translate the fact below from scientific notation to standard notation:
A. 1.07 times 10 to the eighth power
B. 7.07 times 10 to the second power
C. 2.4 times 10 to the negative three power
A. Move decimal place 8 places to the right.
B. Move decimal place 2 places to the right.
C. Move decimal place 3 places to the left.
To translate a number from scientific notation to standard notation, you need to multiply the coefficient (the number before "times 10 to the power") by 10 raised to the power.
Let's go through each example:
A. 1.07 times 10 to the eighth power:
To convert this to standard notation, we multiply 1.07 by 10 raised to the power of 8.
1.07 * 10^8 = 107,000,000
So, the standard notation for 1.07 times 10 to the eighth power is 107,000,000.
B. 7.07 times 10 to the second power:
To convert this to standard notation, we multiply 7.07 by 10 raised to the power of 2.
7.07 * 10^2 = 707
So, the standard notation for 7.07 times 10 to the second power is 707.
C. 2.4 times 10 to the negative three power:
To convert this to standard notation, we multiply 2.4 by 10 raised to the power of -3. When the power is negative, it means we move the decimal point to the left.
2.4 * 10^-3
Now, to move the decimal point three places to the left, we get:
0.0024
So, the standard notation for 2.4 times 10 to the negative three power is 0.0024.