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Metric Units and Conversions - Unitec

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8. How much solute is required to make 1 L of 5% glucose? Remember 5% means<br />

5 g/100mL so we need to convert 1L to mL. After the procedure as before we find<br />

that 1 L = 1000 mL <strong>and</strong> the problem can now be re-phrased more simply as:<br />

“How much (what mass/weight of) solute is required to make 1000 mL of solution if<br />

5 g of solute is required for 100 mL?”<br />

EXERCISE 1<br />

Change to Change to Change to Change to Change to<br />

milligrams grams milligrams millilitres Litres<br />

1 4 g 6000 mg 825 mcg 2 L 4000 mL<br />

2 8.7 g 865 mg 750 mcg 30 L 10000 mL<br />

3 0.69 g 70 mg 65 mcg 1.5 L 625 mL<br />

4 0.02 g 5 mg 95 mcg 4.5 L 359 mL<br />

5 0.035 g 7259 mg 10 mcg 1.6 L 95 mL<br />

6 0.006 g 95 mg 5 mcg 2.24 L 60 mL<br />

7 0.655 g 2 mg 200 mcg 0.8 L 5 mL<br />

8 4.28 g 125 mg 30 mcg 0.75 L 2 mL<br />

EXERCISE 2<br />

Change to<br />

grams<br />

Change to<br />

millilitres<br />

Change to<br />

centilitres<br />

Change to<br />

decilitres<br />

1 3 Kg 3 L 85 mL 8.3 L 2 g<br />

2 6.5 Kg 25 cL 6 dL 0.9 L 2 Kg<br />

Change to<br />

milligrams<br />

3 500 mg 600 dL 0.5 L 63 cL 0.43 g<br />

4 2000 mg 3.1 dL 0.2 mL 0.75 cL 0.825 Kg<br />

5 45 mg 0.45 cL 0.09 dL 806 mL 125 mcg<br />

6 100 mcg 0.25 L 1.8 L 0.1 mL 8 mcg<br />

7 24000 mcg 0.075 cL 512 mL 437 cL 0.035 g<br />

8 6000000 mcg 546 cL 0.04 L 6000 mL 10.4 mcg<br />

ANSWERS<br />

EXERCISE 1 EXERCISE 2<br />

mg g mg mL L g mL cL dL mg<br />

1) 4000 6 0.825 2000 4 1) 3000 3000 8.5 83 2000<br />

2) 8700 0.865 0.75 30000 10 2) 6500 250 60 9 2000000<br />

3) 690 0.07 0.065 1500 0.625 3) 0.5 60000 50 6.3 430<br />

4) 20 0.005 0.095 4500 0.359 4) 2 310 0.02 0.075 825000<br />

5) 35 7.259 0.01 1600 0.095 5) 0.045 4.5 0.9 8.06 0.125<br />

6) 6 0.095 0.005 2240 0.06 6) 0.0001 250 180 0.001 0.008<br />

7) 655 0.002 0.2 800 0.005 7) 0.024 0.75 51.2 43.7 35<br />

8) 4280 0.125 0.03 750 0.002 8) 6 5460 4 60 0.0104<br />

<strong>Unitec</strong>: H:\Te Puna Ako Learning Centre\Maths <strong>and</strong> Statistics Resources\updated\<strong>Metric</strong> <strong>Units</strong>.doc

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