3.2x10^4 +1.95 x10^4. show your work
To add these two numbers together, we need to make sure their exponents are the same.
Given: 3.2 x 10^4 and 1.95 x 10^4
First, we can rewrite them as:
3.2 x 10^4 = 32,000
1.95 x 10^4 = 19,500
Now, we can add them together:
32,000 + 19,500 = 51,500
Thus, the sum of 3.2 x 10^4 and 1.95 x 10^4 is 51,500.
To add two numbers written in scientific notation, we need to make sure the exponents are the same.
3.2 x 10^4 + 1.95 x 10^4
Step 1: Align the decimal points of the numbers.
3.2 x 10^4
1.95 x 10^4
Step 2: Since the exponents are the same, we can add the numbers in front of the "x 10^4" part.
3.2 + 1.95 = 5.15
Step 3: Write the sum with the common exponent.
5.15 x 10^4
To solve the expression 3.2x10^4 + 1.95x10^4, we need to first perform the addition of the coefficients and keep the same exponent.
Step 1: Add the coefficients: 3.2 + 1.95 = 5.15
Step 2: Keep the same exponent: Since both terms have an exponent of 10^4, the result will have the same exponent as well.
So, the sum of 3.2x10^4 + 1.95x10^4 is 5.15x10^4.
Now, let's breakdown the steps of scientific notation to better understand how to evaluate the expression.
1. Multiply the decimal number by the power of 10 indicated by the exponent.
In this case, for 3.2 x 10^4, we move the decimal point four places to the right:
3.2 x 10^4 = 32,000
2. Repeat the same process for the second term: 1.95 x 10^4 = 19,500
3. Add the two results together: 32,000 + 19,500 = 51,500
4. Finally, represent the result back in scientific notation by determining the new coefficient and exponent:
The new coefficient is 5.15 (dropping any unnecessary zeros) and the exponent remains 10^4.
Thus, 3.2 x 10^4 + 1.95 x 10^4 simplifies to 5.15 x 10^4.