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Write each of the following as decimals....

Write each of the following as decimals.
`700 + 9+ ( 2)/( 10) + ( 6)/( 1000)`

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To convert the expression \(700 + 9 + \frac{2}{10} + \frac{6}{1000}\) into decimal form, we can follow these steps: ### Step 1: Identify the whole numbers The whole numbers in the expression are \(700\) and \(9\). These will remain the same in decimal form. **Hint:** Whole numbers do not change when converting to decimals. ### Step 2: Convert the fractions to decimals - For \(\frac{2}{10}\): - Divide \(2\) by \(10\) to get \(0.2\). **Hint:** To convert a fraction with a denominator of \(10\), move the decimal point of the numerator to the left by the number of zeros in the denominator. - For \(\frac{6}{1000}\): - Divide \(6\) by \(1000\) to get \(0.006\). **Hint:** For a denominator of \(1000\), move the decimal point of the numerator three places to the left. ### Step 3: Write the whole numbers and decimals together Now we have: - \(700\) (as a decimal: \(700.000\)) - \(9\) (as a decimal: \(9.000\)) - \(0.2\) - \(0.006\) ### Step 4: Align the numbers for addition Align the numbers according to their decimal places: ``` 700.000 + 9.000 + 0.200 + 0.006 ``` ### Step 5: Perform the addition Now, add the numbers column by column: - Start from the rightmost column (thousandths): - \(0 + 0 + 0 + 6 = 6\) - Next column (hundredths): - \(0 + 0 + 2 + 0 = 2\) - Next column (tenths): - \(0 + 0 + 0 + 0 = 0\) - Next column (units): - \(9 + 0 + 0 + 0 = 9\) - Finally, the hundreds: - \(7 + 0 + 0 + 0 = 7\) Putting it all together, we get: ``` 700.000 + 9.000 + 0.200 + 0.006 ----------- 709.206 ``` ### Final Answer The decimal form of \(700 + 9 + \frac{2}{10} + \frac{6}{1000}\) is \(709.206\). ---
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MTG IIT JEE FOUNDATION-DECIMALS-SOLVED EXAMPLE
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