Metric Conversions: Master SI Unit Transformations

1. 1 kilometre (km) equals:

10 m

100 m

1000 m

10,000 m

concept: kilo- means 1000. the prefix kilo- is 10³, so 1 km = 1000 m.

Explanation

concept: kilo- means 1000. the prefix kilo- is 10³, so 1 km = 1000 m.

2. 1 metre (m) equals:

10 cm

100 cm

1000 cm

1 cm

concept: centi- means 1/100. centi- is 10⁻², so 1 cm = 0.01 m. that means 1 m = 100 cm.

Explanation

concept: centi- means 1/100. centi- is 10⁻², so 1 cm = 0.01 m. that means 1 m = 100 cm.

3. 1 centimetre (cm) equals:

0.1 m

0.001 m

0.01 m

10 m

concept: centi conversion. “centi-” is 10⁻², so centimetres are hundredths of a metre. this gives 1 cm = 0.01 m.

Explanation

concept: centi conversion. “centi-” is 10⁻², so centimetres are hundredths of a metre. this gives 1 cm = 0.01 m.

4. 1 millimetre (mm) equals 0.001 m.

True

False

One millimeter is a metric unit of length that is defined as one-thousandth of a meter. This relationship is fundamental in the metric system, where units are based on powers of ten. Therefore, when converting millimeters to meters, dividing by 1,000 (or multiplying by 0.001) accurately reflects this conversion. Thus, the statement that 1 millimeter equals 0.001 meters is true.

Explanation

One millimeter is a metric unit of length that is defined as one-thousandth of a meter. This relationship is fundamental in the metric system, where units are based on powers of ten. Therefore, when converting millimeters to meters, dividing by 1,000 (or multiplying by 0.001) accurately reflects this conversion. Thus, the statement that 1 millimeter equals 0.001 meters is true.

5. Convert 3500 m to km:

0.35 km

35 km

3.5 km

350 km

concept: metres to kilometres. divide by 1000 because 1 km = 1000 m. so 3500 m ÷ 1000 = 3.5 km.

Explanation

concept: metres to kilometres. divide by 1000 because 1 km = 1000 m. so 3500 m ÷ 1000 = 3.5 km.

6. Convert 2.4 m to cm:

24 cm

2400 cm

240 cm

0.24 cm

concept: metres to centimetres. multiply by 100 because 1 m = 100 cm. so 2.4 m = 240 cm.

Explanation

concept: metres to centimetres. multiply by 100 because 1 m = 100 cm. so 2.4 m = 240 cm.

7. 0.75 kg equals 750 g.

True

False

To convert kilograms to grams, you multiply the number of kilograms by 1,000, since there are 1,000 grams in a kilogram. Therefore, 0.75 kg can be calculated as 0.75 x 1,000, which equals 750 grams. This conversion confirms that 0.75 kg is indeed equal to 750 g, making the statement true.

Explanation

To convert kilograms to grams, you multiply the number of kilograms by 1,000, since there are 1,000 grams in a kilogram. Therefore, 0.75 kg can be calculated as 0.75 x 1,000, which equals 750 grams. This conversion confirms that 0.75 kg is indeed equal to 750 g, making the statement true.

8. Convert 1200 g to kg:

0.12 kg

1.2 kg

12 kg

120 kg

concept: grams to kilograms. divide by 1000 because 1000 g = 1 kg. 1200 g ÷ 1000 = 1.2 kg.

Explanation

concept: grams to kilograms. divide by 1000 because 1000 g = 1 kg. 1200 g ÷ 1000 = 1.2 kg.

9. The prefix “milli-” corresponds to 10⁻____.

The prefix "milli-" is a metric prefix that denotes a factor of one-thousandth, or 0.001. In exponential terms, this is represented as 10⁻³, indicating that it is one part in a thousand. Thus, when you see "milli," such as in millimeter or milligram, it signifies that there are 1,000 of those units in a single unit. Therefore, the exponent corresponding to the prefix "milli-" is -3.

Explanation

The prefix "milli-" is a metric prefix that denotes a factor of one-thousandth, or 0.001. In exponential terms, this is represented as 10⁻³, indicating that it is one part in a thousand. Thus, when you see "milli," such as in millimeter or milligram, it signifies that there are 1,000 of those units in a single unit. Therefore, the exponent corresponding to the prefix "milli-" is -3.

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10. Which is the largest length?

5 mm

5 cm

5 m

5 km

concept: comparing metric units. kilometres are the largest among these because they are thousands of metres. always compare by converting to the same base unit.

Explanation

concept: comparing metric units. kilometres are the largest among these because they are thousands of metres. always compare by converting to the same base unit.

11. 90 cm is the same as 0.9 m.

True

False

To convert centimeters to meters, divide the number of centimeters by 100, since there are 100 centimeters in a meter. Therefore, 90 cm divided by 100 equals 0.9 m. This conversion confirms that 90 cm is indeed equivalent to 0.9 m, making the statement true.

