QUESTION IMAGE
Question
- convert the following to meters (m):
| before converting | difference in zeros/decimal places/steps | move to left or right? | after converting | m |
|---|---|---|---|---|
| 15.6 km | ||||
| 0.005 mm | ||||
| 1,000,000 μm | ||||
| 2400 mm |
- convert the following to kiloliters (kl):
| before converting | difference in zeros/decimal places/steps | move to left or right? | after converting | kl |
|---|---|---|---|---|
| 2050 cl | ||||
| 5000 ml | ||||
| 1.5 hl | ||||
| 0.003 μl |
Step1: Recall length - volume conversion factors
1 km = 1000 m, 1 m = 1000 mm, 1 Mm = 10⁶ m, 1 m = 10⁶ μm; 1 kL = 1000 L, 1 L = 100 cL, 1 L = 1000 mL, 1 HL= 100 L, 1 L = 10⁹ μL.
Step2: Convert 4 mm to m
Since 1 m = 1000 mm, to convert 4 mm to m, we divide by 1000 (move decimal 3 places left), so 4 mm = 4÷1000 = 0.004 m.
Step3: Convert 15.6 km to m
Since 1 km = 1000 m, to convert 15.6 km to m, we multiply by 1000 (move decimal 3 places right), so 15.6 km=15.6×1000 = 15600 m.
Step4: Convert 0.005 Mm to m
Since 1 Mm = 10⁶ m, to convert 0.005 Mm to m, we multiply by 10⁶ (move decimal 6 places right), so 0.005 Mm = 0.005×10⁶ = 5000 m.
Step5: Convert 1,000,000 μm to m
Since 1 m = 10⁶ μm, to convert 1,000,000 μm to m, we divide by 10⁶ (move decimal 6 places left), so 1,000,000 μm = 1 m.
Step6: Convert 2400 mm to m
Since 1 m = 1000 mm, to convert 2400 mm to m, we divide by 1000 (move decimal 3 places left), so 2400 mm = 2.4 m.
Step7: Convert 1600 L to kL
Since 1 kL = 1000 L, to convert 1600 L to kL, we divide by 1000 (move decimal 3 places left), so 1600 L = 1.6 kL.
Step8: Convert 2050 cL to kL
Since 1 L = 100 cL and 1 kL = 1000 L, first convert cL to L: 2050 cL = 2050÷100 = 20.5 L, then convert L to kL: 20.5 L=20.5÷1000 = 0.0205 kL (move decimal 5 places left in total from cL to kL).
Step9: Convert 5000 mL to kL
Since 1 L = 1000[SSE Completed, Client Connection Error][LLM SSE On Failure]
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
| Before converting | Difference in zeros/decimal places/steps | Move to left or right? | After converting |
|---|---|---|---|
| 15.6 km | 3 | right | 15600 m |
| 0.005 Mm | 6 | right | 5000 m |
| 1,000,000 μm | 6 | left | 1 m |
| 2400 mm | 3 | left | 2.4 m |
| 1600 L | 3 | left | 1.6 kL |
| 2050 cL | 5 | left | 0.0205 kL |
| 5000 mL | 6 | left | 0.005 kL |
| 1.5 HL | 2 | left | 0.15 kL |
| 0.003 μL | 9 | left | 3×10⁻⁹ kL |