Numbers upto 1000

One hundred

100 is the smallest 3-digit number.The number name for 100 is one hundred.

Counting in hundreds

Hundreds Written in number name

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100                         One hundred

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200                         Two hundred

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300                         Three hundred              

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400                          Four hundred         

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500                          Five hundred

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600                          Six hundred

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700                          Seven hundred

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800                          Eight hundred

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900                         Nine hundred

Writing numbers beyonds 100

Writing a 3-digit number on an abacus involves using the different columns (rods) to represent hundreds, tens, and units (ones). Here is a step-by-step guide to writing a 3-digit number on a standard abacus:

Components of the Abacus

  1. Columns (Rods): Each column represents a different place value (units, tens, hundreds, etc.).
  2. Beads: Beads are divided by a horizontal bar into two parts: the upper deck (heaven) and the lower deck (earth).
    • Each bead in the upper deck typically represents a value of 5.
    • Each bead in the lower deck represents a value of 1.

Steps to Represent a 3-Digit Number

  1. Identify the Columns:

    • The rightmost column represents units (1s).
    • The next column to the left represents tens (10s).
    • The third column from the right represents hundreds (100s).

  2. Set the Beads:

    • Hundreds Place: Use the third column from the right.
      • Move the appropriate number of beads from the lower deck up to the horizontal bar to represent the hundreds.
      • If necessary, move one bead from the upper deck down to the horizontal bar for 5 hundreds.
    • Tens Place: Use the second column from the right.
      • Move the appropriate number of beads from the lower deck up to the horizontal bar to represent the tens.
      • If necessary, move one bead from the upper deck down to the horizontal bar for 5 tens.
    • Units Place: Use the rightmost column.
      • Move the appropriate number of beads from the lower deck up to the horizontal bar to represent the units.
      • If necessary, move one bead from the upper deck down to the horizontal bar for 5 units.

Example: Representing the Number 358

  1. Hundreds Place (3):

    • Move 3 beads from the lower deck up to the horizontal bar in the hundreds column.

  2. Tens Place (5):

    • Move 1 bead from the upper deck down to the horizontal bar in the tens column.

  3. Units Place (8):

    • Move 1 bead from the upper deck down to the horizontal bar in the units column.
    • Move 3 beads from the lower deck up to the horizontal bar in the units column.

 

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How to Write Number Names

To write the name of a three-digit number, you say the number in each place value, starting from the hundreds.

Example 1: 256

  • 2 in the hundreds place is written as Two hundred.
  • 5 in the tens place is written as fifty.
  • 6 in the ones place is written as six.
  • The number name is Two hundred fifty-six.

Example 2: 403

  • 4 in the hundreds place is written as Four hundred.
  • 0 in the tens place means there are no tens, so you skip it.
  • 3 in the ones place is written as three.
  • The number name is Four hundred three.

Example 3: 780

  • 7 in the hundreds place is written as Seven hundred.
  • 8 in the tens place is written as eighty.
  • 0 in the ones place means there are no ones, so you skip it.
  • The number name is Seven hundred eighty.

Tips for Remembering

  1. Hundreds Place: The first digit tells you how many hundreds there are.
  2. Tens Place: The middle digit tells you how many tens there are.
  3. Ones Place: The last digit tells you how many ones there are.

 

Understanding Numbers from 200 to 1000

  1. What Are Hundreds?

    • When we talk about numbers like 200, 300, or 400, we are talking about hundreds. Each of these numbers has three digits.
    • Example: 200 means 2 groups of 100. If you had 200 marbles, you would have 2 groups of 100 marbles each.

  2. Breaking Down Numbers

    • Numbers like 345 or 678 can be broken down into hundreds, tens, and ones.
    • Example:
      • 345:
        • 3 is in the hundreds place, so we have 3 groups of 100 (which is 300).
        • 4 is in the tens place, so we have 4 groups of 10 (which is 40).
        • 5 is in the ones place, so we have 5 single units (which is 5).
      • When we put them together, we get 300 + 40 + 5 = 345.

  3. Counting by Hundreds

    • Let’s count by hundreds from 200 to 1000:
    • 200, 300, 400, 500, 600, 700, 800, 900, 1000.
    • Each step up means we’re adding another group of 100.

  4. Number Line Example

    • Imagine a number line that starts at 200 and ends at 1000. If we look at 250, we see it’s between 200 and 300, closer to 200.
    • Example:
      • If you’re at 400 on the number line and move forward by 100, you’ll land on 500.

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Understanding the Number 1000

What is 1000?

  • The number 1000 is a big number! It’s the first number with four digits: 1, 0, 0, 0.
  • 1000 means “1 thousand.” This is like having 10 groups of 100.

Breaking Down 1000

  • 1 is in the thousands place, which means we have 1 group of 1000.
  • The three 0s show that there are no hundreds, no tens, and no ones left.

