5.79 × 10v7 - 1.496 × 10v8 show your work
To perform this calculation, we need to multiply 5.79 by 10^7 and subtract 1.496 multiplied by 10^8.
5.79 × 10^7 = 57,900,000
1.496 × 10^8 = 149,600,000
Now, subtracting the two numbers:
57,900,000 - 149,600,000 = -91,700,000
Therefore, 5.79 × 10^7 - 1.496 × 10^8 equals -91,700,000.
To subtract numbers written in scientific notation, you need to make sure the exponents are the same.
Step 1: Rewrite the numbers with the same exponent.
5.79 × 10^7 - 1.496 × 10^8.
Step 2: Subtract the coefficients.
5.79 - 1.496.
Step 3: Calculate the difference.
5.79 - 1.496 = 4.294.
Step 4: Keep the same exponent.
Since 5.79 × 10^7 had the smaller exponent (7), the answer will also have 10^7 as its exponent.
Step 5: Write the answer in scientific notation.
4.294 × 10^7.
To subtract the two numbers in scientific notation, we need to make sure they have the same exponent. Let's rewrite the numbers with the same exponent:
5.79 × 10^7 - 1.496 × 10^8
Now, we can subtract the decimal parts and keep the common exponent:
(5.79 - 1.496) × 10^7
Calculating the decimal part:
5.79 - 1.496 = 4.294
Now, we have the final answer:
4.294 × 10^7