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Find the product : 0.74 xx6.7...

Find the product :
`0.74 xx6.7`

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The correct Answer is:
To find the product of \(0.74\) and \(6.7\), we will follow these steps: ### Step 1: Remove the decimals temporarily First, we can ignore the decimal points to make the multiplication easier. - Convert \(0.74\) to \(74\) (by multiplying by \(100\)) - Convert \(6.7\) to \(67\) (by multiplying by \(10\)) ### Step 2: Multiply the whole numbers Now, we will multiply \(74\) by \(67\): \[ 74 \times 67 \] ### Step 3: Perform the multiplication We can break it down: - \(74 \times 7\): - \(7 \times 4 = 28\) (write down \(8\), carry over \(2\)) - \(7 \times 7 = 49\), plus the carry \(2\) gives \(51\). - So, \(74 \times 7 = 517\). - \(74 \times 60\) (which is \(74 \times 6\) shifted one place to the left): - \(6 \times 4 = 24\) (write down \(4\), carry over \(2\)) - \(6 \times 7 = 42\), plus the carry \(2\) gives \(44\). - So, \(74 \times 6 = 444\), and shifting gives \(4440\). ### Step 4: Add the results Now, we add the two results: \[ 517 + 4440 = 4957 \] ### Step 5: Place the decimal point Now we need to place the decimal point back in the product. - The original numbers \(0.74\) has \(2\) decimal places and \(6.7\) has \(1\) decimal place. - Therefore, we have a total of \(2 + 1 = 3\) decimal places. So, we place the decimal point in \(4957\) to get \(4.957\). ### Final Answer Thus, the product of \(0.74\) and \(6.7\) is: \[ \boxed{4.957} \]
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