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Find the product : 113.12 xx 2.09...

Find the product :
`113.12 xx 2.09`

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The correct Answer is:
To find the product of 113.12 and 2.09, we will follow these steps: ### Step 1: Remove the decimal points First, we will convert the decimal numbers into whole numbers by removing the decimal points. - For 113.12, we can express it as: \[ 113.12 = \frac{11312}{100} \] This is because there are 2 digits after the decimal point. - For 2.09, we can express it as: \[ 2.09 = \frac{209}{100} \] This is also because there are 2 digits after the decimal point. ### Step 2: Set up the multiplication Now we can multiply the two fractions: \[ 113.12 \times 2.09 = \frac{11312}{100} \times \frac{209}{100} \] ### Step 3: Multiply the numerators and denominators Next, we will multiply the numerators and the denominators separately: \[ = \frac{11312 \times 209}{100 \times 100} \] ### Step 4: Calculate the multiplication of the numerators Now, we will calculate \(11312 \times 209\): \[ 11312 \times 209 = 2364208 \] ### Step 5: Calculate the multiplication of the denominators Next, we calculate \(100 \times 100\): \[ 100 \times 100 = 10000 \] ### Step 6: Combine the results Now we can combine the results: \[ = \frac{2364208}{10000} \] ### Step 7: Place the decimal point To convert the fraction back to decimal, we will move the decimal point 4 places to the left (since there are 4 zeros in 10000): \[ = 236.4208 \] ### Final Answer Thus, the product of 113.12 and 2.09 is: \[ \boxed{236.4208} \] ---
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