Write Multi-Digit Numbers

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Writing multi-digit numbers can be easily understood with a few basic principles and examples. Let’s break it down:

Understanding Place Values

  1. Place Value System: Multi-digit numbers are based on a place value system, where each position in a number has a different value.
    • For example, in the number 345:
      • ‘5’ is in the ones place (5 ones)
      • ‘4’ is in the tens place (4 tens = 40)
      • ‘3’ is in the hundreds place (3 hundreds = 300)

Writing and Reading Multi-Digit Numbers

  1. Writing Numbers: When writing numbers, start from the left with the highest value place.
    • Example: To write ‘four thousand, three hundred and fifty-two’, start with the thousands (‘4’), then hundreds (‘3’), followed by tens (‘5’) and ones (‘2’), which is 4352.
  2. Reading Numbers: When reading multi-digit numbers, start from the left and read each place value.
    • Example: 5672 is read as ‘five thousand, six hundred seventy-two’.

Using Commas

  1. Commas for Clarity: In large numbers, use commas to separate groups of three digits, starting from the right. This makes the number easier to read.
    • Example: 1,234,567 is easier to read than 1234567.

Real-Life Examples

  1. Example 1: Writing ‘seven thousand, one hundred and twenty-three’:
    • Start with thousands (7), then hundreds (1), tens (2), and ones (3), which is 7123.
  2. Example 2: Reading 4,869:
    • Read as ‘four thousand, eight hundred sixty-nine’.
  3. Example 3: Writing ‘fifty-six thousand, nine hundred and eighty-seven’:
    • Start with thousands (56), then hundreds (9), tens (8), and ones (7), which is 56,987.
  4. Example 4: Reading 20,305:
    • Read as ‘twenty thousand, three hundred five’.
  5. Example 5: Writing ‘one million, two hundred thirty-four thousand, five hundred and sixty-seven’:
    • Write it as 1,234,567.
  6. Example 6: Reading 75,321:
    • Read as ‘seventy-five thousand, three hundred twenty-one’.

Tips and Tricks

  • Zero as a Placeholder: In numbers like 405, the zero indicates that there are no tens.
  • Practice with Money: Practice writing numbers by thinking about money. For example, $3,450.67 is ‘three thousand, four hundred fifty dollars and sixty-seven cents’.

By understanding these principles and practicing with examples, writing and reading multi-digit numbers becomes straightforward and intuitive.

What are Place Values?

Millions Hundred Thousands Ten Thousands Thousands Hundreds Tens Units/Ones
1,000,000 100,000 10,000 1,000 100 10 1

In this table:

  • The far left column represents millions. For example, in the number 2,000,000, the ‘2’ is in the Millions place.
  • The second column from the left is Hundred Thousands. In the number 300,000, the ‘3’ is in this place.
  • The third column from the left is Ten Thousands. In 40,000, the ‘4’ is in the Ten Thousands place.
  • The fourth column is Thousands, the fifth is Hundreds, the sixth is Tens, and the seventh is Units.

Place values in numbers help us understand what each digit in a number means. Just like each seat in a classroom has a different spot, each digit in a number has a different place and value.

The Idea of Place Values:

  1. Units Place: This is like the first seat in a row. The digit in the units place tells us how many ones we have. For example, in the number 5, there are 5 ones.
  2. Tens Place: Move one seat back, and you’re in the tens place. This tells us how many groups of ten we have. In the number 23, the 2 is in the tens place, meaning we have 2 tens (which is 20).
  3. Hundreds Place: This is like being in the third seat. Here, we learn how many hundreds we have. In 345, the 3 is in the hundreds place, meaning 3 hundreds (300).

Real-Life Examples:

  • Pencil Packs: Imagine you have packs of pencils. Each pack has 10 pencils. If you have 3 packs, that’s like having 3 in the tens place. You have 30 pencils.
  • Coins: Think of 1 cent coins and 10 cent coins. If you have 5 one-cent coins, that’s 5 in the units place. If you have 4 ten-cent coins, that’s like having 4 in the tens place (40 cents).

Visual Learning:

  • Drawing Places: Draw boxes labeled units, tens, and hundreds. Place objects or numbers in each box to show their value.
  • Building Blocks: Use blocks to build numbers. Each block can represent a unit. Stack them to make tens and hundreds.

 

Identifying Place Values in a Number

Adding to the previous explanation, let’s learn how students can identify place values in a number.

Steps to Identify Place Values:

  1. Write Down the Number: Start by writing the number clearly. For example, 482.
  2. Start from the Right: The last digit on the right is always in the units place. In 482, the ‘2’ is in the units place.
  3. Move Left for Tens: Move one digit to the left, and you are in the tens place. In our number 482, the ‘8’ is in the tens place.
  4. Next Left for Hundreds: Moving one more digit to the left, you reach the hundreds place. The ‘4’ in 482 is in the hundreds place.
  5. Label Each Place: It can be helpful to write ‘units,’ ‘tens,’ and ‘hundreds’ above each digit to remember their place.
  6. Understanding Bigger Numbers: If there are more digits, keep moving left. After hundreds, there are ‘thousands,’ then ‘ten thousands,’ and so on.
Millions Hundred Thousands Ten Thousands Thousands Hundreds Tens Units/Ones
1,000,000 100,000 10,000 1,000 100 10 1

In this table:

  • The far left column represents millions. For example, in the number 2,000,000, the ‘2’ is in the Millions place.
  • The second column from the left is Hundred Thousands. In the number 300,000, the ‘3’ is in this place.
  • The third column from the left is Ten Thousands. In 40,000, the ‘4’ is in the Ten Thousands place.
  • The fourth column is Thousands, the fifth is Hundreds, the sixth is Tens, and the seventh is Units.

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