 7
B. 4
C. 6
D. 3
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Explanation
Leading zeros are not significant; the digits 7, 3, 1 and the trailing zero after decimal are significant, giving 4 significant figures.
5
If the sides of a rectangle are 6.01 m and 12 m then the area of the rectangle is
A. 72 m^2
B. 42 m^2
C. 52 m^2
D. 62 m^2
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Explanation
Area = 6.01 × 12 = 72.12 m^2, which rounds to 72 m^2 as given in the options.
6
The number of significant figures in 0.0160 is
A. 3
B. 5
C. 4
D. 2
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Explanation
0.0160 has digits 1,6,0 as significant (leading zeros not significant), so three significant figures.
7
Significant figures in 1.0 × 10^-3 are:
A. Four
B. Five
C. Three
D. Two
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Explanation
1.0 has two significant figures (the '1' and the trailing zero after the decimal), regardless of the power of ten.
8
Significant figures in 0.0010 are:
A. One
B. Two
C. Three
D. Four
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Explanation
Leading zeros are not significant; 0.0010 has two significant figures (the '1' and the trailing zero).
9
The length and width of a rectangular plate are measured to be 15.3 cm and 12.80 cm, respectively. The area of plate is:
A. 195.8
B. Any of these
C. 195.84
D. 195
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Explanation
Multiplying gives 195.84, but using significant-figure rules limited by 15.3 (3 sig figs) the area is rounded to 195.8.
10
With due regard for significant figures, (12.5)2 =
A. 156.
B. 156.2
C. 156.250
D. 156.25
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Explanation
12.5 has three significant figures; squared value 156.25 rounded to three significant figures is 156.