2.279 × 10v8 divided by 5.79 × 10v7 show your work
To divide the given values in scientific notation, we can use the following formula:
(a × 10^m) ÷ (b × 10^n) = (a ÷ b) × 10^(m - n)
In this case, we have:
(2.279 × 10^8) ÷ (5.79 × 10^7)
Using the formula, we divide the numbers and subtract the exponents:
= (2.279 ÷ 5.79) × 10^(8 - 7)
= 0.3939 × 10^1
= 3.939 × 10
Therefore, the answer is 3.939 × 10.
To divide two numbers written in scientific notation, you should divide the two decimal numbers and subtract the exponents. Let's apply this to the given numbers:
2.279 × 10^8 divided by 5.79 × 10^7
First, divide the decimal numbers: 2.279 ÷ 5.79 = 0.39375.
Now, subtract the exponents: 10^8 ÷ 10^7 = 10^(8-7) = 10^1 = 10.
So, the final answer is approximately 0.39375 × 10.
However, it is commonly preferred to express the number in scientific notation with only one digit before the decimal point. To do this, we can move the decimal point one place to the left, so the answer becomes:
0.39375 × 10 = 3.9375 × 10^(-1).
Therefore, the final result is 3.9375 × 10^(-1) or 0.39375.
To divide the numbers written in scientific notation, you can follow these steps:
Step 1: Divide the coefficient (the decimal number in front) of the first number by the coefficient of the second number.
2.279 ÷ 5.79 = 0.39326387 (rounded to 8 decimal places)
Step 2: Subtract the exponent of the second number from the exponent of the first number.
8 - 7 = 1
Step 3: Rewrite the result in scientific notation by putting the calculated quotient from step 1 as the coefficient and the exponent from step 2.
0.39326387 × 10^1 (when rounded or approximated)