Mathematics
Grade 3
15 min
Place value names up to thousands
Place value names up to thousands
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Introduction & Learning Objectives
Learning Objectives
Identify the place value of any digit in a number up to 9,999.
Correctly name the four place values: ones, tens, hundreds, and thousands.
Determine the value of a digit based on its place in a four-digit number.
Read and write numbers up to the thousands place in standard form.
Understand that a digit in one place represents ten times what it represents in the place to its right.
Break down a four-digit number into its place value parts (e.g., 2,345 is 2 thousands, 3 hundreds, 4 tens, and 5 ones).
If you won 3,542 tickets at the arcade, what does each of those little numbers actually mean? 🎟️ Let's find out!
In this lesson, we will become number detectives and learn the names for each spot in a number up to the thousands place. Knowing these names h...
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Key Concepts & Vocabulary
TermDefinitionExample
DigitA single symbol used to write numbers. The digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.In the number 73, the digits are 7 and 3.
Place ValueThe value a digit has because of its position in a number.In the number 528, the 5 is in the hundreds place, so its place value is hundreds.
Ones PlaceThe position of the digit on the far right of a number. It tells us how many single units we have.In 126, the digit 6 is in the ones place.
Tens PlaceThe position to the left of the ones place. It tells us how many groups of ten we have.In 482, the digit 8 is in the tens place, which means 8 tens or 80.
Hundreds PlaceThe position to the left of the tens place. It tells us how many groups of one hundred we have.In 931, the digit 9 is in the hundreds place, which means 9 hundred...
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Core Formulas
Place Value Order
Thousands, Hundreds, Tens, Ones
When reading a number, the places are named from left to right. When identifying places, it's often easiest to start from the right (Ones) and move left.
Value of a Digit Formula
Value = Digit \times Place
To find the total value of a digit, you multiply the digit by its place value (1, 10, 100, or 1,000). For example, a 7 in the hundreds place has a value of 7 x 100 = 700.
The '10 Times' Rule
Place_{Left} = 10 \times Place_{Right}
Each place value is 10 times greater than the place value to its immediate right. For example, the hundreds place (100) is 10 times greater than the tens place (10).
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Challenging
A 4-digit number has these clues: The thousands digit is 3 times the ones digit. The hundreds digit is 0. The tens digit is the sum of the thousands and ones digits. If the ones digit is 2, what is the number?
A.3,082
B.6,082
C.6,062
D.3,052
Challenging
Maria tried to write the number 8,052 in word form. She wrote 'eight thousand, five hundred two'. What was her mistake?
A.She should have written 'eighty' instead of 'eight'.
B.She confused the thousands place with the hundreds place.
C.She should not have written the word 'two'.
D.She wrote 'five hundred' but the 5 is in the tens place.
Challenging
How many times greater is the value of the 4 in 4,000 than the value of the 4 in 40?
A.10 times
B.1,000 times
C.100 times
D.They are the same.
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