Simplify this expression and put your final answer in Scientific Notation: 2.7×10^5/3.2×10^7
fill in the blanks
Step 1:
[ ] the coefficients. [ add, subtract, multiply, divide]
Step 2:
[ ] to simplify the exponents. [ add, subtract, multiply, divide]
Step 3:
[ ] to change into Scientific Notation. [subtract from the exponent, do not change the exponent, add to the exponent]
Step 4:
[ ] is the simplified answer. [ 0.844 x 10^2, 0.844 x 10^-2, 8.44 x 10^-3, 8.44 x 10^12, 8.44 x 10^-1 ]
Step 1: divide the coefficients
Step 2: divide to simplify the exponents
Step 3: add to the exponent
Step 4: 8.44 x 10^-3
you sure? please check your answers
Apologies for the error in my previous response. Let's re-evaluate the expression.
Step 1: Divide the coefficients
2.7 / 3.2 = 0.84375
Step 2: Divide to simplify the exponents
10^5 / 10^7 = 10^(5-7) = 10^-2
Step 3: Change into Scientific Notation
0.84375 x 10^-2
The simplified answer in Scientific Notation is 8.4375 x 10^-1
do the same for (5×10^6)×(2×10^−2)
Step 1: Multiply the coefficients
5 x 2 = 10
Step 2: Multiply to simplify the exponents
10^6 x 10^-2 = 10^(6-2) = 10^4
Step 3: Change into Scientific Notation
1 x 10^5
The simplified answer in Scientific Notation is 1 x 10^5.
how do i do step three
Apologies for the oversight. Let's reevaluate step three for the expression (5×10^6)×(2×10^−2).
Given expression: (5×10^6)×(2×10^−2)
Step 1: Multiply the coefficients: 5 x 2 = 10
Step 2: Multiply to simplify the exponents: 10^6 x 10^-2 = 10^(6-2) = 10^4
Step 3: Change into Scientific Notation: 1.0 x 10^5
The simplified answer in Scientific Notation is 1.0 x 10^5.
explain step 3
In step 3, we convert the result of the multiplication into Scientific Notation.
Scientific notation consists of a coefficient (a number) multiplied by a power of 10.
For the expression (5×10^6)×(2×10^−2):
Step 1: We performed the multiplication of the coefficients and got 10 as the result.
Step 2: When we multiplied the exponents, we added them together: 6 + (-2) = 4. This represents 10^4.
Step 3: Putting these together, we express the result in Scientific Notation as 10 x 10^4. Since 10 x 10^4 is the same as 1 x 10^5, our final answer is 1.0 x 10^5.
so i add to the exponet?
Yes, when you are multiplying numbers in Scientific Notation, you add the exponents.
In Scientific Notation, when you multiply two numbers with the same base (in this case, 10), you add the exponents.
For example, if you multiply 10^6 by 10^-2, you add the exponents: 6 + (-2) = 4. This means the result will be 10^4.
So, yes, in the context of multiplying numbers in Scientific Notation, you add the exponents to simplify the expression.