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Evaluate the 9.01 xx2.5xx1.6...

Evaluate the
`9.01 xx2.5xx1.6`

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To evaluate the expression \(9.01 \times 2.5 \times 1.6\), we will follow these steps: ### Step 1: Multiply the first two numbers First, we will multiply \(9.01\) and \(2.5\). 1. **Multiply without decimals**: - \(9.01\) can be treated as \(901\) (removing the decimal temporarily). - \(2.5\) can be treated as \(25\) (removing the decimal temporarily). - Now we perform the multiplication: \[ 901 \times 25 \] 2. **Perform the multiplication**: - \(901 \times 25\): - \(901 \times 5 = 4505\) - \(901 \times 20 = 18020\) (since \(20\) is \(2\) times \(10\)) - Now, add these two results: \[ 4505 + 18020 = 22525 \] 3. **Adjust for decimals**: - In \(9.01\), there are 2 decimal places. - In \(2.5\), there is 1 decimal place. - Total decimal places = \(2 + 1 = 3\). - Therefore, we place the decimal point in \(22525\) to get \(22.525\). ### Step 2: Multiply the result with the third number Now, we will multiply \(22.525\) by \(1.6\). 1. **Multiply without decimals**: - Treat \(22.525\) as \(22525\) and \(1.6\) as \(16\). - Now we perform the multiplication: \[ 22525 \times 16 \] 2. **Perform the multiplication**: - \(22525 \times 16\): - \(22525 \times 6 = 135150\) - \(22525 \times 10 = 225250\) (since \(10\) is \(1\) times \(10\)) - Now, add these two results: \[ 135150 + 225250 = 360400 \] 3. **Adjust for decimals**: - In \(22.525\), there are 3 decimal places. - In \(1.6\), there is 1 decimal place. - Total decimal places = \(3 + 1 = 4\). - Therefore, we place the decimal point in \(360400\) to get \(36.0400\), which simplifies to \(36.04\). ### Final Answer Thus, the result of \(9.01 \times 2.5 \times 1.6\) is: \[ \boxed{36.04} \]
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