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Find the Digit for Specific Place Values in 703,233
Mathematics
Grade 6
Question Content
Consider the number 703,233. Write the digit for the given place value in the whole number above: ten thousands: ____, hundreds: ____, ones: ____
Correct Answer
ten thousands: 0, hundreds: 2, ones: 3
Detailed Solution Steps
1
Step 1: First, label the place values of each digit in 703,233 from right to left: starting from the right, the places are ones, tens, hundreds, thousands, ten thousands, hundred thousands.
2
Step 2: Identify the ten thousands place: counting from the right, the 5th digit is 0 (digits are 7 (hundred thousands), 0 (ten thousands), 3 (thousands), 2 (hundreds), 3 (tens), 3 (ones)).
3
Step 3: Identify the hundreds place: counting from the right, the 3rd digit is 2.
4
Step 4: Identify the ones place: counting from the right, the 1st digit is 3.
Knowledge Points Involved
1
Whole Number Place Values
Place value refers to the value of a digit based on its position in a number. For whole numbers, positions from right to left are ones, tens, hundreds, thousands, ten thousands, hundred thousands, etc. Each position is 10 times the value of the position to its right. This is used to identify the value or digit corresponding to a specific position in a large number.
2
Digit Identification by Place Value
This is the skill of matching a specific place value term (like hundreds, ten thousands) to the corresponding digit in a multi-digit whole number. It requires correctly mapping the place value labels to the positions of digits in the number.
3
Comma Separation in Large Whole Numbers
In standard notation, commas are used to separate groups of three digits in large whole numbers, starting from the right. These groups represent thousands, millions, billions, etc. For 703,233, the first group from the right is the ones group (233) and the second is the thousands group (703), which helps in quickly identifying higher place values.
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