Test: Metric System - Class 5 MCQ

Converting \(84 \text{ m} 67 \text{ cm}\) to metres gives \(84.67 \text{ m}\) and \(32 \text{ m} 82 \text{ cm}\) gives \(32.82 \text{ m}\). The subtraction results in \(84.67 - 32.82 = 51.85 \text{ m}\).

To convert from hectometres to decimetres, you multiply by 1,000 because there are 10 decimetres in a hectometre, making \(5 \text{ hm} = 5 \times 1,000 \text{ dm} = 5,000 \text{ dm}\).

The prefix "kilo" signifies one thousand (1,000). It is used to denote larger units in the metric system, such as a kilogram (kg), which is 1,000 grams.

The standard unit for measuring capacity in the metric system is the litre (L). This unit is widely used for measuring liquids and other substances.

Since 1 hg is equal to 1,000 dg, then \(4 \text{ hg} = 4 \times 1,000 = 4,000 \text{ dg}\).

To convert from larger units to smaller units in the metric system, you multiply by 10 for each step down the metric ladder. This systematic approach makes conversions straightforward and consistent.

Converting each unit to kilograms: \(3 \text{ hg} = 0.3 \text{ kg}\), \(2 \text{ dag} = 0.02 \text{ kg}\), and \(7 \text{ g} = 0.007 \text{ kg}\). Adding these gives \(7 + 0.3 + 0.02 + 0.007 = 7.327 \text{ kg}\).

The prefix "milli" indicates one thousandth (1/1000) of a unit in the metric system. For example, 1 milligram (mg) is one thousandth of a gram.

One gram is equivalent to 0.001 kilograms. This is because there are 1,000 grams in a kilogram, making the conversion straightforward by dividing by 1,000.

Before performing any calculations involving different metric measures, it is essential to convert all measures to the same unit to ensure accuracy in the results.

There are 10 millimetres in a centimetre, so \(3 \text{ cm} = 3 \times 10 = 30 \text{ mm}\).

Converting each unit to kilometres gives \(6 \text{ hm} = 0.6 \text{ km}\), \(3 \text{ dam} = 0.03 \text{ km}\), and \(7 \text{ m} = 0.007 \text{ km}\). Adding these together results in \(14 + 0.6 + 0.03 + 0.007 = 14.637 \text{ km}\).

Adding these values gives \(5.379 + 4.601 + 0.208 = 10.188 \text{ km}\), demonstrating how to effectively handle decimal addition in metric measures.

The total weight can be found by adding the two weights together: \(6.5 \text{ kg} + 2.3 \text{ kg} = 8.8 \text{ kg}\). This illustrates how to combine weights in the metric system.

To convert litres to kilolitres, divide by 1,000. Thus, \(6,214 \div 1,000 = 6.214 \text{ kL}\).

When multiplying metric measures, it is crucial to place the decimal point correctly in the result. This helps maintain the accuracy of the measurement.

There are 1,000 millilitres in one litre, so for 2 litres, it would be \(2 \times 1,000 = 2,000 \text{ mL}\).

The standard unit for measuring length in the metric system is the metre (m). This unit provides a basis for other length measurements and forms the foundation of metric conversions.

First, convert \(98 \text{ kL} 928 \text{ L}\) to kL: \(98 + 0.928 = 98.928 \text{ kL}\). Dividing by 54 gives \(98.928 \div 54 = 1.832 \text{ kL}\), which converts to \(1.832 \times 1,000 = 1,832 \text{ L}\).

There are 1,000 grams in a kilogram, so \(4 \text{ kg} = 4 \times 1,000 = 4,000 \text{ g}\).