Example:

  • Imagine you have 10 boxes. Each box has 100 marbles.
  • If you put all the marbles together, you would have 1000 marbles because 10 groups of 100 equals 1000.

Counting to 1000

  • Let’s count by hundreds until we reach 1000:
    • 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000.
  • 1000 is the number we get when we add 100 more to 900.

Summary

  • The number 1000 is like having 10 groups of 100.
  • It’s a large number that we can see in many real-life situations, like counting items in big groups or imagining large quantities of things.
 
 

Before , Between and After

1. Before a Number

  • The number that comes just before another number is one less than that number.

    Example:

    • What number comes before 350?
      • Answer: 349 (because 349 is one less than 350).
    • What number comes before 501?
      • Answer: 500 (because 500 is one less than 501).

2. After a Number

  • The number that comes just after another number is one more than that number.

    Example:

    • What number comes after 499?
      • Answer: 500 (because 500 is one more than 499).
    • What number comes after 899?
      • Answer: 900 (because 900 is one more than 899).

3. Between Two Numbers

  • The numbers that come between two numbers are the numbers that you find when you count up from the smaller number to the larger one.

    Example:

    • What number comes between 298 and 300?
      • Answer: 299 (because when you count from 298 to 300, 299 is in the middle).
    • What numbers come between 602 and 605?
      • Answer: 603 and 604 (because when you count from 602 to 605, the sequence is 602, 603, 604, 605).

Using a Number Line

  • A number line can help students visually understand the concept of before, between, and after.
  • Example:
    • Draw a number line with numbers like 498, 499, 500, 501, 502.
    • Show that 499 is before 500, 501 is after 500, and there is no number between 499 and 500, but 500 is between 499 and 501.

Practice Examples

  1. Before:

    • What number is before 750?
      • Answer: 749
    • What number is before 999?
      • Answer: 998

  2. After:

    • What number is after 888?
      • Answer: 889
    • What number is after 450?
      • Answer: 451

  3. Between:

    • What number comes between 645 and 647?
      • Answer: 646
    • What numbers come between 392 and 395?
      • Answer: 393 and 394

 

 Understanding Place Value and Face Value up to 1000

For second graders, understanding **place value** and **face value** is important for working with numbers up to 1000. Here’s a simple way to explain these concepts with examples:

1. Place Value

Place value refers to the value of a digit based on its position in a number. In a number, each digit has a different place value depending on whether it is in the hundreds, tens, or ones place.

– Example:
– Let’s take the number **352**.
– The digit 3 is in the hundreds place, so its place value is **300**.
– The digit  5  is in the tens place, so its place value is **50**.
– The digit  2 is in the ones place, so its place value is **2**.
– In 352, the place value of:
– 3 is 300
– 5 is 50
– 2 is 2

 2. Face Value

Face value is the actual value of the digit itself, regardless of its position in the number. The face value of a digit is the same as the digit itself.

– Example:
– In the number 352:
– The face value of 3 is 3.
– The face value of 5 is 5.
– The face value of 2 is 2.

Explaining with More Examples

– Example 1:
– Number: 476
– Place value of 4 is 400 (because it’s in the hundreds place).
– Place value of 7 is 70 (because it’s in the tens place).
– Place value of 6 is 6(because it’s in the ones place).
– Face value of 4 is 4.
– Face value of 7 is 7.
– Face value of 6 is 6.

– Example 2:
– Number: 809
– Place value of 8 is 800 (because it’s in the hundreds place).
– Place value of 0 is 0(because it’s in the tens place, but it adds no value).
– Place value of 9 is 9 (because it’s in the ones place).
– Face value of 8 is 8.
– Face value of 0 is 0.
– Face value of 9 is 9.

Summary

– Place Value tells us how much the digit is worth depending on where it is in the number.
– Face Value is simply the value of the digit itself, no matter where it is in the number.

 Understanding Expanded Form up to 1000

Expanded form is a way to break down a number to show the value of each digit. This helps students understand what each digit in a number represents. Let’s explore how to write numbers in expanded form with examples.

What is Expanded Form?
– Expanded form is when you write a number by adding the value of each digit.
– For example, the number 253 in expanded form is written as 200 + 50 + 3.

How to Write Numbers in Expanded Form

1. Identify the Place Value:
– First, look at each digit in the number and determine its place value (hundreds, tens, or ones).

2. Break Down the Number:
– Break the number down into each digit’s place value and then add them together.

Examples

– Example 1:
– Number: 345
– The digit 3 is in the hundreds place, so its value is 300.
– The digit 4 is in the tens place, so its value is 40.
– The digit 5 is in the ones place, so its value is 5.
– Expanded Form: 300 + 40 + 5

– Example 2:
– Number: 708
– The digit 7 is in the hundreds place, so its value is 700.
– The digit 0 is in the tens place, so its value is 0 (which doesn’t add anything to the number).
– The digit 8 is in the ones place, so its value is 8.
– Expanded Form: 700 + 0 + 8 (or just 700 + 8)

– Example 3:
– Number: 592
– The digit 5 is in the hundreds place, so its value is 500.
– The digit 9 is in the tens place, so its value is 90.
– The digit 2 is in the ones place, so its value is 2.
– Expanded Form: 500 + 90 + 2

Summary
– Expanded form shows the value of each digit in a number by breaking it down.
– It helps students understand how numbers are built and what each digit represents.

