Question 1.SP.6: Write the recommended daily dietary intake of each nutrient ...

Write the recommended daily dietary intake of each nutrient in scientific notation: (a) sodium, 2,400 mg; (b) vitamin B_{12}, 0.000 006 g.

Analysis
Move the decimal point to give a number between 1 and 10. Multiply the number by 10^{x}, where x is the number of places the decimal point was moved. The exponent x is (+) when the decimal point moves to the left and (–) when it moves to the right.

Very large and very small numbers are more conveniently written in scientific notation.

Scientifi c Notation Number Quantity
2 × 10^{13} 20,000,000,000,000 Number of red blood cells
6 × 10^{–6} m 0.000 006 m Diameter of a red blood cell

 

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• Write the coefficient as 2.4 (two significant figures), since 2,400 contains two significant figures.

• Write the coefficient as 6 (one significant figure), since 0.000 006 contains one significant figure.

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