Datrys 100(1-1/1.01^5)+100/1.01^5

$$100 ( 1 - \frac { 1 } { 1.01 ^ { 5 } } ) + \frac { 100 } { 1.01 ^ { 5 } }$$

Enrhifo

$$100$$

Camau Ateb

Cyfrifo 1.01 i bŵer 5 a chael 1.0510100501.

$$100\left(1-\frac{1}{1.0510100501}\right)+\frac{100}{1.01^{5}}$$

Ehangu \frac{1}{1.0510100501} drwy luosi'r rhifiadur a'r enwadur gyda 10000000000.

$$100\left(1-\frac{10000000000}{10510100501}\right)+\frac{100}{1.01^{5}}$$

Troswch y rhif degol 1 i’r ffracsiwn \frac{10510100501}{10510100501}.

$$100\left(\frac{10510100501}{10510100501}-\frac{10000000000}{10510100501}\right)+\frac{100}{1.01^{5}}$$

Gan fod gan \frac{10510100501}{10510100501} a \frac{10000000000}{10510100501} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$100\times \frac{10510100501-10000000000}{10510100501}+\frac{100}{1.01^{5}}$$

Tynnu 10000000000 o 10510100501 i gael 510100501.

$$100\times \frac{510100501}{10510100501}+\frac{100}{1.01^{5}}$$

Mynegwch 100\times \frac{510100501}{10510100501} fel ffracsiwn unigol.

$$\frac{100\times 510100501}{10510100501}+\frac{100}{1.01^{5}}$$

Lluosi 100 a 510100501 i gael 51010050100.

$$\frac{51010050100}{10510100501}+\frac{100}{1.01^{5}}$$

Cyfrifo 1.01 i bŵer 5 a chael 1.0510100501.

$$\frac{51010050100}{10510100501}+\frac{100}{1.0510100501}$$

Ehangu \frac{100}{1.0510100501} drwy luosi'r rhifiadur a'r enwadur gyda 10000000000.

$$\frac{51010050100}{10510100501}+\frac{1000000000000}{10510100501}$$

Gan fod gan \frac{51010050100}{10510100501} a \frac{1000000000000}{10510100501} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{51010050100+1000000000000}{10510100501}$$

Adio 51010050100 a 1000000000000 i gael 1051010050100.

$$\frac{1051010050100}{10510100501}$$

Rhannu 1051010050100 â 10510100501 i gael 100.

$$100$$

Ffactor

$$2^{2}\times 5^{2}$$