add numbers in scientific notation practice

Answer 1

Sure! Here are some examples of addition problems involving numbers in scientific notation:

1) (4.5 x 10^3) + (3.2 x 10^4)

To add the numbers, we need to make sure the exponents are the same. In this case, we can rewrite 4.5 x 10^3 as 0.045 x 10^4. Now both numbers have an exponent of 4.

Now, we can add the coefficients: 0.045 + 3.2 = 3.245

The sum is 3.245 x 10^4.

2) (6 x 10^5) + (2.3 x 10^3)

Since the exponents are different, we need to convert one of the numbers to match the exponent of the other. We can rewrite 2.3 x 10^3 as 0.023 x 10^5.

Now, we can add the coefficients: 6 + 0.023 = 6.023

The sum is 6.023 x 10^5.

3) (1.2 x 10^2) + (5.6 x 10^1) + (7.8 x 10^-1)

Since the exponents are different, we need to convert all the numbers to have the same exponent. We can rewrite 5.6 x 10^1 as 0.56 x 10^2, and 7.8 x 10^-1 as 0.078 x 10^2.

Now, we can add the coefficients: 1.2 + 0.56 + 0.078 = 1.858

The sum is 1.858 x 10^2.