Understand Place Value Relationships - 4th Grade Math
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What does it mean when a digit moves one place to the right in a whole number?
What does it mean when a digit moves one place to the right in a whole number?
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Its value becomes $\frac{1}{10}$ as great. Each place to the right is worth $\frac{1}{10}$ of the place to its left.
Its value becomes $\frac{1}{10}$ as great. Each place to the right is worth $\frac{1}{10}$ of the place to its left.
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What is the value of the digit $2$ in $2{,}345$?
What is the value of the digit $2$ in $2{,}345$?
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$2000$. The $2$ is in the thousands place: $2 \times 1000 = 2000$.
$2000$. The $2$ is in the thousands place: $2 \times 1000 = 2000$.
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What is the value of the digit $2$ in $3{,}245$?
What is the value of the digit $2$ in $3{,}245$?
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$200$. The $2$ is in the hundreds place: $2 \times 100 = 200$.
$200$. The $2$ is in the hundreds place: $2 \times 100 = 200$.
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What is the value of the digit $2$ in $3{,}425$?
What is the value of the digit $2$ in $3{,}425$?
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$20$. The $2$ is in the tens place: $2 \times 10 = 20$.
$20$. The $2$ is in the tens place: $2 \times 10 = 20$.
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What is the value of the digit $2$ in $3{,}452$?
What is the value of the digit $2$ in $3{,}452$?
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$2$. The $2$ is in the ones place: $2 \times 1 = 2$.
$2$. The $2$ is in the ones place: $2 \times 1 = 2$.
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Find the missing number: $9{,}000 = 900 \times \square$.
Find the missing number: $9{,}000 = 900 \times \square$.
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$10$. To get from $900$ to $9{,}000$, multiply by $10$.
$10$. To get from $900$ to $9{,}000$, multiply by $10$.
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Find the missing number: $560 = 56 \times \square$.
Find the missing number: $560 = 56 \times \square$.
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$10$. To get from $56$ to $560$, multiply by $10$.
$10$. To get from $56$ to $560$, multiply by $10$.
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What number makes this true: $6000 \div 600 = \square$?
What number makes this true: $6000 \div 600 = \square$?
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$10$. The $6$ moves one place right, so divide by $10$.
$10$. The $6$ moves one place right, so divide by $10$.
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What is the value of the digit $1$ in $10{,}000$?
What is the value of the digit $1$ in $10{,}000$?
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$10{,}000$. The $1$ is in the ten thousands place: $1 \times 10{,}000$.
$10{,}000$. The $1$ is in the ten thousands place: $1 \times 10{,}000$.
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Which statement is true: $500$ is $10$ times $50$, or $500$ is $10$ times $5$?
Which statement is true: $500$ is $10$ times $50$, or $500$ is $10$ times $5$?
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$500$ is $10$ times $50$. Check: $50 \times 10 = 500$ (true), but $5 \times 10 = 50$ (false).
$500$ is $10$ times $50$. Check: $50 \times 10 = 500$ (true), but $5 \times 10 = 50$ (false).
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What number is $10$ times the value of the $3$ in $30$?
What number is $10$ times the value of the $3$ in $30$?
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$300$. Moving one place left multiplies by $10$: $30 \times 10 = 300$.
$300$. Moving one place left multiplies by $10$: $30 \times 10 = 300$.
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What number is $\frac{1}{10}$ the value of the $8$ in $800$?
What number is $\frac{1}{10}$ the value of the $8$ in $800$?
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$80$. Moving one place right divides by $10$: $800 \div 10 = 80$.
$80$. Moving one place right divides by $10$: $800 \div 10 = 80$.
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Which is $10$ times greater: the $9$ in $900$ or the $9$ in $90$?
Which is $10$ times greater: the $9$ in $900$ or the $9$ in $90$?
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The $9$ in $900$. The $9$ in $900$ is one place left of the $9$ in $90$.
The $9$ in $900$. The $9$ in $900$ is one place left of the $9$ in $90$.
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Identify the place value of the digit $5$ in $5{,}000$.
Identify the place value of the digit $5$ in $5{,}000$.
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Thousands place. The $5$ represents $5$ thousands in this number.
Thousands place. The $5$ represents $5$ thousands in this number.
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What does it mean when a digit moves one place to the left in a whole number?
What does it mean when a digit moves one place to the left in a whole number?
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Its value becomes $10$ times as great. Each place to the left is worth $10$ times more than the place to its right.
Its value becomes $10$ times as great. Each place to the left is worth $10$ times more than the place to its right.
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What is the value of the digit $7$ in $70$?
What is the value of the digit $7$ in $70$?
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$70$. The $7$ is in the tens place, so it represents $7 \times 10$.
$70$. The $7$ is in the tens place, so it represents $7 \times 10$.
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What is the value of the digit $7$ in $700$?
What is the value of the digit $7$ in $700$?
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$700$. The $7$ is in the hundreds place, so it represents $7 \times 100$.
$700$. The $7$ is in the hundreds place, so it represents $7 \times 100$.
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What number makes this true: $700 \div 70 = \square$?
What number makes this true: $700 \div 70 = \square$?
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$10$. Moving one place right divides by $10$: $700 \div 70 = 10$.
$10$. Moving one place right divides by $10$: $700 \div 70 = 10$.
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Identify the place value of the digit $6$ in $46{,}000$.
Identify the place value of the digit $6$ in $46{,}000$.
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Thousands place. The $6$ is in the fourth position from right, which is thousands.
Thousands place. The $6$ is in the fourth position from right, which is thousands.
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Which is $10$ times greater: the $4$ in $40$ or the $4$ in $4$?
Which is $10$ times greater: the $4$ in $40$ or the $4$ in $4$?
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The $4$ in $40$. The $4$ in $40$ is in the tens place, which is $10$ times the ones place.
The $4$ in $40$. The $4$ in $40$ is in the tens place, which is $10$ times the ones place.
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