3.5*10^-4
7.52*10^-3
2.17*10^-4
2.815*10^4
1.667*10^3
3.17*10^9
5.34*10^-5
To understand and work with numbers written in scientific notation (also known as exponential notation), we need to know how to interpret the values. In scientific notation, a number is expressed as the product of a coefficient (a decimal number between 1 and 10) and a power of 10.
Let's break down the examples you provided:
1) 3.5 * 10^-4:
This can be read as "3.5 times 10 raised to the power of -4." To calculate it, multiply the coefficient (3.5) by 10 raised to the power of -4.
3.5 * 10^-4 = 0.00035
2) 7.52 * 10^-3:
This is read as "7.52 times 10 raised to the power of -3." Multiply the coefficient (7.52) by 10 raised to the power of -3.
7.52 * 10^-3 = 0.00752
3) 2.17 * 10^-4:
This is read as "2.17 times 10 raised to the power of -4." Multiply the coefficient (2.17) by 10 raised to the power of -4.
2.17 * 10^-4 = 0.000217
4) 2.815 * 10^4:
This is read as "2.815 times 10 raised to the power of 4." Multiply the coefficient (2.815) by 10 raised to the power of 4.
2.815 * 10^4 = 28150
5) 1.667 * 10^3:
This can be read as "1.667 times 10 raised to the power of 3." Multiply the coefficient (1.667) by 10 raised to the power of 3.
1.667 * 10^3 = 1667
6) 3.17 * 10^9:
This is read as "3.17 times 10 raised to the power of 9." Multiply the coefficient (3.17) by 10 raised to the power of 9.
3.17 * 10^9 = 3170000000
7) 5.34 * 10^-5:
This can be read as "5.34 times 10 raised to the power of -5." Multiply the coefficient (5.34) by 10 raised to the power of -5.
5.34 * 10^-5 = 0.0000534
Remember, when multiplying numbers with the same base (in this case, 10), you can simply add the exponents.