Understanding a Three-Digit Number on an Abacus

An abacus is a great tool to help students visualize and understand numbers, especially when working with three-digit numbers. Here’s how you can show a three-digit number on an abacus:

The Structure of an Abacus

  • Hundreds Rod: Represents the hundreds place.
  • Tens Rod: Represents the tens place.
  • Ones Rod: Represents the ones place.

Each rod has beads that you can move to represent different numbers.

Example: Representing 352 on an Abacus

Let’s break down the number 352 and show how it would look on an abacus:

  1. Hundreds Place (3):

    • Move 3 beads on the Hundreds Rod. This represents 300.

  2. Tens Place (5):

    • Move 5 beads on the Tens Rod. This represents 50.

  3. Ones Place (2):

    • Move 2 beads on the Ones Rod. This represents 2.

So, on the abacus:

  • The Hundreds Rod will have 3 beads.
  • The Tens Rod will have 5 beads.
  • The Ones Rod will have 2 beads.

 

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 Comparing Numbers Up to 1000 

Comparing numbers helps students understand which numbers are larger, smaller, or equal. Here’s how you can explain this concept with examples:

Understanding the Basics

When comparing two numbers, we look at the digits in each place value (hundreds, tens, and ones) starting from the left:

1. Hundreds Place: Compare the digits in the hundreds place first. If one number has a bigger digit in the hundreds place, it is the larger number.
3. Ones Place: If the digits in both the hundreds and tens places are the same, compare the digits in the ones place.

Symbols for Comparison

– Greater than (>): The symbol “>” shows that one number is larger than another. For example, 765 > 543.
– Less than (<): The symbol “<” shows that one number is smaller than another. For example, 432 < 789.
– Equal to (=): The symbol “=” shows that two numbers are the same. For example, 567 = 567.

Examples

1. Example 1: Compare 472 and 389
– Hundreds Place: Compare 4 and 3. Since 4 > 3, 472 > 389.

2. Example 2: Compare 527 and 572
– Hundreds Place: Both have 5, so move to the tens place.
– Tens Place: Compare 2 and 7. Since 2 < 7, 527 < 572.

3. Example 3: Compare 648 and 645
– Hundreds Place:Both have 6, so move to the tens place.
– Tens Place: Both have 4, so move to the ones place.
– Ones Place: Compare 8 and 5. Since 8 > 5, 648 > 645.

Summary

– When comparing numbers up to 1000, start with the hundreds place, then move to the tens place, and finally the ones place.
– Use comparison symbols like >, <, and = to show the relationship between the numbers.

Ordering Numbers Up to 1000 

Ordering numbers means arranging them from smallest to largest (ascending order) or from largest to smallest (descending order).

Understanding Ordering

1. Ascending Order:
– Arranging numbers from the smallest to the largest.
– Example: 345, 567, 789 (smallest to largest).

2. Descending Order:
– Arranging numbers from the largest to the smallest.
– Example: 789, 567, 345 (largest to smallest).

1. Look at the Hundreds Place:

– Start by comparing the digits in the hundreds place. The number with the smallest digit in the hundreds place comes first in ascending order.
– If you are arranging in descending order, the number with the largest digit in the hundreds place comes first.

2. Compare the Tens Place:
– If the digits in the hundreds place are the same, move to the tens place. Compare these digits to decide the order.

3. Compare the Ones Place:
– If the digits in both the hundreds and tens places are the same, compare the digits in the ones place.

Examples

1. Example 1: Ascending Order for 456, 234, 789
– Compare the hundreds place: 2 (234), 4 (456), and 7 (789).
– Arrange from smallest to largest: 234, 456, 789

2. Example 2: Descending Order for 512, 598, 503
– Compare the hundreds place: 5 (512), 5 (598), and 5 (503).
– Since the hundreds place is the same, compare the tens place: 1 (512), 9 (598), and 0 (503).
– Arrange from largest to smallest: *598, 512, 503.

3. Example 3: Ascending Order for 865, 853, 867
– Compare the hundreds place: 8 (865), 8 (853), 8 (867).
– Since the hundreds are the same, compare the tens place: 6 (865), 5 (853), 6 (867).
– Compare the ones place for 865 and 867: 5 (865) and 7 (867).
– Arrange from smallest to largest: 853, 865, 867.

Summary

– Ascending Order: Arrange numbers from smallest to largest.
– Descending Order: Arrange numbers from largest to smallest.
– Compare digits from left to right (hundreds, then tens, then ones) to determine the order.

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