Mathematics
Grade 3
15 min
Place value word problems
Place value word problems
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify the value of a digit in a number up to 1,000.
Read and write numbers in standard, expanded, and word form to solve problems.
Compare two numbers up to 1,000 using the symbols >, <, and =.
Solve one-step and two-step word problems involving place value comparisons.
Use place value understanding to explain the relationship between digits in a number.
Apply place value concepts to solve real-world scenarios.
If you had 542 jellybeans and your friend had 524, who would have more? 🤔 Let's find out how place value helps us know for sure!
In this lesson, we will learn how to use our knowledge of place value to solve tricky word problems. Understanding place value helps us understand what numbers really mean and makes comparing them much eas...
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Key Concepts & Vocabulary
TermDefinitionExample
Place ValueThe value of a digit based on its position or 'place' in a number (like the ones, tens, or hundreds place).In the number 352, the place value of the 5 is the tens place, so its value is 50.
DigitAny of the symbols used to write numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.The number 789 has three digits: 7, 8, and 9.
Standard FormWriting a number using only digits.The standard form of 'two hundred forty-six' is 246.
Expanded FormWriting a number by showing the value of each digit as a sum.The expanded form of 246 is 200 + 40 + 6.
Word FormWriting a number using only words.The word form of 246 is 'two hundred forty-six'.
Comparing NumbersDeciding if a number is greater than (>), less than (<), or equal to (=) another number.450...
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Core Formulas
Expanded Form Rule
For a 3-digit number `abc`: `(a * 100) + (b * 10) + (c * 1)`
Use this to break a number apart to see the value of each digit. For example, 528 is (5 * 100) + (2 * 10) + (8 * 1), which equals 500 + 20 + 8.
Comparison Rule
Start comparing digits from the largest place value (left to right).
To compare 675 and 682, first look at the hundreds place (both are 6). Then, look at the tens place (7 and 8). Since 8 is greater than 7, we know that 682 > 675.
Value of a Digit Rule
Value = Digit * Place's Value
To find the value of a digit, multiply the digit by its place value (1, 10, 100, etc.). The value of the 4 in 491 is 4 * 100, which is 400.
4 more steps in this tutorial
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Challenging
In the number 770, a prize is given based on the value of each digit. How many times greater is the value of the 7 in the hundreds place than the value of the 7 in the tens place?
A.1 time
B.7 times
C.10 times
D.100 times
Challenging
The price of a bicycle is $492. If the store owner accidentally swaps the hundreds digit and the ones digit, what is the difference between the original price and the new price?
A.198
B.200
C.297
D.492
Challenging
After a wizard added 300 magic beans to his pile, he had a total of 852 magic beans. What was the digit in the hundreds place of the number of beans he started with?
A.8
B.3
C.5
D.2
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