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Divide 50 by the smallest prime number, 2.

Mathematics

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Answer

2×522 \times 5^2

Ush. 534,000\text{Ush. } 534,000

Step-by-step solution

7 steps

12. Express 50 as a product of its prime factors.
Your work for finding the prime factors of 50 is correct.

  1. Divide 50 by the smallest prime number, 2.

    50÷2=2550 \div 2 = 25

  2. Divide 25 by the next smallest prime number that divides it, which is 5.

    25÷5=525 \div 5 = 5

  3. Divide 5 by 5.

    5÷5=15 \div 5 = 1

  4. Write 50 as the product of these prime factors.

    50=2×5×5=2×5250 = 2 \times 5 \times 5 = 2 \times 5^2 2×52\boxed{2 \times 5^2}

    13. Given that a US dollar cost Ush.3560, find the amount in Uganda shillings one can pay for a TV set which costs US dollars 150.

  5. Identify the exchange rate and the cost in US dollars.

    The exchange rate is 1 US dollar = Ush. 3560.
    The cost of the TV set is US dollars 150.

  6. Multiply the cost in US dollars by the exchange rate to find the amount in Uganda shillings.

    Amount in Ush.=Cost in USD×Exchange rate\text{Amount in Ush.} = \text{Cost in USD} \times \text{Exchange rate} Amount in Ush.=150×3560\text{Amount in Ush.} = 150 \times 3560

  7. Calculate the product.

    150×3560=534000150 \times 3560 = 534000

    The amount in Uganda shillings is Ush. 534,000.

    Ush. 534,000\boxed{\text{Ush. } 534,000}
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