Calculate 6.25×106−4.73×106 . Express your answer in scientific notation to 2 decimal places
To subtract these numbers in scientific notation, we need to first ensure that the exponents are the same.
Given:
6.25 × 10^6
4.73 × 10^6
Since the exponents are the same (6), we can subtract the coefficients:
6.25 - 4.73 = 1.52
Then, we keep the exponent of 10 as 6.
Therefore, 6.25 × 10^6 − 4.73 × 10^6 is equal to 1.52 × 10^6 in scientific notation.
To subtract the numbers in scientific notation, we need to have the same exponent.
So, let's rewrite the numbers with the same exponent:
6.25 × 10^6 becomes 625 × 10^4
4.73 × 10^6 becomes 473 × 10^4
Now, subtracting these numbers:
625 × 10^4 - 473 × 10^4 = (625 - 473) × 10^4 = 152 × 10^4
To express this in scientific notation with 2 decimal places, we can write:
152 × 10^4 = 1.52 × 10^5
To calculate 6.25×10^6 - 4.73×10^6, you can follow these steps:
Step 1: Subtract the coefficients:
6.25 - 4.73 = 1.52
Step 2: Keep the same power of 10:
Since both terms have the same power of 10 (6), we can keep it for the result.
Step 3: Express the result in scientific notation:
The result of 1.52 with a power of 10^6 becomes 1.52×10^6.
Therefore, the answer in scientific notation to two decimal places is: 1.52×10^6.