i need to write the each number in scientifi notation.
the brain contatins about 100 trillion nerve connections
i wrote: 1 x 10^11 power
the volume of the water behind the grand coulee dam is aobut 10.6 million cubic yards
i wrote: 1.06 x 10^2 power
are these correct?
No.
1,000,000,000,000 = 1.0 * 10^12
10,600,000 = 10.6 * 10^6
10^2 = 100
To convert numbers to scientific notation, you express the given number as a product of a decimal number between 1 and 10 (inclusive) and a power of 10.
For the first example, the brain contains about 100 trillion nerve connections. To convert it to scientific notation:
1. Move the decimal point so that there is one non-zero digit to the left of the decimal point. In this case, it would be 1.
2. Count the number of places you moved the decimal point. In this case, you moved it 14 places to the left.
3. Express the decimal number as a product of 1 and the power of 10. So, the scientific notation for 100 trillion would be 1 x 10^14.
Therefore, your answer for the first question is incorrect. The correct scientific notation for 100 trillion nerve connections is 1 x 10^14.
For the second example, the volume of water behind the Grand Coulee Dam is about 10.6 million cubic yards. To convert it to scientific notation:
1. Move the decimal point so that there is one non-zero digit to the left of the decimal point. In this case, it would be 1.06.
2. Count the number of places you moved the decimal point. In this case, you moved it 6 places to the left.
3. Express the decimal number as a product of 1 and the power of 10. So, the scientific notation for 10.6 million would be 1.06 x 10^6.
Therefore, your answer for the second question is correct. The volume of water behind the Grand Coulee Dam in scientific notation is 1.06 x 10^6.