Multiply Multi-Digit Whole Numbers - 5th Grade Math
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What is the product $305 \times 4$ using the standard algorithm?
What is the product $305 \times 4$ using the standard algorithm?
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$1220$. Multiply each digit by 4: $5×4=20$, $0×4=0$, $3×4=12$.
$1220$. Multiply each digit by 4: $5×4=20$, $0×4=0$, $3×4=12$.
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What is the product $906 \times 3$ using the standard algorithm?
What is the product $906 \times 3$ using the standard algorithm?
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$2718$. Multiply each digit by 3: $6×3=18$, $0×3=0$, $9×3=27$.
$2718$. Multiply each digit by 3: $6×3=18$, $0×3=0$, $9×3=27$.
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What is the product $237 \times 8$ using the standard algorithm?
What is the product $237 \times 8$ using the standard algorithm?
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$1896$. Multiply each digit by 8, carrying when products exceed 9.
$1896$. Multiply each digit by 8, carrying when products exceed 9.
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What does the carried digit represent in $58 \times 6$ when $6 \times 8 = 48$?
What does the carried digit represent in $58 \times 6$ when $6 \times 8 = 48$?
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It represents $4$ tens to add in the next place value. The 4 from 48 carries to the tens column.
It represents $4$ tens to add in the next place value. The 4 from 48 carries to the tens column.
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What is the product $64 \times 9$ using the standard algorithm?
What is the product $64 \times 9$ using the standard algorithm?
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$576$. $4×9=36$, $6×9=54$, carry 5 to get 576.
$576$. $4×9=36$, $6×9=54$, carry 5 to get 576.
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What is the product $412 \times 5$ using the standard algorithm?
What is the product $412 \times 5$ using the standard algorithm?
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$2060$. $2×5=10$, $1×5=5$, $4×5=20$, giving 2060.
$2060$. $2×5=10$, $1×5=5$, $4×5=20$, giving 2060.
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What is the product $79 \times 12$ using the standard algorithm?
What is the product $79 \times 12$ using the standard algorithm?
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$948$. Add partial products: $79×2=158$ and $79×10=790$.
$948$. Add partial products: $79×2=158$ and $79×10=790$.
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What is the product $23 \times 45$ using the standard algorithm?
What is the product $23 \times 45$ using the standard algorithm?
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$1035$. Add partial products: $23×5=115$ and $23×40=920$.
$1035$. Add partial products: $23×5=115$ and $23×40=920$.
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In $326 \times 47$, what place value does the first partial product (from $7$) represent?
In $326 \times 47$, what place value does the first partial product (from $7$) represent?
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Ones place value (it is $326 \times 7$). The 7 is in the ones place of 47.
Ones place value (it is $326 \times 7$). The 7 is in the ones place of 47.
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In $326 \times 47$, what place value does the second partial product (from $4$) represent?
In $326 \times 47$, what place value does the second partial product (from $4$) represent?
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Tens place value (it is $326 \times 40$). The 4 is in the tens place of 47.
Tens place value (it is $326 \times 40$). The 4 is in the tens place of 47.
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What is the product $46 \times 30$ using the standard algorithm?
What is the product $46 \times 30$ using the standard algorithm?
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$1380$. $46×3=138$, then multiply by 10 for the tens place.
$1380$. $46×3=138$, then multiply by 10 for the tens place.
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What is the product $508 \times 60$ using the standard algorithm?
What is the product $508 \times 60$ using the standard algorithm?
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$30480$. $508×6=3048$, then multiply by 10 for the tens place.
$30480$. $508×6=3048$, then multiply by 10 for the tens place.
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What is the product $123 \times 45$ using the standard algorithm?
What is the product $123 \times 45$ using the standard algorithm?
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$5535$. Add partial products: $123×5=615$ and $123×40=4920$.
$5535$. Add partial products: $123×5=615$ and $123×40=4920$.
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What is the product $208 \times 34$ using the standard algorithm?
What is the product $208 \times 34$ using the standard algorithm?
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$7072$. Add partial products: $208×4=832$ and $208×30=6240$.
$7072$. Add partial products: $208×4=832$ and $208×30=6240$.
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What is the product $407 \times 26$ using the standard algorithm?
What is the product $407 \times 26$ using the standard algorithm?
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$10582$. Add partial products: $407×6=2442$ and $407×20=8140$.
$10582$. Add partial products: $407×6=2442$ and $407×20=8140$.
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When multiplying $63 \times 24$, why is a $0$ placeholder used in the second partial product?
When multiplying $63 \times 24$, why is a $0$ placeholder used in the second partial product?
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Because the second partial product is in the tens place ($\times 20$). The 2 in 24 represents 20, not 2.
Because the second partial product is in the tens place ($\times 20$). The 2 in 24 represents 20, not 2.
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Find and correct the error: In $25 \times 34$, a student shifts the $3$ partial product by $2$ places.
Find and correct the error: In $25 \times 34$, a student shifts the $3$ partial product by $2$ places.
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Shift by $1$ place because $3$ is in the tens place ($30$). 3 in 34 is tens, so shift once, not twice.
Shift by $1$ place because $3$ is in the tens place ($30$). 3 in 34 is tens, so shift once, not twice.
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What is the product $312 \times 28$ using the standard algorithm?
What is the product $312 \times 28$ using the standard algorithm?
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$8736$. Add partial products: $312×8=2496$ and $312×20=6240$.
$8736$. Add partial products: $312×8=2496$ and $312×20=6240$.
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What is the product $48 \times 7$ using the standard algorithm?
What is the product $48 \times 7$ using the standard algorithm?
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$336$. Multiply each digit of 48 by 7, carrying as needed.
$336$. Multiply each digit of 48 by 7, carrying as needed.
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What is the first step in the standard algorithm for $34\times 27$?
What is the first step in the standard algorithm for $34\times 27$?
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Multiply $7$ by each digit of $34$ from right to left. Start with the ones digit of the bottom number.
Multiply $7$ by each digit of $34$ from right to left. Start with the ones digit of the bottom number.
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