Question

Multiply vertically. Verify your answer using a calculator. a.$$\begin{array}{r} 34 \\\ \times \quad 4 \\\ \hline \end{array}$$ $$\text { b. } \begin{array}{r} 529 \\\ \times \quad 8 \\\ \hline \end{array}$$ c.$$\begin{array}{r} 67 \\\ \times \quad 5 \\\ \hline \end{array}$$ d.$$\begin{array}{r} 807 \\\ \times \quad 9 \\\ \hline \end{array}$$ e.$$\begin{array}{r} 125 \\\ \times \quad 8 \\\ \hline \end{array}$$ f.$$\begin{array}{r} 2001 \\\ \times \quad 25 \\\ \hline \end{array}$$ g.$$\begin{array}{r} 75 \\\ \text { g. } \times 52 \\\ \hline \end{array}$$ h$$\begin{array}{r} 1967 \\\ \times \quad 105 \\\ \hline \end{array}$$

Short answer

Question: Multiply the given numbers vertically and verify your answer using a calculator: a. Multiply 34 by 4 b. Multiply 529 by 8 Answer: a. The product of 34 and 4 is 136. b. The product of 529 and 8 is 4232.

Step-by-step solution

a. Multiplication of 34 and 4

To multiply 34 by 4, perform the following steps: 1. Write the two numbers, one above the other, with 4 under 34. 2. Multiply the ones digit of the first number (4) by the second number (4) and write the result (16) under the line. 3. Move one place to the left and multiply the tens digit of the first number (3) by the second number (4) and write the result (12) with proper place value. 4. Add the results to get the final product (136). The vertical multiplication looks like this: $$\begin{array}{@{}c@{\;}c@{}c@{\;}c@{}c} & & \stackrel{1}{3} & \stackrel{ }{4} \\ \times & & & 4 \\ \cline{2-4} & & 1 & 6 \\ + & 1 & 2 & \\ \cline{2-4} & 1 & 3 & 6 \\ \end{array}$$ Check your answer using a calculator: 34 x 4 = 136.

b. Multiplication of 529 and 8

To multiply 529 by 8, follow these steps: 1. Write 8 under 529. 2. Multiply the ones digit of 529 (9) by 8 and write the result (72) under the line. 3. Move one place to the left and multiply the tens digit of 529 (2) by 8 and write the result (16) with proper place value. 4. Move another place to the left and multiply the hundreds digit of 529 (5) by 8 and write the result (40) with proper place value. 5. Add the results to get the final product (4232). The vertical multiplication looks like this: $$\begin{array}{@{}c@{\;}c@{}c@{\;}c@{}c} & \stackrel{4}{5} & \stackrel{1}{2} & \stackrel{7}{9} \\ \times & & & 8 \\ \cline{2-4} & & 7 & 2 \\ & & 1 & 6 \\ +4 & 0 & & \\ \cline{1-4} 4 & 2 & 3 & 2 \\ \end{array}$$ Check your answer using a calculator: 529 x 8 = 4232. Similarly, the other products can be calculated using the same method. c. 67 x 5 = 335 d. 807 x 9 = 7263 e. 125 x 8 = 1000 f. 2001 x 25 = 50025 g. 75 x 52 = 3900 h. 1967 x 105 = 206535