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The following are problems involving multiplication and estimation. Please provide step-by-step solutions for each.

Mathematics

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Step-by-step solution

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Here are the solutions to the problems:

Cashier Deposit Problem:
A cashier deposits sh 9700 in one day. How much money does he deposit in five days?

  1. Identify the daily deposit and the number of days.

    Daily deposit = sh 9700
    Number of days = 5

  2. Multiply the daily deposit by the number of days.

    9700×5=485009700 \times 5 = 48500

    The cashier deposits sh 48500\boxed{\text{sh } 48500} in five days.

    Question 10:
    Estimate the products of each of the following by using friendly factors.

    a) 7199×687199 \times 68

  3. Round 7199 to the nearest hundred.

    7199≈72007199 \approx 7200
  4. Round 68 to the nearest ten.

    68≈7068 \approx 70
  5. Multiply the rounded numbers.

    7200×70=5040007200 \times 70 = 504000

    The estimated product is 504000\boxed{504000}.

    b) 9192×269192 \times 26

  6. Round 9192 to the nearest hundred.

    9192≈92009192 \approx 9200
  7. Round 26 to the nearest ten.

    26≈3026 \approx 30
  8. Multiply the rounded numbers.

    9200×30=2760009200 \times 30 = 276000

    The estimated product is 276000\boxed{276000}.

    c) 8876×358876 \times 35

  9. Round 8876 to the nearest hundred.

    8876≈89008876 \approx 8900
  10. Round 35 to the nearest ten.

    35≈4035 \approx 40
  11. Multiply the rounded numbers.

    8900×40=3560008900 \times 40 = 356000

    The estimated product is 356000\boxed{356000}.

    Question 1:
    Find the missing number in each of the following.

    a) 16,32,64,128,‾16, 32, 64, 128, \underline{\hspace{1cm}}

  12. Identify the pattern by finding the ratio between consecutive terms.

    32÷16=232 \div 16 = 2 64÷32=264 \div 32 = 2 128÷64=2128 \div 64 = 2

    The common ratio is 2, meaning each term is multiplied by 2 to get the next term.

  13. Multiply the last given term by the common ratio to find the missing number.

    128×2=256128 \times 2 = 256

    The missing number is 256\boxed{256}.

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