Multiply 4-digit and 1-digit numbers worksheet with problems and answer lines.
Worksheet for multiplying 4-digit and 1-digit numbers, featuring math problems and a space for the student's name.
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Show Answer Key & Explanations
Step-by-step solution for: Multiply 4-Digit and 1-Digit Numbers: Vertical Multiplication ...
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Show Answer Key & Explanations
Step-by-step solution for: Multiply 4-Digit and 1-Digit Numbers: Vertical Multiplication ...
The task is to multiply 4-digit numbers by 1-digit numbers. Let's solve each problem step by step.
- Multiply each digit of 5389 by 3:
- \( 9 \times 3 = 27 \) (write 7, carry 2)
- \( 8 \times 3 = 24 \), add the carry 2: \( 24 + 2 = 26 \) (write 6, carry 2)
- \( 3 \times 3 = 9 \), add the carry 2: \( 9 + 2 = 11 \) (write 1, carry 1)
- \( 5 \times 3 = 15 \), add the carry 1: \( 15 + 1 = 16 \) (write 16)
So, \( 5389 \times 3 = 16167 \).
- Multiply each digit of 2495 by 4:
- \( 5 \times 4 = 20 \) (write 0, carry 2)
- \( 9 \times 4 = 36 \), add the carry 2: \( 36 + 2 = 38 \) (write 8, carry 3)
- \( 4 \times 4 = 16 \), add the carry 3: \( 16 + 3 = 19 \) (write 9, carry 1)
- \( 2 \times 4 = 8 \), add the carry 1: \( 8 + 1 = 9 \)
So, \( 2495 \times 4 = 9980 \).
- Multiply each digit of 3389 by 5:
- \( 9 \times 5 = 45 \) (write 5, carry 4)
- \( 8 \times 5 = 40 \), add the carry 4: \( 40 + 4 = 44 \) (write 4, carry 4)
- \( 3 \times 5 = 15 \), add the carry 4: \( 15 + 4 = 19 \) (write 9, carry 1)
- \( 3 \times 5 = 15 \), add the carry 1: \( 15 + 1 = 16 \)
So, \( 3389 \times 5 = 16945 \).
- Multiply each digit of 2767 by 8:
- \( 7 \times 8 = 56 \) (write 6, carry 5)
- \( 6 \times 8 = 48 \), add the carry 5: \( 48 + 5 = 53 \) (write 3, carry 5)
- \( 7 \times 8 = 56 \), add the carry 5: \( 56 + 5 = 61 \) (write 1, carry 6)
- \( 2 \times 8 = 16 \), add the carry 6: \( 16 + 6 = 22 \)
So, \( 2767 \times 8 = 22136 \).
- Multiply each digit of 4290 by 7:
- \( 0 \times 7 = 0 \)
- \( 9 \times 7 = 63 \) (write 3, carry 6)
- \( 2 \times 7 = 14 \), add the carry 6: \( 14 + 6 = 20 \) (write 0, carry 2)
- \( 4 \times 7 = 28 \), add the carry 2: \( 28 + 2 = 30 \)
So, \( 4290 \times 7 = 29930 \).
- Multiply each digit of 9620 by 4:
- \( 0 \times 4 = 0 \)
- \( 2 \times 4 = 8 \)
- \( 6 \times 4 = 24 \) (write 4, carry 2)
- \( 9 \times 4 = 36 \), add the carry 2: \( 36 + 2 = 38 \)
So, \( 9620 \times 4 = 38480 \).
- Multiply each digit of 6903 by 3:
- \( 3 \times 3 = 9 \)
- \( 0 \times 3 = 0 \)
- \( 9 \times 3 = 27 \) (write 7, carry 2)
- \( 6 \times 3 = 18 \), add the carry 2: \( 18 + 2 = 20 \)
So, \( 6903 \times 3 = 20709 \).
