Q. What is the product of 9.4×103 and 7.4×102 expressed in scientific notation?Answer:
Multiply Coefficients: Multiply the coefficients (9.4 and 7.4) together.Calculation: 9.4×7.4
Add Exponents: Add the exponents (3 and 2) together since we are multiplying powers of 10.Calculation: 3+2=5
Combine in Scientific Notation: Combine the results from Step 1 and Step 2 to express the product in scientific notation.Calculation: (9.4×7.4)×10(3+2)
Perform Coefficient Multiplication: Perform the multiplication of the coefficients from Step 1.Calculation: 9.4×7.4=69.56
Adjust Coefficient: Write the product from Step 4 in scientific notation. Since the coefficient (69.56) is not between 1 and 10, we need to adjust it.Calculation: 69.56 can be written as 6.956×101 because we moved the decimal one place to the left.
Combine with Exponent: Combine the result from Step 5 with the exponent from Step 2 to get the final answer in scientific notation.Calculation: 6.956×101×105=6.956×10(1+5)
Add Exponents: Add the exponents from Step 6.Calculation: 1+5=6
Final Scientific Notation: Write the final answer in scientific notation.Calculation: 6.956×106
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