數學~將下列各數轉換為括弧內的單位

2007-09-27 9:51 am
1.
``````2`````````````2
5km```````````(cm )

2.
````` 2`````````````2
7m````````````(cm )



上面2次方

下面3次方
3.
````3```````````````3
5m````````````(cm )

4.
```````3``````````````3
90cm```````````(mm )

5.
`````````````3``````````3
91000mm````````(cm )

6.
``````````````3`````````3
5500000cm```````(m )

7.
```````````````````3````````3
3500000000mm``````(m )

回答 (2)

2007-09-27 10:47 am
✔ 最佳答案
請注意單位
長度
a. 1cm = 10mm (1厘米 = 10亳米)

b. 1m = 100cm = 1,000mm = 1x10^(3) mm (1米 = 1,000亳米)

c. 1km = 1,000m = 1x10^(3) m = 1x10^(6) mm (1公里 = 1百萬亳米,1字後面6個零)

面積 = 長度 x 長度 = 長度2次方

d. 1cm^(2) = 10mm x 10mm = 100 mm^(2) (1平方厘米 = 100平方亳米)

e. 1m^(2) = 100cm x 100cm = 10,000 cm^(2) (1平方米 =1萬平方厘米)
1m^(2) = 1,000mm x 1,000mm = 1,000,000 mm^(2) (1平方米 =1百萬平方亳米)

f. 1km^(2) = 1,000m x 1,000m = 1,000,000 cm^(2) (1平方公里 =1百萬平方厘米)

體積 = 長度 x 長度 x 長度 = 長度3次方

g. 1cm^(3) = 10mm x 10mm x 10mm = 1,000 mm^(3) (1立方厘米 = 1,000立方亳米)

h. 1m^(3) = 100cm x 100cm x 100cm = 1,000,000 cm^(3) (1立方米 =1百萬立方厘米)
1m^(3) = 1 x 10^(6) cm^(3)
1m^(3) = 1,000mm x 1,000mm x 1,000mm = 1 x 10^(9) mm^(3) (1字後面9個零)

希望可以幫到你
參考: me
2007-09-27 10:53 am
^2 means 2次方...^3 means 3次方

1. 1km = 100000cm=10^5cm , i.e. 1km^2 = 10^10cm^2, so, 5km^2 = 5x10^10cm^2

2. 1m = 100cm=10^2cm, i.e. 1m^2 = 10^4cm^2, so, 7m^2 = 7 x 10^4cm^2

3. 1m = 100cm=10^2cm, i.e. 1m^3 = 10^6cm^3, so, 5m^3 = 5x 10^6cm^3

4. 1cm = 10mm, i.e. 1cm^3 = 10^3mm^3, so, 90cm^3 = 9x 10^4mm^3

5. 1cm^3 = 10^3mm^3, i.e. 91000mm^3 / 10^3 = 91cm^3

6. 1m^3 = 10^6cm^3, i.e. 5500000cm^3 / 10^6 = 5.5m^3

7. 1m = 1000mm=10^3mm, 1m^3 = 10^9mm^3, i.e.3500000000mm^3 = 3.5m^3


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