Question 16 of 18 Incorrect Map Sapling Learning Carry out the following convers

Question

Question 16 of 18 Incorrect Map Sapling Learning Carry out the following conversions from one metric unit of length to another. Number 59.1 Mm to kilometers 0.0000591 km Number 7.57 nm to millimeters 0.00000757 mm O Previous 3 Give Up & View Solution Try Again ) Next Exit- Explanation Remember the metric prefixes: Megas 106; kilo#103, deci=101; centi=10-2. milli = 10-3, micro= 10-6. nano=10-9 It is easiest to convert from one derived unit to another by doing the conversion in two steps. First, to convert from the derived units to the base unit, you multiply by the prefix value. Second, to convert the base unit to the new derived unit, you divide by the prefix value.

Explanation / Answer

1.

1000 meters = 103 meters = 1 KM

then, 59.1Mm = 59.1*106 m = (59.1 * 106m * 1 KM) / 103m = 59.1 * 103KM

2.

1 nm = 10-9 m * 103mm / m = 10-6mm

(1m = 103mm)

then, 7.57 nm = (7.57 nm * 10-6mm) / 1nm = 7.57 * 10-6mm

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