Step-by-Step Learning
Learn about number work through these example problems with detailed step-by-step solutions.
Example 1: Reading and Writing Large Numbers
Write the number for "Five lakh seventy-two thousand, one hundred and fifty-four."
Step 1: Identify the highest place value mentioned: "Five lakh". This means we have a 5 in the lakhs place.
Step 2: Identify the thousands period: "seventy-two thousand". This gives us 72 in the thousands and ten-thousands places.
Step 3: Identify the hundreds, tens, and ones: "one hundred and fifty-four". This gives us 154.
Step 4: Combine the parts: 5,72,154.
Step 5: Therefore, the number is 5,72,154.
Example 2: Expanded Form of a Number
Write the expanded form of the number 9,87,654.
Step 1: Identify the place value of each digit. The number is 9,87,654.
Step 2: Multiply each digit by its corresponding place value:
- 9 is in the lakhs place: $9 \times 1,00,000 = 9,00,000$
- 8 is in the ten-thousands place: $8 \times 10,000 = 80,000$
- 7 is in the thousands place: $7 \times 1,000 = 7,000$
- 6 is in the hundreds place: $6 \times 100 = 600$
- 5 is in the tens place: $5 \times 10 = 50$
- 4 is in the ones place: $4 \times 1 = 4$
Step 3: Add the values together to get the expanded form.
Step 4: The expanded form is: $9,00,000 + 80,000 + 7,000 + 600 + 50 + 4$.
Example 3: Roman Numerals
Write the Roman numeral for the number 39.
Step 1: Break the number 39 into its place values: 30 and 9.
Step 2: Write the Roman numeral for 30. The symbol for 10 is X, so 30 is XXX.
Step 3: Write the Roman numeral for 9. Since 9 is 1 less than 10, we place a I before the X, which is IX.
Step 4: Combine the two parts: XXX and IX.
Step 5: Therefore, the Roman numeral for 39 is XXXIX.
