solve and write in scientific notation 1.64x10^3+1.4x10^4+7.5x10^3
1.64x10^3 = 1640
1.4x10^4 = 14000
7.5x10^3 = 7500
now add them up, then convert back to SN
1.64*10^3+0.14*10^3+7.5*10^3 = 76.78*10^3 = 7.678*10^4.
To solve the given expression and write it in scientific notation, let's first add the numbers together:
1.64x10^3 + 1.4x10^4 + 7.5x10^3
In order to add or subtract numbers written in scientific notation, we need to ensure that the exponents of 10 are the same. In this case, we need to convert 1.4x10^4 to 14x10^3:
1.64x10^3 + 14x10^3 + 7.5x10^3
Now, we can add the numbers together:
1.64x10^3 + 14x10^3 + 7.5x10^3 = 23.14x10^3
Next, we can express this sum in scientific notation by moving the decimal point to the right until there is only one digit to the left of the decimal point. Each time we move the decimal point to the right, we increase the exponent of 10 by 1. In this case, we need to move the decimal point two places to the left:
23.14x10^3 = 2.314x10^4
Therefore, the sum 1.64x10^3 + 1.4x10^4 + 7.5x10^3 can be written in scientific notation as 2.314x10^4.