Question

make it sound like a 7 year old made this Scientific notation is a shorthand way to write very large or very small numbers by expressing them as a product of a number between 1 and 10 and a power of 10. To write a large number, you move the decimal point to the left until only one non-zero digit remains to its left, then count the number of places moved to find your positive exponent. For example, the number 50,000 in Standard Form is written in Scientific Notation as \(5\times 10^{4}\), where the exponent \(4\) shows the decimal was moved four places to the left.

Answer 1

make this shorter and sound like a 7 year old To figure out which prize is better we can make a list for each one where Choice A starts with just ten cents but doubles every single day and Choice B starts with five dollars and just adds five more dollars every time so on the first day you have $0.10 for A and $5.00 for B and then on day two it is $0.20 for A and $10.00 for B and by day three it is $0.40 for A and $15.00 for B and on day four it is $0.80 for A and $20.00 for B and on day five it is $1.60 for A and $25.00 for B and on day six it is $3.20 for A and $30.00 for B and on day seven it is $6.40 for A and $35.00 for B and on day eight it is $12.80 for A and $40.00 for B and on day nine it is $25.60 for A and $45.00 for B and finally on day ten you get $51.20 for A while B only gives you $50.00 so Day 10 is when Choice A finally wins because doubling makes numbers grow super fast like a magic beanstalk once they get going.

Answer 2

Scientific notation is a short way to write really big or really tiny numbers so they’re not super long. You move the dot (decimal point) left until there’s just one number that isn’t zero in front, then count how many moves you did. That number of moves is the little power of 10 (positive if you moved left). For example, 50,000 becomes 5 x 10^4 because I moved the dot four times to the left. It’s like a shortcut for big numbers!