Grade 5 Number Work

Interactive step-by-step solver for understanding number work concepts including reading, writing, and place value of large numbers.

Grade 5 Number Work concept
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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 (Indian System)

Write the number 74,52,981 in words.

Step 1: Read the number by placing commas according to the Indian system (starting from the right: ones, tens, hundreds, thousands, ten thousands, lakhs, ten lakhs, crores). The number is 74,52,981.
Step 2: Read the number in each period (groups of digits separated by commas) from left to right.
- The digits before the first comma (from the left) are 74, which are in the Lakhs period. So, "Seventy-four Lakh".
- The digits between the first and second comma are 52, which are in the Thousands period. So, "fifty-two Thousand".
- The digits after the second comma are 981, which are in the Units period. So, "nine hundred eighty-one".
Step 3: Combine the parts, adding the period names: Seventy-four Lakh fifty-two Thousand nine hundred eighty-one.
Step 4: Therefore, the number 74,52,981 in words is Seventy-four Lakh fifty-two Thousand nine hundred eighty-one.
Number: 74,52,981 Lakhs Period: 74 -> Seventy-four Lakh Thousands Period: 52 -> fifty-two Thousand Units Period: 981 -> nine hundred eighty-one In words: Seventy-four Lakh fifty-two Thousand nine hundred eighty-one

Example 2: Writing Number in Expanded Form

Write the number 5,93,045 in expanded form.

Step 1: Identify the place value of each digit in the number 5,93,045.
- 5 is in the Lakhs place (1,00,000)
- 9 is in the Ten Thousands place (10,000)
- 3 is in the Thousands place (1,000)
- 0 is in the Hundreds place (100)
- 4 is in the Tens place (10)
- 5 is in the Ones place (1)
Step 2: Multiply each digit by its place value.
- 5 × 1,00,000 = 5,00,000
- 9 × 10,000 = 90,000
- 3 × 1,000 = 3,000
- 0 × 100 = 0
- 4 × 10 = 40
- 5 × 1 = 5
Step 3: Write the number as the sum of the products from Step 2.
5,93,045 = 5,00,000 + 90,000 + 3,000 + 0 + 40 + 5
Step 4: Therefore, the expanded form of 5,93,045 is 5,00,000 + 90,000 + 3,000 + 40 + 5. (You can omit the term with 0).
Number: 5,93,045 5 × 1,00,000 = 5,00,000 9 × 10,000 = 90,000 3 × 1,000 = 3,000 4 × 10 = 40 5 × 1 = 5 Expanded Form: 5,00,000 + 90,000 + 3,000 + 40 + 5

Example 3: Writing Number from Expanded Form

Write the number for the expanded form: 8,00,000 + 50,000 + 7,000 + 200 + 10 + 6.

Step 1: Identify the place value represented by each term in the expanded form.
- 8,00,000 is 8 Lakhs
- 50,000 is 5 Ten Thousands
- 7,000 is 7 Thousands
- 200 is 2 Hundreds
- 10 is 1 Ten
- 6 is 6 Ones
Step 2: Place the digit corresponding to each place value in its correct position. If a place value is missing in the expanded form, put a 0 in that place.
Lakhs: 8
Ten Thousands: 5
Thousands: 7
Hundreds: 2
Tens: 1
Ones: 6
Step 3: Combine the digits to form the number, using commas according to the Indian system.
The digits are 8, 5, 7, 2, 1, 6.
Arranging them from left to right: 857216.
Placing commas: 8,57,216.
Step 4: Therefore, the number for the expanded form 8,00,000 + 50,000 + 7,000 + 200 + 10 + 6 is 8,57,216.
Expanded Form: 8,00,000 + 50,000 + 7,000 + 200 + 10 + 6 Digits by Place Value: Lakhs: 8, Ten Thousands: 5, Thousands: 7, Hundreds: 2, Tens: 1, Ones: 6 Standard Form: 8,57,216

Practice Mode

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Note: This basic solver can currently handle simple problems like "Write 7452981 in words" or "Expanded form of 593045".