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QUESTION IMAGE

\\1.5 \\times 150\\ \\\\begin{array}{r} 150 \\\\ \\times \\quad 15 \\\\…

Question

\\1.5 \times 150\\

\\\

$$\begin{array}{r} 150 \\\\ \\times \\quad 15 \\\\ \\hline 750 \\\\ 150x \\end{array}$$

\\

Explanation:

🆕 New Concept Discovered: Multiplying Decimals
Multiply as whole numbers, then place the decimal point.

Step 1: Set up the multiplication without decimals

Multiply \( 150 \) by \( 15 \) as if they are whole numbers:

$$ LATEXBLOCK0 $$

Step 2: Place the decimal point

Count the total number of decimal places in the original factors:

  • \( 150 \) has \( 0 \) decimal places.
  • \( 1.5 \) has \( 1 \) decimal place.

The total is \( 1 \) decimal place. Move the decimal point in the product \( 2250 \) one place to the left:

$$ 2250.0 ightarrow 225.0 $$

Answer:

\( 225 \)