Explanation

To convert centimeters to meters, divide the number of centimeters by 100, since there are 100 centimeters in a meter. Therefore, 90 cm divided by 100 equals 0.9 m. This conversion confirms that 90 cm is indeed equivalent to 0.9 m, making the statement true.

12. Convert 45 mm to cm:

0.45 cm

4.5 cm

45 cm

450 cm

concept: mm ↔ cm. 10 mm = 1 cm, so divide by 10. 45 mm ÷ 10 = 4.5 cm.

Explanation

concept: mm ↔ cm. 10 mm = 1 cm, so divide by 10. 45 mm ÷ 10 = 4.5 cm.

13. Convert 0.003 m to mm:

0.3 mm

3 mm

30 mm

concept: metres to millimetres. 1 m = 1000 mm, so multiply by 1000. 0.003 × 1000 = 3 mm.

Explanation

concept: metres to millimetres. 1 m = 1000 mm, so multiply by 1000. 0.003 × 1000 = 3 mm.

14. 1.5 km is equal to 1500 m.

True

False

1.5 kilometers is a metric measurement where 1 kilometer equals 1000 meters. To convert kilometers to meters, you multiply the number of kilometers by 1000. Therefore, 1.5 km multiplied by 1000 results in 1500 meters. This conversion confirms that 1.5 km is indeed equal to 1500 m, making the statement true.

Explanation

1.5 kilometers is a metric measurement where 1 kilometer equals 1000 meters. To convert kilometers to meters, you multiply the number of kilometers by 1000. Therefore, 1.5 km multiplied by 1000 results in 1500 meters. This conversion confirms that 1.5 km is indeed equal to 1500 m, making the statement true.

15. Convert 0.06 kg to g:

0.6 g

6 g

60 g

600 g

concept: kg ↔ g conversion. multiply by 1000 when converting kg to g. 0.06 × 1000 = 60 g.

Explanation

concept: kg ↔ g conversion. multiply by 1000 when converting kg to g. 0.06 × 1000 = 60 g.

16. 1 m equals ______ mm.

One meter is defined as equal to 1000 millimeters because the metric system is based on powers of ten. In this system, the meter is the base unit of length, and a millimeter is one-thousandth of a meter. Therefore, to convert meters to millimeters, you multiply the number of meters by 1000. This makes it easy to convert between different units of measurement within the metric system.

Explanation

One meter is defined as equal to 1000 millimeters because the metric system is based on powers of ten. In this system, the meter is the base unit of length, and a millimeter is one-thousandth of a meter. Therefore, to convert meters to millimeters, you multiply the number of meters by 1000. This makes it easy to convert between different units of measurement within the metric system.

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17. Convert 2 km to m:

200 m

2000 cm

2000 m

20,000 m

concept: km ↔ m. multiply by 1000 to convert kilometres to metres. 2 × 1000 = 2000 m.

Explanation

concept: km ↔ m. multiply by 1000 to convert kilometres to metres. 2 × 1000 = 2000 m.

18. 500 mg is equal to 0.5 g.

True

False

500 mg is equal to 0.5 g because the metric system is based on powers of ten. Since 1 gram (g) is equal to 1000 milligrams (mg), dividing 500 mg by 1000 gives you 0.5 g. This conversion illustrates the relationship between milligrams and grams, where milligrams are a smaller unit of mass. Thus, 500 mg accurately converts to 0.5 g, confirming the statement is true.

Explanation

500 mg is equal to 0.5 g because the metric system is based on powers of ten. Since 1 gram (g) is equal to 1000 milligrams (mg), dividing 500 mg by 1000 gives you 0.5 g. This conversion illustrates the relationship between milligrams and grams, where milligrams are a smaller unit of mass. Thus, 500 mg accurately converts to 0.5 g, confirming the statement is true.

19. Convert 0.25 m to mm:

25 mm

2500 mm

250 mm

2.5 mm

concept: m ↔ mm. multiply by 1000 because 1 m = 1000 mm. 0.25 × 1000 = 250 mm.

Explanation

concept: m ↔ mm. multiply by 1000 because 1 m = 1000 mm. 0.25 × 1000 = 250 mm.

20. Converting by prefixes is easiest when you write values in powers of ten.

True

False

Converting by prefixes is easiest when values are expressed in powers of ten because the metric system is based on multiples of ten. This allows for straightforward conversions between units, such as from kilometers to meters, by simply moving the decimal point. Understanding the relationships between different metric prefixes (like kilo-, centi-, and milli-) becomes intuitive when using powers of ten, simplifying calculations and reducing the likelihood of errors. Thus, expressing values in this way streamlines the conversion process.

Explanation

Converting by prefixes is easiest when values are expressed in powers of ten because the metric system is based on multiples of ten. This allows for straightforward conversions between units, such as from kilometers to meters, by simply moving the decimal point. Understanding the relationships between different metric prefixes (like kilo-, centi-, and milli-) becomes intuitive when using powers of ten, simplifying calculations and reducing the likelihood of errors. Thus, expressing values in this way streamlines the conversion process.