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How do you addsubtractmultiply and divide written in scientific notation?
Wiki User
∙ 11y ago
First you have to set it to the same power of 10. Then it can easily be added or subtracted.
To multiply, you just multiply the given values and add the exponent.
To divide, you divide the numbers and subtract the exponent.
Wiki User
∙ 11y ago
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Can a percent be written in scientific notation?
Yes a percent can be written in scientific notation. In fact, a percentage is already almost scientific notation. % means x10-2 So 7% is 7x10-2 For double digit percentages you would need to divide the number by 10, and take away one from the power. So 25% is 2.5x10-3 For any other numbers, you can convert the percentage to a decimal by dividing it by 100. So 584.6% is 5.846. Once you have the decimal you can convert it to scientific notation the standard way.
How do write 635000 in scientific notation?
To write a number in scientific notation you first need to divide the number by a power of 10 such that the answer has units as the greatest place value. In this case, you can divide by 100,000 to get 6.35. The next step is to represent this power of 10 next to the number as a multiplication. We use 100,000 which is 105. Thus, 635,000 in scientific notation is 6.35x105
What is 658000 in scientific notation?
To use scientific notation you divide the number by 10 until it is expressed as a number between 1 and 10, then indicate the power of 10 you divided by. In this case we divide by 10 five times to get 6.58 so the answer is 6.58x10^5
How do you translate 0.036 into scientific notation?
To convert a decimal to scientific notation, you first need to divide the number by a power of ten such that the result has units as the greatest place value. In this case, you would divide by 0.01 to get 3.6 The next step is to take the amount you divided by (0.01) and express it as a power of 10 (10-2) Thus, 0.036 in scientific notation is 3.6x10-2
What is the scientific notation for 247?
To express a number in scientific notation you first have to divide that number by a power of 10 such that the greatest place value digit is units. In this case we can divide by 100 to get 2.47. The next step is to take the power of 10 we used (in this case 100, or 102) and write it along side the number as a multiplication. Thus, 247 in scientific notation is 2.47x102
Can a percent be written in scientific notation?
Yes a percent can be written in scientific notation. In fact, a percentage is already almost scientific notation. % means x10-2 So 7% is 7x10-2 For double digit percentages you would need to divide the number by 10, and take away one from the power. So 25% is 2.5x10-3 For any other numbers, you can convert the percentage to a decimal by dividing it by 100. So 584.6% is 5.846. Once you have the decimal you can convert it to scientific notation the standard way.
How do write 635000 in scientific notation?
To write a number in scientific notation you first need to divide the number by a power of 10 such that the answer has units as the greatest place value. In this case, you can divide by 100,000 to get 6.35. The next step is to represent this power of 10 next to the number as a multiplication. We use 100,000 which is 105. Thus, 635,000 in scientific notation is 6.35x105
What is 658000 in scientific notation?
To use scientific notation you divide the number by 10 until it is expressed as a number between 1 and 10, then indicate the power of 10 you divided by. In this case we divide by 10 five times to get 6.58 so the answer is 6.58x10^5
How do you translate 0.036 into scientific notation?
To convert a decimal to scientific notation, you first need to divide the number by a power of ten such that the result has units as the greatest place value. In this case, you would divide by 0.01 to get 3.6 The next step is to take the amount you divided by (0.01) and express it as a power of 10 (10-2) Thus, 0.036 in scientific notation is 3.6x10-2
What is the scientific notation for 247?
To express a number in scientific notation you first have to divide that number by a power of 10 such that the greatest place value digit is units. In this case we can divide by 100 to get 2.47. The next step is to take the power of 10 we used (in this case 100, or 102) and write it along side the number as a multiplication. Thus, 247 in scientific notation is 2.47x102
How is a number expressed in scientific notation?
Scientific notation is when you multiply a number that is between 1 and 10 to 10 to a power. for example: I want to write 3,946,000,000 as a scientific notation. What I do is I divide the number by 10 over and over until the number is 3.946 then how many times I divided 3,946,000,000 by 10 is the exponent of 10 which you multiply by 3.946 and the Scientific notation of 3,946,000,000 is 3.946 * 109.
