Place value is the value that each digit in a number holds based on its position in the number. This means that a number can have a different value depending on where the digits are located within the number.
For example, let’s look at the number 547. Each digit in this number has a different place value.
The digit 7 is in the ones place. This means that it represents 7 ones. The digit 4 is in the tens place. This means that it represents 4 groups of ten, or 40. The digit 5 is in the hundreds place. This means that it represents 5 groups of one hundred, or 500.
Therefore, the entire number 547 is composed of 5 hundred, 4 tens, and 7 ones. We can write this as:
547 = 5 x 100 + 4 x 10 + 7 x 1
It’s important for students to understand place value because it helps them better understand the properties of numbers, and it also helps them perform operations such as addition, subtraction, multiplication, and division more easily.
To practice place value with your child, you can give them a number and ask them to identify the value of each digit in the number, or you can have them create a number by choosing digits and placing them in specific places based on their value.
here are some practice problems for place value in 5th- 9th grade mathematics:
- Write the number 6,503 in expanded form.
Answer: 6,000 + 500 + 3 = 6,503
- What is the value of the digit 8 in the number 8,745?
Answer: The value of the digit 8 is 8,000.
- Write the number 2,904 in word form.
Answer: Two thousand nine hundred four.
- What is the value of the digit 3 in the number 623,418?
Answer: The value of the digit 3 is 3,000.
- Write the number 5,600 in standard form.
Answer: 5,600
I hope these practice problems help you understand place value better. If you have any further questions or would like more practice problems, please let me know!
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