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A farmer harvested 84,562 kilograms of maize. Round off this total harvest to the nearest thousand to get an approximate figure. 3. A clock in an ancient building uses Roman Numerals. Which of the following representations correctly shows the number 94?

Mathematics

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2. A farmer harvested 84,562 kilograms of maize. Round off this total harvest to the nearest thousand to get an approximate figure.

  1. Identify the thousands digit in the number 84,562.

    The thousands digit is 4.

  2. Look at the digit immediately to the right of the thousands digit.

    The digit to the right is 5 (in the hundreds place).

  3. Apply the rounding rule.

    If the digit to the right is 5 or greater, round up the thousands digit. Since 5 is equal to 5, we round up the 4 to 5. All digits to the right of the thousands place become 0.
    So, 84,562 rounded to the nearest thousand is 85,000.

    The final answer is C. 85,000\boxed{\text{C. 85,000}}.

    3. A clock in an ancient building uses Roman Numerals. Which of the following representations correctly shows the number 94?

  4. Break down the number 94 into its components.

    94 can be expressed as 90+490 + 4.

  5. Convert 90 to Roman numerals.

    The Roman numeral for 100 is CC. The Roman numeral for 10 is XX.
    To represent 90, we place XX before CC (subtraction), so 90=XC90 = XC.

  6. Convert 4 to Roman numerals.

    The Roman numeral for 5 is VV. The Roman numeral for 1 is II.
    To represent 4, we place II before VV (subtraction), so 4=IV4 = IV.

  7. Combine the Roman numerals for 90 and 4.

    94=XC+IV=XCIV94 = XC + IV = XCIV
  8. Compare this with the given options.

    • A. XCVI=90+6=96XCVI = 90 + 6 = 96
    • B. LXIV=50+10+4=64LXIV = 50 + 10 + 4 = 64
    • C. XCIV=90+4=94XCIV = 90 + 4 = 94
    • D. CXIV=100+10+4=114CXIV = 100 + 10 + 4 = 114

    The correct representation for 94 is XCIVXCIV.

    The final answer is C. XCIV\boxed{\text{C. XCIV}}.

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