1. (3.0x10^4) divided by (6.2x10^1)
= 5x10^2?
2. (4.7x10^-3) divided by (9x10^-4)
= 5x10^-6
3. (3.0x10^4) times (6.2x10^1)
=1.9x10^6
4. (4.7x10^-3) divided by (9x10^-4)
=5x10^-6
5. (5.1x10^2) divided by (3x10^4)
1. You're allowed 2 significant figures and you've used only one. So you've rounded too much.
2. exponent is not right.
3. exponnt wrong
4. same as 1? duplicate?
5. no answer.
should be 1.7E-2
To solve the equation (5.1x10^2) divided by (3x10^4), you can follow these steps:
Step 1: Divide the coefficients: 5.1 divided by 3 = 1.7
Step 2: Divide the powers of 10: 10^2 divided by 10^4 = 10^-2 (subtract the exponents)
Step 3: Combine the coefficient and the power of 10: 1.7x10^-2
So, (5.1x10^2) divided by (3x10^4) is equal to 1.7x10^-2.
To solve these arithmetic calculations involving numbers written in scientific notation, we need to follow a few steps:
Step 1: Convert the numbers to standard notation.
To convert a number from scientific notation to standard notation, you need to multiply the coefficient (the number in front of the power of 10) by 10 raised to the exponent.
Step 2: Perform the required operation. (Addition, subtraction, multiplication, or division.)
Step 3: Convert the result back to scientific notation if necessary.
Let's solve each question:
1. (3.0x10^4) divided by (6.2x10^1)
Step 1: Convert both numbers to standard notation.
3.0x10^4 = 3.0 * 10^4 = 30,000
6.2x10^1 = 6.2 * 10^1 = 62
Step 2: Perform division: 30,000 ÷ 62 = 483.871
Step 3: The result does not need to be written in scientific notation, so the final answer is 483.871.
2. (4.7x10^-3) divided by (9x10^-4)
Step 1: Convert both numbers to standard notation.
4.7x10^-3 = 4.7 * 10^-3 = 0.0047
9x10^-4 = 9 * 10^-4 = 0.0009
Step 2: Perform division: 0.0047 ÷ 0.0009 = 5.222
Step 3: Convert the result to scientific notation: 5.222 = 5.222x10^0
However, to match the format given in the question, we need to shift the decimal point to have only one non-zero digit to its left. So, we can rewrite it as 5.222x10^0 = 0.5222x10^1 = 5.222x10^-1 = 5x10^-1 = 0.5
So, the final answer is 0.5.
3. (3.0x10^4) times (6.2x10^1)
Step 1: Convert both numbers to standard notation.
3.0x10^4 = 3.0 * 10^4 = 30,000
6.2x10^1 = 6.2 * 10^1 = 62
Step 2: Perform multiplication: 30,000 * 62 = 1,860,000
Step 3: Convert the result to scientific notation: 1,860,000 = 1.86x10^6
So, the final answer is 1.86x10^6.
4. (4.7x10^-3) divided by (9x10^-4)
This question is the same as question 2, and we have already solved it. The answer is 0.5.
5. (5.1x10^2) divided by (3x10^4)
Step 1: Convert both numbers to standard notation.
5.1x10^2 = 5.1 * 10^2 = 510
3x10^4 = 3 * 10^4 = 30,000
Step 2: Perform division: 510 ÷ 30,000 = 0.017
Step 3: Convert the result to scientific notation: 0.017 = 1.7x10^-2
So, the final answer is 1.7x10^-2.