Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the product of 
9.4 ×10^(3) and 
7.4 ×10^(2) expressed in scientific notation?
Answer:

What is the product of 9.4×103 9.4 \times 10^{3} and 7.4×102 7.4 \times 10^{2} expressed in scientific notation?\newlineAnswer:

Full solution

Q. What is the product of 9.4×103 9.4 \times 10^{3} and 7.4×102 7.4 \times 10^{2} expressed in scientific notation?\newlineAnswer:
  1. Multiply Coefficients: Multiply the coefficients (9.49.4 and 7.47.4) together.\newlineCalculation: 9.4×7.49.4 \times 7.4
  2. Add Exponents: Add the exponents (33 and 22) together since we are multiplying powers of 1010.\newlineCalculation: 3+2=53 + 2 = 5
  3. Combine in Scientific Notation: Combine the results from Step 11 and Step 22 to express the product in scientific notation.\newlineCalculation: (9.4×7.4)×10(3+2)(9.4 \times 7.4) \times 10^{(3+2)}
  4. Perform Coefficient Multiplication: Perform the multiplication of the coefficients from Step 11.\newlineCalculation: 9.4×7.4=69.569.4 \times 7.4 = 69.56
  5. Adjust Coefficient: Write the product from Step 44 in scientific notation. Since the coefficient (69.5669.56) is not between 11 and 1010, we need to adjust it.\newlineCalculation: 69.5669.56 can be written as 6.956×1016.956 \times 10^1 because we moved the decimal one place to the left.
  6. Combine with Exponent: Combine the result from Step 55 with the exponent from Step 22 to get the final answer in scientific notation.\newlineCalculation: 6.956×101×105=6.956×10(1+5)6.956 \times 10^1 \times 10^5 = 6.956 \times 10^{(1+5)}
  7. Add Exponents: Add the exponents from Step 66.\newlineCalculation: 1+5=61 + 5 = 6
  8. Final Scientific Notation: Write the final answer in scientific notation.\newlineCalculation: 6.956×1066.956 \times 10^6

More problems from Convert between standard and scientific notation