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1. In the large international number 472,103,059, which represents a population figure, what is the specific place value of the digit 7?

Identify the number and the digit in question.
The number is 472,103,059. The digit is 7.
Determine the place value of each digit from right to left.
- 9 is in the Ones place.
- 5 is in the Tens place.
- 0 is in the Hundreds place.
- 3 is in the Thousands place.
- 0 is in the Ten Thousands place.
- 1 is in the Hundred Thousands place.
- 2 is in the Millions place.
- 7 is in the Ten Millions place.
- 4 is in the Hundred Millions place.
The digit 7 is in the Ten Millions place.

The correct option is B. Ten millions.

2. A farmer harvested 84,562 kilograms of maize. Round off this total harvest to the nearest thousand to get an approximate figure.
Identify the number to be rounded and the target place value.
The number is 84,562. We need to round to the nearest thousand.
Locate the thousands digit and the digit to its right.
The thousands digit is 4. The digit to its right (the hundreds digit) is 5.
Apply the rounding rule.
If the digit to the right of the target place value is 5 or greater, round up the target digit. Since 5 is 5 or greater, we round up the thousands digit (4) to 5. All digits to the right of the thousands place become 0.
$84,562 \approx 85,000$
The correct option is C. 85,000.

3. A clock in an ancient building uses Roman Numerals. Which of the following representations correctly shows the number 94?
Break down the number 94 into its tens and ones components.
$94 = 90 + 4$ .
Convert each component to Roman numerals.
- For 90: This is $100 - 10$ . In Roman numerals, 100 is $C$ and 10 is $X$ . When a smaller numeral precedes a larger one, it means subtraction. So, 90 is $XC$ .
- For 4: This is $5 - 1$ . In Roman numerals, 5 is $V$ and 1 is $I$ . So, 4 is $IV$ .
Combine the Roman numerals for 90 and 4.
$94 = XCIV$ .
Compare with the given options.
- A. $XCVI = 90 + 6 = 96$
- B. $LXIV = 50 + 10 + 4 = 64$
- C. $XCIV = 90 + 4 = 94$
- D. $CXIV = 100 + 10 + 4 = 114$
The correct option is C. XCIV.

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Step-by-step solution

Identify the number and the digit in question.

Determine the place value of each digit from right to left.

Identify the number to be rounded and the target place value.

Locate the thousands digit and the digit to its right.

Apply the rounding rule.

Break down the number 94 into its tens and ones components.

Convert each component to Roman numerals.

Combine the Roman numerals for 90 and 4.

Compare with the given options.

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