I'm having some trouble solving this problem:
32x10^2 / (4x10^2)^3
Is it possible to have a negative value in scientific notation?
sure
-3x10^3 = -3000
Exponents can also be negative:
4x10^(-2) = 4/10^2 = 4/100
1.32•10^-5
To solve this problem, we need to remember the rules of exponents and apply the order of operations (PEMDAS).
Let's break down the steps:
Step 1: Start by simplifying the numerator and denominator separately.
- In the numerator, 32 multiplied by 10 squared (10^2) equals 3,200.
- In the denominator, 4 multiplied by 10 squared (10^2) equals 400.
Step 2: Apply the exponent to the entire denominator by Cubing it (raising it to the power of 3). So, (400)^3 equals 64,000,000.
Step 3: Divide the numerator by the denominator.
- 3,200 divided by 64,000,000 equals 0.00005.
So, the simplified form of the expression is 0.00005.
Regarding your second question, scientific notation is used to represent very large or very small numbers. The number is written as a number between 1 and 10 multiplied by a power of 10. Negative exponents indicate small numbers. For example, 0.00005 in scientific notation would be written as 5 x 10^-5. This means moving the decimal point five places to the left. So, yes, it is possible to have a negative exponent in scientific notation when the number is very small.