Podcast
Questions and Answers
What concept is crucial for understanding the value of each digit in a number?
What concept is crucial for understanding the value of each digit in a number?
- Place value (correct)
- Face value
- Skip counting
- Ordinal numbers
Which of the following correctly represents the expanded form of the number 275?
Which of the following correctly represents the expanded form of the number 275?
- $200 + 70 + 5$ (correct)
- $20 + 70 + 5$
- $200 + 7 + 5$
- $2 + 7 + 5$
What is the face value of the digit 8 in the number 583?
What is the face value of the digit 8 in the number 583?
- 800
- 8 (correct)
- 80
- 3
Which of the following statements is always true regarding the comparison of two numbers?
Which of the following statements is always true regarding the comparison of two numbers?
How does skip counting by 5s relate to understanding multiplication?
How does skip counting by 5s relate to understanding multiplication?
In the base-ten system, what does it mean to 'regroup' when adding numbers?
In the base-ten system, what does it mean to 'regroup' when adding numbers?
Which of the following lists of numbers is in ascending order?
Which of the following lists of numbers is in ascending order?
What makes a number an 'even' number?
What makes a number an 'even' number?
If you are skip counting by 10s, what would be the next three numbers after 450?
If you are skip counting by 10s, what would be the next three numbers after 450?
What does 'ordinal numbers' tell us about a set of objects?
What does 'ordinal numbers' tell us about a set of objects?
In the number 639, what is the place value of the digit 3?
In the number 639, what is the place value of the digit 3?
Which of the following is the expanded form of 407?
Which of the following is the expanded form of 407?
What is the face value of 9 in the number 295?
What is the face value of 9 in the number 295?
What is the 2nd ordinal number?
What is the 2nd ordinal number?
If a store offers a cricket bat for $228, another for $168 and a third for $280, which is the least amount?
If a store offers a cricket bat for $228, another for $168 and a third for $280, which is the least amount?
When putting the following numbers: 241, 5, 23, 950 in descending order, which number would come first?
When putting the following numbers: 241, 5, 23, 950 in descending order, which number would come first?
Which of the following is the largest even number?
Which of the following is the largest even number?
What number comes immediately before 623?
What number comes immediately before 623?
Which statement comparing 101 and 110 is correct?
Which statement comparing 101 and 110 is correct?
I am a number made of 3 digits. My hundreds digit is 2, my tens digit is 4 and my ones are 6. What number and number name am I?
I am a number made of 3 digits. My hundreds digit is 2, my tens digit is 4 and my ones are 6. What number and number name am I?
What number makes pairs and is therefore called an even number?
What number makes pairs and is therefore called an even number?
I am drawing beads on the spikes of an abacus. What order are the spikes arranged?
I am drawing beads on the spikes of an abacus. What order are the spikes arranged?
If today is the first of the month, what ordinal number is next week, on the same day?
If today is the first of the month, what ordinal number is next week, on the same day?
3 kids are lining up for their vaccine. Ben is third in the line, what ordinal number are the other children?
3 kids are lining up for their vaccine. Ben is third in the line, what ordinal number are the other children?
If tailoring 6 tens and 4 tens of buttons gets you one houndred, how many button ones are we talking about?
If tailoring 6 tens and 4 tens of buttons gets you one houndred, how many button ones are we talking about?
Which action can assist teachers in better explaining the formation of 3-digit numbers?
Which action can assist teachers in better explaining the formation of 3-digit numbers?
When writing the smallest 3-digit number with a zero where do you place the zero?
When writing the smallest 3-digit number with a zero where do you place the zero?
According to the provided text, what numbers is Thirtheenth formed from?
According to the provided text, what numbers is Thirtheenth formed from?
Which number that can be skip counted by 2's would come after after number 6?
Which number that can be skip counted by 2's would come after after number 6?
What is 5th number in the following numbers 8, 6, 4, 2, 0, ...?
What is 5th number in the following numbers 8, 6, 4, 2, 0, ...?
Which of the following is a correct definition of Skip Counting?
Which of the following is a correct definition of Skip Counting?
What two facts do you need to determine if a number is odd or even?
What two facts do you need to determine if a number is odd or even?
I am the greatest 1-digit number, what digits do I use?
I am the greatest 1-digit number, what digits do I use?
I am arranging numbers from smallest to largest, what is the correct name and way to write it:
I am arranging numbers from smallest to largest, what is the correct name and way to write it:
I am not merely read by the digits used in it, but I am knowing what?
I am not merely read by the digits used in it, but I am knowing what?
During a cricket match, the batsman got out on 99, what's the 3-digit number run next number be?
During a cricket match, the batsman got out on 99, what's the 3-digit number run next number be?
Following the pattern, what is missing numbers on the following table: 101, _, 103, 104, _, 106, _?
Following the pattern, what is missing numbers on the following table: 101, _, 103, 104, _, 106, _?
According to Ishaan's situation, what concept helped Ishaan to decide decide the best price offer for the bat?
According to Ishaan's situation, what concept helped Ishaan to decide decide the best price offer for the bat?
Flashcards
Place Value
Place Value
The value of a digit based on its position in a number.
Face Value
Face Value
The digit itself, regardless of its position in a number.
Expanded Form
Expanded Form
A number written as the sum of the place values of its digits.
