Question

Must show units and how they cancelli 1.) 175 km to um 3.) 385 nm to dm 5.) 492 um tom 7.) 52 x 103 dm to mm 9.) 321x 1035 mm to km 11.) 456 x 103 m to km 13.) 422 x 103 m to nm 15.) 4.87 x 1030m to pm 17.) 5.26 x 103 m to um 19.) 1.25 x 1035 m to Mm 21.) 4.22 x 103 Tm to nm

Answer 1

Step-by-step explanation:

1.) 175 km to μm

`1 km=10^9 \mu m`

`175 km=175* 10^9\mu m=1.75* 10^(11) \mu m`

3.) 385 nm to dm

`1 nm=10^(-8) dm`

`385 nm=385* 10^(-8) dm=3.85* 10^(-6) dm`

5.) 492 μm to m

1 μm =
`10^(-6) m`

`492 \μm=492* 10^(-6) m=4.92* 10^(-4) m`

7.)
`52* 10^3` dm to mm

1 dm = 100 mm

`52* 10^3 dm=52* 10^3* 100 mm=5.2* 10^(6)dm`

9.)
`321* 10^(35)` mm to km

`1 mm = 10^(-6) km`

`321* 10^(35) mm=321* 10^(35)* 10^(-6) km=3.21* 10^(31) km`

11.)
`456* 10^3` m to km

m = 0.001 km

`456* 10^3m =456* 10^3 m* 0.001 km=456 km`

13.)
`422* 10^3` m to nm

`1 m = 10^(9) nm`

`422* 10^3 m=422* 10^3* 10^(9) nm=4.22* 10^(14) nm`

15.)
`4.87* 10^(30)` m to pm

`1 m = 10^(12) pm`

`4.87* 10^(30) m=4.87* 10^(30)* 10^(12) pm=4.82* 10^(42) pm`

17.)
`5.26* 10^3` m to um

1 m =
`10^(6) \mu m`

`5.26* 10^3 m=5.26* 10^3* 10^6 \mu m=5.26* 10^(9) \mu m`

19.)
`1.25* 10^(35)`m to Mm

1 m =
`10^(-6) Mm`

`1.25* 10^(35) m=1.25* 10^(35)* 10^(-6) Mm=1.25* 10^(-29) Mm`

21.)
`4.22* 10^3` Tm to nm

`1 Tm = 10^(21) nm`

`4.22* 10^3 Tm=4.22* 10^3* 10^(21) nm=4.22* 10^(24) nm`