Evaluation of Scientific Notation and Simple Interest Calculation

In this video, we will solve two problems. Part A involves dividing numbers in scientific notation, and Part B is a simple interest calculation. Let's start with part A.

Wait, the expression is three point six nine times ten to the fifth power, divided by one point six four times ten to the negative third power. Let's rewrite this as a fraction.

To make the division easier without a calculator, let's eliminate the decimals by multiplying both the numerator and the denominator by one hundred.

Now, let's separate the numeric constants from the powers of ten.

Note that three hundred and sixty-nine and one hundred and sixty-four share a common factor of forty-one. Three hundred sixty-nine is nine times forty-one, and one hundred sixty-four is four times forty-one.

Nine divided by four is exactly two point two five.

For the powers of ten, we subtract the exponents when dividing. Five minus negative three equals eight.

This gives us ten to the eighth power. Our final answer for part A is in standard form.

Now let's move on to part B. A man invested twenty thousand Naira in Bank A and twenty-five thousand Naira in Bank B. We need to find the interest rate y percent.