Divide in scientific notation practice unit 4 lesson 9
Sure, here are a few practice problems involving dividing numbers in scientific notation:
1. (3.2 x 10^4) / (8 x 10^2)
To divide, we divide the two numbers and subtract the exponents: (3.2 / 8) x 10^(4-2) = 0.4 x 10^2 = 4 x 10^1
2. (5 x 10^6) / (2 x 10^3)
Dividing the numbers and subtracting the exponents: (5 / 2) x 10^(6-3) = 2.5 x 10^3
3. (9 x 10^8) / (3 x 10^4)
Dividing the numbers and subtracting the exponents: (9 / 3) x 10^(8-4) = 3 x 10^4
Remember to perform the division with the numbers first, then subtract the exponents to simplify the result.
To divide numbers written in scientific notation, you can follow these steps:
Step 1: Write down the two numbers in scientific notation format.
Step 2: Divide the coefficient (the number before the multiplication sign) of the first number by the coefficient of the second number.
Step 3: Subtract the exponent of the second number from the exponent of the first number. This will give you the new exponent for the result.
Step 4: Multiply the quotient from Step 2 and the result from Step 3 together.
Step 5: If necessary, simplify the result by converting it back to scientific notation format.
Let's go through an example to practice:
Example: Divide 6.4 x 10^4 by 2.5 x 10^2.
Step 1: Write down the two numbers in scientific notation format:
First number = 6.4 x 10^4
Second number = 2.5 x 10^2
Step 2: Divide the coefficients:
6.4 / 2.5 = 2.56
Step 3: Subtract the exponents:
10^4 - 10^2 = 10^2
Step 4: Multiply the quotient and the result from Step 3 together:
2.56 x 10^2 = 256
Step 5: The result, 256, does not need to be simplified further because it is already in standard decimal notation. Therefore, the final answer is 256.
I hope this helps with your practice! Let me know if you have any other questions.
To practice dividing in scientific notation, you can follow these steps:
Step 1: Review the rules for dividing numbers in scientific notation:
- To divide two numbers in scientific notation, divide their base numbers and subtract their exponents.
Step 2: Find two numbers written in scientific notation that you want to divide. For example, let's use:
- The dividend: 3.6 x 10^4
- The divisor: 1.2 x 10^2
Step 3: Divide the base numbers:
- Divide 3.6 by 1.2: 3.6 ÷ 1.2 = 3
Step 4: Subtract the exponents:
- Subtract the exponent of the divisor from the exponent of the dividend: 4 - 2 = 2
Step 5: Rewrite the result in scientific notation:
- Combine the quotient from step 3 with the exponent from step 4: 3 x 10^2
Therefore, 3.6 x 10^4 divided by 1.2 x 10^2 equals 3 x 10^2 in scientific notation.
Remember to continue practicing with different sets of numbers to improve your skills in dividing numbers in scientific notation.