An average human stride is 1.44 \text{ m}1.44 m1, point, 44, start text, space, m, end text long. Choose the best approximation
of the length of a human stride. Choose 1 answer: Choose 1 answer: (Choice A) A 1 \cdot 10^0 \text{ m}1⋅10 0 m1, dot, 10, start superscript, 0, end superscript, start text, space, m, end text (Choice B) B 1 \cdot 10^{1}\text{ m}1⋅10 1 m1, dot, 10, start superscript, 1, end superscript, start text, space, m, end text A marathon is 42{,}195 \text{ m}42,195 m42, comma, 195, start text, space, m, end text long. Choose the best approximation of the length of a marathon. Choose 1 answer: Choose 1 answer: (Choice A) A 4 \cdot 10^4\text{ m}4⋅10 4 m4, dot, 10, start superscript, 4, end superscript, start text, space, m, end text (Choice B) B 4 \cdot 10^{5}\text{ m}4⋅10 5 m4, dot, 10, start superscript, 5, end superscript, start text, space, m, end text Approximately how many strides does it take to complete a marathon? Choose 1 answer: Choose 1 answer: (Choice A) A 4\cdot10^34⋅10 3 4, dot, 10, cubed strides (Choice B) B 4\cdot10^44⋅10 4 4, dot, 10, start superscript, 4, end superscript strides (Choice C) C 4\cdot10^54⋅10 5 4, dot, 10, start superscript, 5, end superscript strides
1 answer:
Approximations are used to estimate values, when the actual value is too large or too small or cannot be determined
- The approximation of the length of an average human stride is
- The approximation of the marathon length is
The length is given as:
Length = 1.44 m
Approximate to the nearest unit meters
Length = 1 m
Express as scientific notation
Length = 1 * 10^0 m
Hence, the approximation of the length is
The length is given as:
Length = 42,195 m
Approximate to the nearest ten thousand meters
Length = 40,000 m
Express as scientific notation
Length = 4 * 10^4 m
Hence, the approximation of the marathon length is
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Firstly, we need a diagrammatic representation
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We simply will make use of Pythagoras' theorem which states that the square of the hypotenuse is equal to the sum of the squares of the two other sides
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