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Place value word problems
This lesson will show you how to solve six interesting place value word problems. Before you start this lesson, review the place value chart .
Problem #1: A number has 5 tens and 2 more ones than tens. What is the number? Solution 2 more ones than tens is equal to 5 + 2 or 7. Therefore, the number has 5 tens and 7 ones. The number is 57.
Problem #2: A number has 8 ones and 2 fewer tens than ones. What is the number? Solution 2 fewer tens than ones is equal to 8 - 2 = 6. Therefore, the number has 6 tens and 8 ones. The number is 68.
Problem #3: A number has 6 tens and the same number of ones as tens. What is the number? Solution The number has 6 tens and 6 ones. The number is 66.
Problem #4: A 4-digit number has a 6 in the thousands place, a 9 in the ones place and 0s elsewhere. What is the number? Solution The number is 6009
Challenging place value word problems
Problem #5: What 3-digit number has the number 5 as its digit in the tens place and the digit in the hundreds place twice as big as the digit in the ones place? (There may be more than 1 correct answer) Solution First, we need to realize that the number has 3 digits and the digit in the middle is 5. So far the number looks like this: a5b The digit in the hundreds place is a and the digit in the ones place is b. Possible choices for a and b: a = 8 and b = 4 a = 6 and b = 3 a = 4 and b = 2 a = 2 and b =1
The number can be 854, 653, 452, or 251
Problem #6: What 3-digit number am I if the digit in my tens place is five more than the digit in my ones place and the digit in my tens place is twice the digit in my hundreds place?
When the digit in the tens place is five more than the digit in the ones place, we have the following scenario for the ones and the tens place: 94, 83, 72, 61, and 50
When the digit in the tens place is twice the digit in the hundreds place, we have the following scenario for the tens and the hundreds place:
48, 36, 24, and 12
The one that satisfies both scenarios is 36 and 61. Therefore, the number is 361.
What is the place value?
Special Math Topics
Applied math.
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5th Grade Place Value Worksheets
5th grade place value worksheets are an excellent resource for students to learn the concept of place value from an elementary stage. Learning place value is an important skill for children to learns various mathematical skills like counting numbers, addition, subtraction, finding a digit’s place value, etc. Building an early foundation in this skill is vital for later math studies. These 5th grade math worksheets help kids gain an in-depth understanding of the number place values, number expansion, arrangement, and order.
Benefits of Grade 5 Place Value Worksheets
5th grade place value worksheets comprise many problems based on finding place-value of numbers to bolster a child’s math skills. Practicing these concepts enables kids to learn regrouping numbers in sets to find their place value. It is a reliable means to implement practice and learning of decimals and place values. Through these well-curated place value worksheets for grade 5, students gradually acquire the ability to visualize math problems.
Printable PDFs for Place Value Worksheets for Grade 5
- 5th Grade Math Place Value Worksheet
- Fifth Grade Place Value Worksheet
- Place Value Worksheet 5th Grade
- Grade 5 Place Value Math Worksheet
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Grade 5 - Number and Operations in Base Ten
Standard 5.NBT.A.1 - Practice identifying place values of decimal numbers.
Included Skills:
Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
If you notice any problems, please let us know .
Place Value
Place value is the value of a digit based on its position in a number. In our decimal number system, each digit's place value is ten times the place value of the digit to its right. Understanding place value is crucial for understanding how numbers are composed and how to perform operations with them.
Understanding Place Value
To understand place value, we need to look at the positions of the digits in a number. The positions are called ones, tens, hundreds, thousands, and so on, from right to left. For example, in the number 3,682:
- The digit 2 is in the ones place
- The digit 8 is in the tens place
- The digit 6 is in the hundreds place
- The digit 3 is in the thousands place
Place Value Chart
A place value chart is a helpful tool for visualizing the value of each digit in a number. It organizes the digits by their place value to help understand the magnitude of each digit in the number.
Example Problems
Let's look at some example problems to apply our understanding of place value.
What is the value of the digit 5 in the number 7,549?
Answer: The digit 5 is in the hundreds place, so its value is 500.
Write the number 4,327 in expanded form.
Answer: 4,000 + 300 + 20 + 7
Place Value and Operations
Understanding place value is essential for performing addition , subtraction , multiplication , and division with larger numbers . It helps us to correctly align the digits and perform operations on numbers with multiple place values.
Practice Problems
Now that we've covered the basics of place value, it's time to practice with some problems. Here are a few to get started:
- What is the value of the digit 9 in the number 9,876?
- Write the number 6,205 in expanded form.
- Add 3,421 and 2,367.
Remember to pay attention to the place value of each digit when solving these problems!
[Place Value] Related Worksheets and Study Guides:
- Ordering Decimals Mathematics • Fifth Grade
- Estimation Mathematics • Fifth Grade
- Place Value Mathematics • Third Grade
- Rounding Mathematics • Fifth Grade
- Multiplication Mathematics • Fifth Grade
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◂ Math Worksheets and Study Guides Fifth Grade. Place Value
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