- Multiply each digit of 6907 by 6:
- \( 7 \times 6 = 42 \) (write 2, carry 4)
- \( 0 \times 6 = 0 \), add the carry 4: \( 0 + 4 = 4 \)
- \( 9 \times 6 = 54 \) (write 4, carry 5)
- \( 6 \times 6 = 36 \), add the carry 5: \( 36 + 5 = 41 \)
So, \( 6907 \times 6 = 41442 \).
- Multiply each digit of 8257 by 8:
- \( 7 \times 8 = 56 \) (write 6, carry 5)
- \( 5 \times 8 = 40 \), add the carry 5: \( 40 + 5 = 45 \) (write 5, carry 4)
- \( 2 \times 8 = 16 \), add the carry 4: \( 16 + 4 = 20 \) (write 0, carry 2)
- \( 8 \times 8 = 64 \), add the carry 2: \( 64 + 2 = 66 \)
So, \( 8257 \times 8 = 66056 \).
- Multiply each digit of 7869 by 9:
- \( 9 \times 9 = 81 \) (write 1, carry 8)
- \( 6 \times 9 = 54 \), add the carry 8: \( 54 + 8 = 62 \) (write 2, carry 6)
- \( 8 \times 9 = 72 \), add the carry 6: \( 72 + 6 = 78 \) (write 8, carry 7)
- \( 7 \times 9 = 63 \), add the carry 7: \( 63 + 7 = 70 \)
So, \( 7869 \times 9 = 70821 \).
\[
\begin{aligned}
&5389 \times 3 = 16167 \\
&2495 \times 4 = 9980 \\
&3389 \times 5 = 16945 \\
&2767 \times 8 = 22136 \\
&4290 \times 7 = 29930 \\
&9620 \times 4 = 38480 \\
&6903 \times 3 = 20709 \\
&6907 \times 6 = 41442 \\
&8257 \times 8 = 66056 \\
&7869 \times 9 = 70821 \\
\end{aligned}
\]
\boxed{
\begin{aligned}
&16167 \\
&9980 \\
&16945 \\
&22136 \\
&29930 \\
&38480 \\
&20709 \\
&41442 \\
&66056 \\
&70821 \\
\end{aligned}
}
Problem 1: \( 5389 \times 3 \)
- Multiply each digit of 5389 by 3:
- \( 9 \times 3 = 27 \) (write 7, carry 2)
- \( 8 \times 3 = 24 \), add the carry 2: \( 24 + 2 = 26 \) (write 6, carry 2)
- \( 3 \times 3 = 9 \), add the carry 2: \( 9 + 2 = 11 \) (write 1, carry 1)
- \( 5 \times 3 = 15 \), add the carry 1: \( 15 + 1 = 16 \) (write 16)
So, \( 5389 \times 3 = 16167 \).
Problem 2: \( 2495 \times 4 \)
- Multiply each digit of 2495 by 4:
- \( 5 \times 4 = 20 \) (write 0, carry 2)
- \( 9 \times 4 = 36 \), add the carry 2: \( 36 + 2 = 38 \) (write 8, carry 3)
- \( 4 \times 4 = 16 \), add the carry 3: \( 16 + 3 = 19 \) (write 9, carry 1)
- \( 2 \times 4 = 8 \), add the carry 1: \( 8 + 1 = 9 \)
So, \( 2495 \times 4 = 9980 \).
Problem 3: \( 3389 \times 5 \)
- Multiply each digit of 3389 by 5:
- \( 9 \times 5 = 45 \) (write 5, carry 4)
- \( 8 \times 5 = 40 \), add the carry 4: \( 40 + 4 = 44 \) (write 4, carry 4)
- \( 3 \times 5 = 15 \), add the carry 4: \( 15 + 4 = 19 \) (write 9, carry 1)
- \( 3 \times 5 = 15 \), add the carry 1: \( 15 + 1 = 16 \)
So, \( 3389 \times 5 = 16945 \).
Problem 4: \( 2767 \times 8 \)
- Multiply each digit of 2767 by 8:
- \( 7 \times 8 = 56 \) (write 6, carry 5)
- \( 6 \times 8 = 48 \), add the carry 5: \( 48 + 5 = 53 \) (write 3, carry 5)
- \( 7 \times 8 = 56 \), add the carry 5: \( 56 + 5 = 61 \) (write 1, carry 6)
- \( 2 \times 8 = 16 \), add the carry 6: \( 16 + 6 = 22 \)
So, \( 2767 \times 8 = 22136 \).
