Question:

a) Write in standard notation: 6.3 X 10 to the ninth power.
b) Write in scientific notation: 0.00000047

a. 6300000000

b. 4.7 X 10^-7

630000000

4.7 X 10^-7

a 12 in. by 14 in. rectagular cake is divided into 2 in. squares. If your piece is chosen at random, what is the probability that your piece is from the outside edge of the cake?

To write a number in standard notation, you need to multiply the given number by the power of 10.

a) In this case, the given number is 6.3, and we need to multiply it by 10 to the ninth power. To do that, you move the decimal point 9 places to the right, as the exponent is positive.

So, 6.3 X 10 to the ninth power in standard notation is:

6,300,000,000

b) To write a number in scientific notation, you need to express it as a decimal number between 1 and 10, multiplied by a power of 10.

In the given number 0.00000047, the decimal point is after all the zeros, and we need to move it 8 places to the right to make it a value between 1 and 10. Since we are moving the decimal point to the right, the exponent will be negative.

So, 0.00000047 in scientific notation is:

4.7 X 10 to the negative eighth power