MULTIPLES AND SUBMULTIPLES Mass kg hg dag g dg cg mg : 10 : 10 : 10 : 10 : 10 : 10 #10 #10 #10 #10 #10 #10 Length km hm dam m dm cm mm : 10 : 10 : 10 : 10 : 10 : 10 #10 #10 #10 #10 #10 #10 Area km2 hm2 dam2 m2 dm2 cm2 mm2 : 100 : 100 : 100 : 100 : 100 : 100 #100 #100 #100 #100 #100 #100 Volume km3 hm3 dam3 m3 dm3 cm3 mm3 : 1 000 : 1 000 : 1 000 : 1 000 : 1 000 : 1 000 #1 000 #1 000 #1 000 #1 000 #1 000 #1 000 Capacity kL hL daL L dL cL mL : 10 : 10 : 10 : 10 : 10 : 10 #10 #10 #10 #10 #10 #10 Multiples 101 = 10 102 = 100 103 = 1 000 104 = 10 000 106 = 1 000 000 tens hundreds thousands tens of thousands millions 2 zeros 3 zeros 4 zeros 6 zeros 1 zero Submultiples 10-1 = 1 10 = 0.1 10-2 = 1 102 = 1 100 = 0.01 10-3 = 1 103 = 1 1 000 = 0.001 10-6 = 1 106 = 1 1 000 000 = 0.00 0001 tenths hundredths thousandths millionths 1 zero 2 zeros 3 zeros 6 zeros CONVERTING UNITS MATHEMATICS, PHYSICS AND CHEMISTRY REVISION 1 L = 1 dm3 1 Convert these units: a) 200 g in kg d) 5 dm2 in mm2 b) 33 cL in cm3 e) 3 L in dm3 c) 500 L in m3 f ) 33 cL in L 2 How many milliseconds are in 47 seconds? A C T I V I T I E S #10 #10 #10 #60 #60 #24 : 24 : 60 : 60 : 10 : 10 : 10 d (day) h (hour) min (minute) s (second) ds (decisecond) cs (centisecond) ms (millisecond) CONVERTING UNITS OF TIME S O LV E D P R O B L E M 2 Write 85 cm2 in m2. S O LV E D P R O B L E M 1 Write 0.5 daL in mL. 1. Identify the units. cm2 " m2 2. To go from the first unit to the second, go towards the multiples. The exponent of 10 will be negative. 3. Count the number of steps going from one unit to the other. This is the exponent of 100. m2 dm2 cm2 4. Write the equivalent amount. 85 cm2 = 85 ? 100-2 m2 = 85 ? 10-4 m2 = 0.0085 m2 : 100 2 steps : 100 1. Identify the units. daL " mL 2. To go from the first unit to the second, go towards the submultiples. The exponent of 10 will be positive. 3. Count the number of steps going from one unit to the other. This is the exponent of 10. daL L dL cL mL 4. Write the equivalent amount. 0.5 daL = 0.5 ? 104 mL = 5 000 mL #10 #10 #10 #10 4 steps 10
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