Nyambura walked from home to school every morning and back home via the market every evening. What is the distance does she cover in a week Give your answer in decimetres.

Tunatumia viwango vifuatavyo vya ubadilishaji:
$1 \, \text{m} = 10 \, \text{dm}$
$1 \, \text{cm} = 0.1 \, \text{dm}$
$1 \, \text{hm} = 1000 \, \text{dm}$
$1 \, \text{dam} = 100 \, \text{dm}$

• Kutoka Nyumbani hadi Shuleni: $2 \, \text{m} \, 8 \, \text{dm} \, 5 \, \text{cm}$

  $$2 \, \text{m} = 2 \times 10 \, \text{dm} = 20 \, \text{dm}$$ $$5 \, \text{cm} = 5 \times 0.1 \, \text{dm} = 0.5 \, \text{dm}$$

  Jumla ya umbali kutoka Nyumbani hadi Shuleni = $20 \, \text{dm} + 8 \, \text{dm} + 0.5 \, \text{dm} = 28.5 \, \text{dm}$

• Kutoka Shuleni hadi Sokoni: $13 \, \text{dm}$ (tayari iko katika desimita)

• Kutoka Sokoni hadi Nyumbani: $11 \, \text{hm} \, 9 \, \text{dam}$

  $$11 \, \text{hm} = 11 \times 1000 \, \text{dm} = 11000 \, \text{dm}$$ $$9 \, \text{dam} = 9 \times 100 \, \text{dm} = 900 \, \text{dm}$$

  Jumla ya umbali kutoka Sokoni hadi Nyumbani = $11000 \, \text{dm} + 900 \, \text{dm} = 11900 \, \text{dm}$

Nyambura huenda Nyumbani $\to$ Shuleni asubuhi, na Shuleni $\to$ Sokoni $\to$ Nyumbani jioni.
Kwa hivyo, umbali wa kila siku = (Nyumbani hadi Shuleni) + (Shuleni hadi Sokoni) + (Sokoni hadi Nyumbani)

$$\text{Umbali wa kila siku} = 28.5 \, \text{dm} + 13 \, \text{dm} + 11900 \, \text{dm}$$ $$\text{Umbali wa kila siku} = 11941.5 \, \text{dm}$$

Wiki ina siku 7.

$$\text{Umbali wa wiki} = \text{Umbali wa kila siku} \times 7$$ $$\text{Umbali wa wiki} = 11941.5 \, \text{dm} \times 7$$ $$\text{Umbali wa wiki} = 83590.5 \, \text{dm}$$

Jibu la mwisho ni:

$$83590.5 \, \text{dm}$$