Question

Convert the following numbers from Standard Form to Scientific Notation.

1) 7,343,000 =
2) .000343 =
3) 9,204,000,000 =
4) .000000121 =
5) 91,220,000 =

Answer 1

Converting numbers from standard form to scientific notation involves moving the decimal point to right after the first non-zero digit and using the number of places moved as the exponent of 10. The exponent is positive for large numbers and negative for small numbers.

Step-by-step explanation:

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is commonly used in mathematics and the sciences. Here is how the provided numbers can be converted from standard form to scientific notation:

1. 7,343,000 = 7.343 × 106
2. 0.000343 = 3.43 × 10-4
3. 9,204,000,000 = 9.204 × 109
4. 0.000000121 = 1.21 × 10-7
5. 91,220,000 = 9.122 × 107

In each case, the decimal point is moved to just after the first non-zero digit, and the number of places moved becomes the exponent of 10. The exponent is positive when the original number is large and the decimal moves to the left, and negative when the original number is small and the decimal moves to the right.