Math Problem Statement

Express each of the following in decimal notation. 𝐚. 5.37 Γ— 106 b. 1.7 Γ— 10βˆ’7

Solution

Let's express each of the given numbers in decimal notation:

a. 5.37Γ—1065.37 \times 10^6

To convert this to decimal notation, move the decimal point 6 places to the right:

5.37Γ—106=53700005.37 \times 10^6 = 5370000

So, the answer is 5,370,000.


b. 1.7Γ—10βˆ’71.7 \times 10^{-7}

To convert this to decimal notation, move the decimal point 7 places to the left:

1.7Γ—10βˆ’7=0.000000171.7 \times 10^{-7} = 0.00000017

So, the answer is 0.00000017.

Would you like more details or have any questions?

Here are some related questions:

  1. How do you convert a number from scientific notation to decimal notation?
  2. What is the significance of the exponent in scientific notation?
  3. How do you handle negative exponents when converting to decimal notation?
  4. Can you express 4.56Γ—1034.56 \times 10^3 in decimal notation?
  5. What is 9.81Γ—10βˆ’49.81 \times 10^{-4} in decimal notation?
  6. How would you express 2.3Γ—1052.3 \times 10^{5} in decimal notation?
  7. What is the result of converting 6.02Γ—10236.02 \times 10^{23} to decimal notation?
  8. How would you express 7.5Γ—10βˆ’67.5 \times 10^{-6} in decimal notation?

Tip: When converting scientific notation to decimal, the exponent tells you how many places to move the decimal point and in which direction (right for positive exponents, left for negative exponents).