Skip Counting
Skip Counting
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Even Numbers
Even Numbers
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Odd Numbers
Odd Numbers
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Ordinal Numbers
Ordinal Numbers
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Ascending Order
Ascending Order
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Descending Order
Descending Order
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Three-Digit Numbers
Three-Digit Numbers
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Predecessor
Predecessor
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Successor
Successor
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Study Notes
Place Value and 3-Digit Numbers
- This lesson focuses on forming, reading, and writing numbers up to 1000
- Place value concepts, comparing 3-digit numbers, and ordering them are also taught.
- Skip counting, ordinal numbers, and even/odd numbers rounds out this lesson
- Applying number concepts to daily life scenarios is a key goal
Warm-up: Review of Prior Knowledge
- Reading and writing numbers up to 100 is critical knowledge for this lesson
- Understanding place value of digits
- Comparing and ordering 2-digit numbers should be mastered
Place Value
- Each digit in a number occupies a place or position and that position decides its value
- This value is called the digit's place value
- The face value of a digit is the digit itself without regard for its position.
- All numbers utilize the digits 0-9 in their construction
Understanding 1-Digit Numbers
- A single-digit number occupies only the ones place.
- 7, for example, is in the ones place and thus its place value is 7.
- The face value of 7 is 7.
Understanding 2-Digit Numbers
- Numbers with two digits introduce the new place called the tens place
- 46, is composed of 4 in the tens place and 6 in the ones place
- The place value of 4 in 46 is 4 tens, or 40
- The place value of 6 in 46 is 6 ones, or 6.
- Expanded form: 46 = 4 tens + 6 ones = 40 + 6
- Standard form: 46
Building 3-Digit Numbers (100)
- 9 ones + 1 one = 10 ones = 1 ten
- 9 tens + 1 ten = 10 tens = 1 hundred
- The number 100 is written as "1 hundred"
- 9 is the greatest 1-digit number
- 10 is the smallest 2-digit number
Understanding 3-Digit Numbers
- New place called hundreds place in introduced
- 100 is written with a 1 in the hundreds place, 0 in the tens place, and 0 in the ones place.
- Place value of 1 = 1 hundred = 100
- Place value of right-most 0 = 0 ones = 0
- Place value of middle 0 = 0 tens = 0
Representing 100 on an Abacus and Number Line
- On a spike abacus there are spikes for the ones, the tens, and the hundreds
- Moving right to left, the spikes represent ones, tens, and hundreds
- On a number line, 100 follows 99
Numbers from 100 to 200
- The quantity "10 ones" is equal to "1 ten."
- When counting icons, 10 tens make up 100 icons
- The word "hundred" derives from the Old Norse "hundrath" meaning 120
Counting Beyond 100
- Beyond 100, numbers are are built on the hundreds place
- 101 is one hundred and one
- 162 is one hundred sixty-two
- etc.
Place Value, Face Value, and Expanded Form of 3-Digit Numbers
- Place value tells the value of a digit by its location in the number.
- Face value is the digit itself
- In the number 268: 8 is at the ones place so its place value is 8 ones = 8, 6 is at the tens place so its place value is 6 tens = 60, and 2 is at the hundreds place so its place value is 2 hundreds = 200
- A digit can have different place values (3 has place values of 3 and 300 in the number 323)
- Expanded form is the sum of the place values of its digits.
Expanded Form
- Writing numbers as a sum of the place values of its digits = Expanded Form
- Writing numbers using the face value of each digit with digits occupying correct place = short/standard form
Before, Between, and After
- The predecessor of a number is the number that is 1 less than it
- The successor of a number is the number that is 1 more than it
- A number between two given numbers falls in the middle
Comparing 3-Digit Numbers
- Numbers later a number sequence are larger than numbers earlier to it
- 3-digit numbers are always greater than 2-digit numbers (e.g., 534 > 98).
- To compare the hundreds place, look if a 3-digit number's hundreds digits are equivalent, then consider the tens.
- To compare the tens place, look if a 3-digit number's hundreds and tens digits are equivalent, then consider the ones.
Ascending and Descending Orders
- Ascending order means ordering from smallest to largest
- Descending order means ordering from largest to smallest
- Example: 168 < 250 < 525 < 900 represents the ascending order a set of numbers.
Forming Greatest and Smallest 3-Digit Numbers
- To form the greatest number from a set, arrange the given digits in descending order
- To form the smallest number from a set, arrange the given digits in ascending order.
- "0" is not placed in the highest place when constructing 3-digit numbers, but it can be placed in the second-highest place
Skip Counting
- Skip counting is counting with intervals between the numbers and is useful for arithmetic
- Examples
- Skip counting by 2s: 2, 4, 6, 8...
- Skip counting by 5s: 5, 10, 15, 20...
- Skip counting by 10s: 10, 20, 30, 40...
Even and Odd Numbers
- Even numbers can be arranged in pairs
- Odd numbers cannot be arranged in pairs
- Even numbers have 0, 2, 4, 6, or 8 in the ones place.
- Odd numbers have 1, 3, 5, 7, or 9 in the ones place.
- Even or odd numbers occur in a sequence such that odd numbers follow even and vice versa
Ordinal Numbers
- Those designating the position of something in a series are called ordinal numbers.
- Examples
- 1st, 2nd, 3rd, 4th
- Eleventh
- Twelfth
- Twentieth
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