Answer:
1.) 1200
2.) 200,000= 2.0 × 10⁵ . 54000 = 5.4 × 10⁴ . 127000 = 1.27 × 10⁵
3.) 149000000 = 1.49 × 10⁸
4.) 2.5 × 10⁻² = 0.025
5.) 5 × 10⁻² . 8 × 10⁻¹ 0.00261 = 2 × 10⁻³
6.) 0.000139m = 1.39 × 10⁻⁴
7.) 0.6 × 10⁶ changes to 6.0 × 10⁵
0.54 × 10⁻¹² changes to 5.4 × 10⁻¹³
8 × 10⁻⁵ changes to 8.0 × 10⁻⁵
10 × 10³ changes to 10 × 10⁴
44 × 10⁷ changes to 4.4 × 10⁸
1 × 10² changes to 1.0× 10²
Step-by-step explanation:
1. Positive exponents: Whatever the Power of 10 in standard form, move the decimal that many places to the right.
2,3 & 7. Standard Form always uses One digit to the left of the decimal, then some power of 10. That digit must be equal or greater than 1, but less than 10. There must be at least one digit to the right of the decimal, even if it is 0.
4. Negative exponents: Whatever the Power of 10 in Standard Form, move the decimal that many places to the left to write as a regular decimal (old fashioned)
5 & 6. Reverse of 4. How many places you moved the decimal to the right, thats the number you put as the negative exponent of 10 in Standard Form.
7. AAUGH! Same as 2 & 3 but more confusing! There are rules!
I hope this helps.
Check out Scientific Notation, another name for Standard Form.