Problem 5: \( 4290 \times 7 \)
- Multiply each digit of 4290 by 7:
- \( 0 \times 7 = 0 \)
- \( 9 \times 7 = 63 \) (write 3, carry 6)
- \( 2 \times 7 = 14 \), add the carry 6: \( 14 + 6 = 20 \) (write 0, carry 2)
- \( 4 \times 7 = 28 \), add the carry 2: \( 28 + 2 = 30 \)
So, \( 4290 \times 7 = 29930 \).
Problem 6: \( 9620 \times 4 \)
- Multiply each digit of 9620 by 4:
- \( 0 \times 4 = 0 \)
- \( 2 \times 4 = 8 \)
- \( 6 \times 4 = 24 \) (write 4, carry 2)
- \( 9 \times 4 = 36 \), add the carry 2: \( 36 + 2 = 38 \)
So, \( 9620 \times 4 = 38480 \).
Problem 7: \( 6903 \times 3 \)
- Multiply each digit of 6903 by 3:
- \( 3 \times 3 = 9 \)
- \( 0 \times 3 = 0 \)
- \( 9 \times 3 = 27 \) (write 7, carry 2)
- \( 6 \times 3 = 18 \), add the carry 2: \( 18 + 2 = 20 \)
So, \( 6903 \times 3 = 20709 \).
Problem 8: \( 6907 \times 6 \)
- Multiply each digit of 6907 by 6:
- \( 7 \times 6 = 42 \) (write 2, carry 4)
- \( 0 \times 6 = 0 \), add the carry 4: \( 0 + 4 = 4 \)
- \( 9 \times 6 = 54 \) (write 4, carry 5)
- \( 6 \times 6 = 36 \), add the carry 5: \( 36 + 5 = 41 \)
So, \( 6907 \times 6 = 41442 \).
Problem 9: \( 8257 \times 8 \)
- Multiply each digit of 8257 by 8:
- \( 7 \times 8 = 56 \) (write 6, carry 5)
- \( 5 \times 8 = 40 \), add the carry 5: \( 40 + 5 = 45 \) (write 5, carry 4)
- \( 2 \times 8 = 16 \), add the carry 4: \( 16 + 4 = 20 \) (write 0, carry 2)
- \( 8 \times 8 = 64 \), add the carry 2: \( 64 + 2 = 66 \)
So, \( 8257 \times 8 = 66056 \).
Problem 10: \( 7869 \times 9 \)
- Multiply each digit of 7869 by 9:
- \( 9 \times 9 = 81 \) (write 1, carry 8)
- \( 6 \times 9 = 54 \), add the carry 8: \( 54 + 8 = 62 \) (write 2, carry 6)
- \( 8 \times 9 = 72 \), add the carry 6: \( 72 + 6 = 78 \) (write 8, carry 7)
- \( 7 \times 9 = 63 \), add the carry 7: \( 63 + 7 = 70 \)
So, \( 7869 \times 9 = 70821 \).
Final Answers:
\[
\begin{aligned}
&5389 \times 3 = 16167 \\
&2495 \times 4 = 9980 \\
&3389 \times 5 = 16945 \\
&2767 \times 8 = 22136 \\
&4290 \times 7 = 29930 \\
&9620 \times 4 = 38480 \\
&6903 \times 3 = 20709 \\
&6907 \times 6 = 41442 \\
&8257 \times 8 = 66056 \\
&7869 \times 9 = 70821 \\
\end{aligned}
\]
\boxed{
\begin{aligned}
&16167 \\
&9980 \\
&16945 \\
&22136 \\
&29930 \\
&38480 \\
&20709 \\
&41442 \\
&66056 \\
&70821 \\
\end{aligned}
}
Parent Tip: Review the logic above to help your child master the concept of multiplication worksheet multiples of 4.