This week I learned to do scientific notation which is a form of writing big numbers in smaller this can be done by moving the decimal point in your number until there is only one non-zero number this number is the base. the coefficient is always 10 to the power of the number of times you moved to the right or left this is the exponent. if you moved to the right the power is positive and to the left it’s negative. To show the scientific form we show the base we found is multiplied by ten with the exponent found. An example of this is 370000= 3.700 then since we moved to the left 4 times it’s positive and then the scientific form is 3.7 x 10^4 the expanded form is 3.7 x 10 x 10 x 10 x 10 which is the scientific form without exponents and 370000 is the standard form. Another example of scientific notation we can show is from this number  0.000087 so first we moved the decimal point to the right 5 times so the base is 8.7 which we multiple by 10 to the power of 5 where we write 8.7 x 10^-5 the other form of this number is expanded with is 8.7 x 0.00001 the standard form is 0.o00087

this week in math I learned how to find the prime factorization and 3 ways to show results. you can find the prime factorization by repeatedly dividing the number by the lowest prime factor and dividing that quotient until it can’t anymore and moving on to the next lowest factor it can divide into until there is any left. then those prime factors that we divided by including how many times I divided each of them which can be shown using exponents are the prime factors of this number. I can show this by showing the number then beside with an equal sign the prime factors and the factors with multiple times can be shown like this “ ” and how many times they were divided by. Another way would be to show the number and draw two lines connected to the prime factor and the result and do that over and over like a brain idea web but with numbers. the 3rd way is basically the 2nd but in a 2-column graph where the prime factors are in the first column and the quotients are on the 2nd column

1. I can use math when I am shopping to add subtract and multiply by the amount of money needed to buy something so that I can get the best price for an item for example if I was buying apples and there was a different pack of the different amount I would have to weigh them and see which has the best value. I can also use math to calculate the discount or tax on an item to see exactly how much I am paying for it
2. I can use math when I am cooking or baking and I need a specific quantity of an ingredient or I need to wait for an amount to cook and have to change it. for example, if I need a 1/2 a 1/4, or a 1/8 of an item I need math for that.
3. I can use math when I am looking at my bank account to calculate the interest percentage over time, or to see how much I am going to have after adding or subtracting money from it.