Question

Find the length x. Round to the nearest tenth.

A: 7.2 m
B: 4.8 m
C: 36°
D: 3.6 m

Answer 1

To convert the given lengths into more practical terms, we use metric prefixes such as kilometers for large numbers and picometers for very small ones, aligning the values with the conditions given.

Step-by-step explanation:

To convert the given lengths into metric prefixes with numerical values greater than one but less than 1000, we apply certain conversions using the metric system.

1. To convert 7.59 × 10⁷ m to a smaller unit, we look for a prefix that equates to 10⁶ since this will give us a value in the hundreds. Therefore, we can express this length as 7590 kilometers (km), where 1 km = 10³ m.
2. The length 0.0074 m is already between 1 and 1000 when expressed in millimeters (mm), as 7.4 mm, where 1 mm = 10⁻³ m.
3. For 8.8 × 10⁻¹¹ m, we can express it as 88 picometers (pm), where 1 pm = 10⁻¹² m.
4. The distance 1.63 × 10¹³ m converts to 16300 kilometers (km), again using the kilometer prefix.

Using these metric conversions, we rewrite lengthy scientific notation into more comprehensible metric prefixed numbers maintaining the values within the range of 1 to 1000.