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Given LCM = 264, GCF = 4, and one number a = 30. We need to find the other number b.

Mathematics

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Here's the solution for question 29, continuing from where we left off:

  1. Substitute the given values into the formula.

    We have the formula: a×b=LCM(a,b)×GCF(a,b)a \times b = \text{LCM}(a, b) \times \text{GCF}(a, b).
    Given LCM=264\text{LCM} = 264, GCF=4\text{GCF} = 4, and one number a=30a = 30. We need to find the other number bb.

    30×b=264×430 \times b = 264 \times 4
  2. Calculate the product of LCM and GCF.

    30b=105630b = 1056
  3. Solve for bb by dividing both sides by 30.

    b=105630b = \frac{1056}{30} b=1765b = \frac{176}{5} b=35.2b = 35.2

    The other number is 35.2\boxed{35.2}.

    Here's the solution for question 30:

  4. Break down the number 4,120,450,345 into periods (billions, millions, thousands, ones).

    • Billions: 4
    • Millions: 120
    • Thousands: 450
    • Ones: 345
  5. Write the number in words based on the periods.

    Four billion, one hundred twenty million, four hundred fifty thousand, three hundred forty-five.

  6. Compare with the given options.

    Option c) matches the breakdown.

    The number 4,120,450,345 in words is c) Four billion one hundred twenty million four hundred fifty thousand and three hundred forty five\boxed{\text{Four billion one hundred twenty million four hundred fifty thousand and three hundred forty five}}.

    Here's the solution for question 31:

  7. Break down the number 4,567,891 into periods (millions, thousands, ones).

    • Millions: 4
    • Thousands: 567
    • Ones: 891
  8. Write the number in words based on the periods.

    The number 4,567,891 in words is Four million, five hundred sixty-seven thousand, eight hundred ninety-one\boxed{\text{Four million, five hundred sixty-seven thousand, eight hundred ninety-one}}.

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