Subtract numbers in scientific notation quick check unit 4 lesson 7
To subtract numbers in scientific notation, you follow these steps:
1. Ensure that the exponents are the same. If they are not, adjust one or both of the numbers so that the exponents match.
2. Subtract the coefficients (the numbers in front of the multiplication sign).
3. Keep the exponent the same for the result.
4. If necessary, simplify the resulting coefficient by moving the decimal point to the left or right to make it a number between 1 and 10.
Example:
Let's subtract 3.5 x 10^4 from 7.2 x 10^3.
1. Adjust the numbers so that the exponents match. In this case, we can multiply 7.2 x 10^3 by 10 to get 72 x 10^3.
2. Subtract the coefficients: 72 - 3.5 = 68.5.
3. Keep the exponent the same: 10^3.
4. Simplify the coefficient: 68.5 is already between 1 and 10, so it remains the same.
The result is 68.5 x 10^3.
To subtract numbers in scientific notation, follow these steps:
Step 1: Make sure the exponents are the same. If they're not, adjust one or both numbers by moving the decimal point and changing the exponent accordingly.
Step 2: Subtract the coefficients (the numbers in front of the "x10^").
Step 3: Keep the exponent the same.
Step 4: If needed, adjust the coefficient to a number between 1 and 10, multiplied or divided by a power of 10, to express the answer in scientific notation.
For example, let's subtract the numbers 2.3x10^4 and 1.2x10^3:
Step 1: The exponents are not the same. Adjust the second number by moving the decimal point one place to the right, and change the exponent to 4: 1.2x10^3 becomes 0.012x10^4.
Step 2: Subtract the coefficients: 2.3 - 0.012 = 2.288.
Step 3: Keep the exponent the same: 10^4.
Step 4: The coefficient is already between 1 and 10, so the answer is 2.288x10^4.
Remember to adjust your answer to scientific notation if necessary.
To subtract numbers in scientific notation, you can follow these steps:
Step 1: Make sure the exponents of the numbers you want to subtract are the same. If they are different, you need to adjust one or both numbers so that the exponents match.
Step 2: Subtract the mantissas (the numbers before the exponential part) while keeping the exponent the same.
Step 3: If necessary, adjust the mantissa to ensure that it is in proper scientific notation, for example, by moving the decimal point to the appropriate position.
Let's illustrate this with an example:
Example: Subtract 3.5 x 10^6 from 8 x 10^5.
Step 1: Since the exponents are different (6 and 5), we need to adjust one of the numbers. We can rewrite 8 x 10^5 as 0.8 x 10^6.
Step 2: Subtract the mantissas: 0.8 - 3.5 = -2.7.
Step 3: Adjust the mantissa to proper scientific notation: -2.7 can be rewritten as -2.7 x 10^0.
Therefore, the subtraction of 3.5 x 10^6 from 8 x 10^5 is approximately -2.7 x 10^0.