Question

1. \\(\

$$\begin{array}{r}35\\\\\\times 22\\\\\\hline\\end{array}$$

\\) 2. \\(\

$$\begin{array}{r}28\\\\\\times 15\\\\\\hline\\end{array}$$

\\) 3. \\(\

$$\begin{array}{r}54\\\\\\times 31\\\\\\hline\\end{array}$$

\\) 4. \\(\

$$\begin{array}{r}86\\\\\\times 43\\\\\\hline\\end{array}$$

\\) activity 3 use the expanded method of multiplication to answer these problem

Explanation:

Problem 1: \( 35 \times 22 \)

Step1: Expand 22 as \( 20 + 2 \)

\( 35 \times 22 = 35 \times (20 + 2) \)

Step2: Use distributive property \( a \times (b + c) = a \times b + a \times c \)

\( 35 \times 20 + 35 \times 2 = 700 + 70 \)

Step3: Add the results

\( 700 + 70 = 770 \)

Step1: Expand 15 as \( 10 + 5 \)

\( 28 \times 15 = 28 \times (10 + 5) \)

Step2: Use distributive property

\( 28 \times 10 + 28 \times 5 = 280 + 140 \)

Step3: Add the results

\( 280 + 140 = 420 \)

Step1: Expand 31 as \( 30 + 1 \)

\( 54 \times 31 = 54 \times (30 + 1) \)

Step2: Use distributive property

\( 54 \times 30 + 54 \times 1 = 1620 + 54 \)

Step3: Add the results

\( 1620 + 54 = 1674 \)

Answer:

770

Problem 2: \( 28 \times 15 \)