Answer :
Sure, let's match each prefix with its definition based on their numeric multipliers. Here are the common metric prefixes used in measurements:
1. Milli- (m): This prefix represents a thousandth, or `1/1000`.
2. Centi- (c): This prefix represents a hundredth, or `1/100`.
3. Deci- (d): This prefix represents a tenth, or `1/10`.
4. Deka- (da): This prefix represents ten times the base unit, or `10`.
5. Kilo- (k): This prefix represents a thousand times the base unit, or `1000`.
Given these prefixes, let's match them to the definitions provided:
1. 1000 in a meter: 1000 millimeters (mm) in a meter. Each millimeter is `1/1000` of a meter.
2. 100 in a meter: 100 centimeters (cm) in a meter. Each centimeter is `1/100` of a meter.
3. 10 meters: 1 dekameter (dam) is equal to 10 meters.
4. 1000 meters: 1 kilometer (km) is equal to 1000 meters.
Hence, the filled-in definitions are:
- 1000 in a meter -> millimeter (mm)
- 100 in a meter -> centimeter (cm)
- 10 meters -> dekameter (dam)
- 1000 meters -> kilometer (km)
1. Milli- (m): This prefix represents a thousandth, or `1/1000`.
2. Centi- (c): This prefix represents a hundredth, or `1/100`.
3. Deci- (d): This prefix represents a tenth, or `1/10`.
4. Deka- (da): This prefix represents ten times the base unit, or `10`.
5. Kilo- (k): This prefix represents a thousand times the base unit, or `1000`.
Given these prefixes, let's match them to the definitions provided:
1. 1000 in a meter: 1000 millimeters (mm) in a meter. Each millimeter is `1/1000` of a meter.
2. 100 in a meter: 100 centimeters (cm) in a meter. Each centimeter is `1/100` of a meter.
3. 10 meters: 1 dekameter (dam) is equal to 10 meters.
4. 1000 meters: 1 kilometer (km) is equal to 1000 meters.
Hence, the filled-in definitions are:
- 1000 in a meter -> millimeter (mm)
- 100 in a meter -> centimeter (cm)
- 10 meters -> dekameter (dam)
- 1000 meters -> kilometer (km)