QUESTION IMAGE
Question
part 5 - directions: - use the extended \metric map\ to make the necessary conversions below. be sure to take into account the difference between the arrows with solid lines versus those with dotted ones.
indicates that there is a difference of three steps/decimal places to get from one prefix to the next.
indicates that there is a difference of only one step/decimal place to get from one prefix to the next.
| starting value | converted value |
|---|---|
| 761.35 μl | ml |
| 0.098 gg | g |
| 0.00032 hm | nm |
| 1.6 mj | j |
| 987,123.54 m | tm |
| 0.004 kg | mg |
| 69.78 nl | dl |
| 5.496 hs | μs |
| 0.000000056 tj | cj |
| 3,838.1 gpa | tpa |
| 9.9 l | nl |
| 849,000 dag | mg |
| 571.78 ns | ts |
Step1: Recall metric - prefix conversion factors
1 ns = 10^(-9) s, 1 μL = 10^(-3) mL, 1 Gg = 10^(9) g, 1 hm = 10^(2) m, 1 nm = 10^(-9) m, 1 MJ = 10^(6) J, 1 Tm = 10^(12) m, 1 kg = 10^(-3) Mg, 1 nL = 10^(-9) L, 1 dL = 10^(-1) L, 1 hs = 10^(1) s, 1 μs = 10^(-6) s, 1 TJ = 10^(12) J, 1 cJ = 10^(-2) J, 1 GPa = 10^(-3) TPa, 1 L = 10^(9) nL, 1 Dag = 10^(1) g, 1 Mg = 10^(6) g, 1 ns = 10^(-12) Ts.
Step2: Convert 500,000,000 ns to s
500000000×10^(-9) s = 0.5 s
Step3: Convert 761.35 μL to mL
761.35×10^(-3) mL = 0.76135 mL
Step4: Convert 0.098 Gg to g
0.098×10^(9) g = 98000000 g
Step5: Convert 0.00032 hm to nm
0.00032×10^(2)×10^(9) nm = 32000000 nm
Step6: Convert 1.6 MJ to J
1.6×10^(6) J = 1600000 J
Step7: Convert 987,123.54 m to Tm
987123.54×10^(-12) Tm = 9.8712354×10^(-7) Tm
Step8: Convert 0.004 kg to Mg
0.004×10^(-3) Mg = 4×10^(-6) Mg
Step9: Convert 69.78 nL to dL
69.78×10^(-9)×10^(1) dL = 6.978×10^(-7) dL
Step10: Convert 5.496 hs to μs
5.496×10^(1)×10^(6) μs = 54960000 μs
Step11: Convert 0.00000056 TJ to cJ
0.00000056×10^(12)×10^(-2) cJ = 5600 cJ
Step12: Convert 3,838.1 GPa to TPa
3838.1×10^(-3) TPa = 3.8381 TPa
Step13: Convert 9.9 L to nL
9.9×10^(9) nL = 9900000000 nL
Step14: Convert 849,000 Dag to Mg
849000×10^(1)×10^(-6) Mg = 8.49 Mg
Step15: Convert 571.78 ns to Ts
571.78×10^(-12) Ts = 5.7178×10^(-10) Ts
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| Starting Value | Converted Value |
|---|---|
| 761.35 μL | 0.76135 mL |
| 0.098 Gg | 98000000 g |
| 0.00032 hm | 32000000 nm |
| 1.6 MJ | 1600000 J |
| 987,123.54 m | 9.8712354×10^(-7) Tm |
| 0.004 kg | 4×10^(-6) Mg |
| 69.78 nL | 6.978×10^(-7) dL |
| 5.496 hs | 54960000 μs |
| 0.00000056 TJ | 5600 cJ |
| 3,838.1 GPa | 3.8381 TPa |
| 9.9 L | 9900000000 nL |
| 849,000 Dag | 8.49 Mg |
| 571.78 ns | 5.7178×10^(-10) Ts |