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Evaluate the expression 2+3×283+1038×0.294747192+3\times283+1038\times0.29474719

Full solution

Q. Evaluate the expression 2+3×283+1038×0.294747192+3\times283+1038\times0.29474719
  1. Follow Order of Operations: First, we need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often abbreviated as PEMDAS. Since there are no parentheses or exponents in this problem, we start with multiplication.\newlineCalculate the first multiplication: 3×2833 \times 283.
  2. Calculate First Multiplication: Perform the multiplication: 3×283=8493 \times 283 = 849.
  3. Calculate Second Multiplication: Next, we need to calculate the second multiplication: 1038×0294747191038 \times 029474719. However, we notice that there is a leading zero in the second number, which does not affect the value of the number. So, 029474719029474719 is the same as 2947471929474719.
  4. Perform Second Multiplication: Now, perform the second multiplication: 1038×294747191038 \times 29474719.
  5. Perform Addition: This multiplication is quite large, and it's easy to make a mistake. Let's do it carefully: 1038×29474719=306087781621038 \times 29474719 = 30608778162.
  6. Perform Addition: Now we have the results of the multiplications, we can add all the terms together: 2+849+306087781622 + 849 + 30608778162.
  7. Add Result to Large Number: Perform the addition: 2+849=8512 + 849 = 851.
  8. Final Answer: Add the result to the large number: 851+30608778162=30608779013851 + 30608778162 = 30608779013.
  9. Final Answer: Add the result to the large number: 851+30608778162=30608779013851 + 30608778162 = 30608779013.We have completed all the operations and arrived at the final answer.