The image you uploaded is an advertisement for "2 Digit by 1 Digit Multiplication" worksheets. These are printable math worksheets designed to help students practice multiplying two-digit numbers by one-digit numbers. Below, I will explain the concept of 2-digit by 1-digit multiplication and provide a step-by-step solution for solving such problems.
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Understanding 2-Digit by 1-Digit Multiplication
In 2-digit by 1-digit multiplication, you multiply a two-digit number (e.g., 34) by a single-digit number (e.g., 5). The process involves breaking down the multiplication into simpler steps using place value.
#### Example Problem:
Let's solve \( 34 \times 5 \).
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Step-by-Step Solution
1.
Write the problem:
\[
34 \times 5
\]
2.
Break down the two-digit number into tens and ones:
- The number 34 can be written as \( 30 + 4 \).
3.
Multiply each part by the single-digit number:
- Multiply the tens place: \( 30 \times 5 = 150 \)
- Multiply the ones place: \( 4 \times 5 = 20 \)
4.
Add the results together:
\[
150 + 20 = 170
\]
So, \( 34 \times 5 = 170 \).
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Alternative Method: Standard Algorithm
Another way to solve this is using the standard multiplication algorithm:
1.
Write the numbers vertically:
\[
\begin{array}{r}
34 \\
\times 5 \\
\hline
\end{array}
\]
2.
Multiply the ones place:
- Multiply \( 4 \times 5 = 20 \). Write down 0 and carry over 2.
\[
\begin{array}{r}
34 \\
\times 5 \\
\hline
0 \\
\end{array}
\]
(Carry over 2.)
3.
Multiply the tens place and add the carry-over:
- Multiply \( 3 \times 5 = 15 \), then add the carried-over 2: \( 15 + 2 = 17 \).
- Write down 17.
\[
\begin{array}{r}
34 \\
\times 5 \\
\hline
170 \\
\end{array}
\]
So, \( 34 \times 5 = 170 \).
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Why These Worksheets Are Useful
These worksheets are designed to:
- Provide repetitive practice, which helps students master the skill.
- Reinforce understanding of place value and multiplication concepts.
- Prepare students for more complex multiplication problems (e.g., multi-digit multiplication).
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Final Answer
The solution to the example problem \( 34 \times 5 \) is:
\[
\boxed{170}
\]
If you have specific problems from the worksheet you'd like me to solve, feel free to share them!
Parent Tip: Review the logic above to help your child master the concept of 2 digit by 1 digit multiplication worksheet printable.
