Question

correct multiplication step incorrect multiplication step
0.5×2 4×2
0.3×2
4×0.3
gap 1 gap 2

0.5 × 2 0.3 × 2
0.3 × 0.5 4 × 2
4 × 0.5 4 × 0.3

Explanation:

To solve this, we analyze the correct and incorrect multiplication steps:

For Gap 1 (Correct Multiplication Step)

We need to find the multiplication expressions that are correct. Looking at the correct side, the expressions should be valid multiplications. The correct expressions here are:

• \( 0.5 \times 2 \) (matches the first left box)
• \( 4 \times 0.5 \) (matches the third left box)
• \( 0.3 \times 0.5 \) (matches the second left box) ? Wait, no, let's re - examine. Wait, the "Correct Multiplication Step" column (Gap 1) should have the correct multiplication expressions. Let's look at the boxes below:

The left - side boxes (under Correct Multiplication Step's Gap 1) have:

1. \( 0.5\times2\)
2. \( 0.3\times0.5\)
3. \( 4\times0.5\)

For Gap 2 (Incorrect Multiplication Step)

The right - side boxes (under Incorrect Multiplication Step's Gap 2) have:

1. \( 0.3\times2\)
2. \( 4\times2\)
3. \( 4\times0.3\)

If we assume the task is to fill the gaps with the appropriate boxes:

For Gap 1 (Correct Multiplication Step), the appropriate boxes (correct multiplications) are:

• \( 0.5\times2\) (top - left box)
• \( 4\times0.5\) (bottom - left box)
• \( 0.3\times0.5\) (middle - left box)

For Gap 2 (Incorrect Multiplication Step), the appropriate boxes (incorrect multiplications) are:

• \( 0.3\times2\) (top - right box)
• \( 4\times2\) (middle - right box)
• \( 4\times0.3\) (bottom - right box)

If we are to match the boxes to the gaps:

For Gap 1 (Correct Multiplication Step):

• Place \( 0.5\times2\), \( 4\times0.5\), and \( 0.3\times0.5\) in Gap 1.

For Gap 2 (Incorrect Multiplication Step):

• Place \( 0.3\times2\), \( 4\times2\), and \( 4\times0.3\) in Gap 2.

Final Answer

For Gap 1 (Correct Multiplication Step), the expressions are \( 0.5\times2\), \( 4\times0.5\), \( 0.3\times0.5\). For Gap 2 (Incorrect Multiplication Step), the expressions are \( 0.3\times2\), \( 4\times2\), \( 4\times0.3\). If we are to select the boxes:

Gap 1 (Correct) should have:

• \( 0.5\times2\) (box with the single shaded rectangle split vertically)
• \( 4\times0.5\) (box with four shaded rectangles horizontally)
• \( 0.3\times0.5\) (box with three shaded rectangles vertically)

Gap 2 (Incorrect) should have:

• \( 0.3\times2\) (box with three shaded rectangles split vertically)
• \( 4\times2\) (box with eight shaded rectangles in a \(4\times2\) grid)
• \( 4\times0.3\) (box with four non - shaded (or less - shaded) rectangles horizontally)

Answer:

To solve this, we analyze the correct and incorrect multiplication steps:

For Gap 1 (Correct Multiplication Step)

We need to find the multiplication expressions that are correct. Looking at the correct side, the expressions should be valid multiplications. The correct expressions here are:

• \( 0.5 \times 2 \) (matches the first left box)
• \( 4 \times 0.5 \) (matches the third left box)
• \( 0.3 \times 0.5 \) (matches the second left box) ? Wait, no, let's re - examine. Wait, the "Correct Multiplication Step" column (Gap 1) should have the correct multiplication expressions. Let's look at the boxes below:

The left - side boxes (under Correct Multiplication Step's Gap 1) have:

1. \( 0.5\times2\)
2. \( 0.3\times0.5\)
3. \( 4\times0.5\)

For Gap 2 (Incorrect Multiplication Step)

The right - side boxes (under Incorrect Multiplication Step's Gap 2) have:

1. \( 0.3\times2\)
2. \( 4\times2\)
3. \( 4\times0.3\)

If we assume the task is to fill the gaps with the appropriate boxes:

For Gap 1 (Correct Multiplication Step), the appropriate boxes (correct multiplications) are:

• \( 0.5\times2\) (top - left box)
• \( 4\times0.5\) (bottom - left box)
• \( 0.3\times0.5\) (middle - left box)

For Gap 2 (Incorrect Multiplication Step), the appropriate boxes (incorrect multiplications) are:

• \( 0.3\times2\) (top - right box)
• \( 4\times2\) (middle - right box)
• \( 4\times0.3\) (bottom - right box)

If we are to match the boxes to the gaps:

For Gap 1 (Correct Multiplication Step):

• Place \( 0.5\times2\), \( 4\times0.5\), and \( 0.3\times0.5\) in Gap 1.

For Gap 2 (Incorrect Multiplication Step):

• Place \( 0.3\times2\), \( 4\times2\), and \( 4\times0.3\) in Gap 2.

Final Answer

For Gap 1 (Correct Multiplication Step), the expressions are \( 0.5\times2\), \( 4\times0.5\), \( 0.3\times0.5\). For Gap 2 (Incorrect Multiplication Step), the expressions are \( 0.3\times2\), \( 4\times2\), \( 4\times0.3\). If we are to select the boxes:

Gap 1 (Correct) should have:

• \( 0.5\times2\) (box with the single shaded rectangle split vertically)
• \( 4\times0.5\) (box with four shaded rectangles horizontally)
• \( 0.3\times0.5\) (box with three shaded rectangles vertically)

Gap 2 (Incorrect) should have:

• \( 0.3\times2\) (box with three shaded rectangles split vertically)
• \( 4\times2\) (box with eight shaded rectangles in a \(4\times2\) grid)
• \( 4\times0.3\) (box with four non - shaded (or less - shaded) rectangles horizontally)