What are rules of adding subtracting dividing multiplying scientific notation?
Addition and Subtraction in Scientific NotationA number written in scientific notation is written as the product of a number between 1 and 10 and a number that is a power of 10. That is, it is written as a quantity whose coefficient is between 1 and 10 and whose base is 10.Addition and SubtractionOne of the properties of quantities with exponents is that numbers with exponents can be added and subtracted only when they have the same base and exponent. Since all numbers in scientific notation have the same base (10), we need only worry about the exponents. To be added or subtracted, two numbers in scientific notation must be manipulated so that their bases have the same exponent--this will ensure that corresponding digits in their coefficients have the same place value.Multiplying a number by another number with the same base is equivalent to multiplying their coefficients and adding their exponents. Therefore, if we want to add two quantities written in scientific notation whose exponents do not match, we can simply write one of the powers of 10 as the product of two smaller powers of 10 , one of which agrees with the other term.Alternately, if we want to preserve the exponent of the term with the larger power of 10 , we can simultaneously multiply and divide the other term by a power of 10 , applying the rule for multiplication of exponents in one case and dividing the coefficient in the other. It is this procedure that we outline below. Once the numbers have the same base and exponents, we can add or subtract their coefficients.Here are the steps to adding or subtracting numbers in scientific notation :1. Determine the number by which to increase the smaller exponent by so it is equal to the larger exponent.2. Increase the smaller exponent by this number and move the decimal point of the number with the smaller exponent to the left the same number of places. (i.e. divide by the appropriate power of 10 .)3. Add or subtract the new coefficients.4. If the answer is not in scientific notation (i.e. if the coefficient is not between 1 and 10) convert it to scientific notation.Multiplication and Division in Scientific Notation Multiplication and DivisionQuantities with exponents can be multiplied and divided easily if they have the same base. Since all number in scientific notation have base 10 , we can always multiply them and divide them.To multiply two numbers in scientific notation, multiply their coefficients and add their exponents. To divide two numbers in scientific notation, divide their coefficients and subtract their exponents. In either case, the answer must be converted to scientific notation.Here are the steps to multiply two numbers in scientific notation:1. Multiply the coefficients--round to the number of significant figures in the coefficient with the smallest number of significant figures.2. Add the exponents.3. Convert the result to scientific notation.Here are the steps to divide two numbers in scientific notation:1. Divide the coefficients--round to the number of significant figures in the coefficient with the smallest number of significant figures.2. Subtract the exponents.3. Convert the result to scientific notation.
What is 420 000 cm in scientific notation?
To convert a number to scientific notation, you first need to divide that number by a power of 10 such that the answer has units as the greatest place value. In this case, you can divide by 100,000 to give 4.2 The next step is to display the power of 10 you used alongside this number as a multiplication. We used 100,000 which is the 5th power of 10 or 105. Thus, 420,000 in scientific notation is: 4.2x105
How do write scientific notation?
Scientific notation is a number between 1 and 10, multiplied by a power of 10. For instance, if we had 384, the first step would be to divide it by 10 until we have a number between 1 and 10. In this case, we can divide by 100 to give 3.84 Then we put the power of 10 we divided by next to 3.84 as a multiplication. 100 is 102. Thus, 384 in scientific notation is 3.84 x 102
What is 156 percent Written in decimal notation?
To convert 156% to decimal notation divide by 100: 156% ÷ 100 = 1.56
What are the rules in adding subtracting multiplying dividing scientific notation?
Addition and Subtraction in Scientific NotationA number written in scientific notation is written as the product of a number between 1 and 10 and a number that is a power of 10 . That is, it is written as a quantity whose coefficient is between 1 and 10 and whose base is 10 .Addition and SubtractionOne of the properties of quantities with exponents is that numbers with exponents can be added and subtracted only when they have the same base and exponent. Since all numbers in scientific notation have the same base (10), we need only worry about the exponents. To be added or subtracted, two numbers in scientific notation must be manipulated so that their bases have the same exponent--this will ensure that corresponding digits in their coefficients have the same place value.Multiplying a number by another number with the same base is equivalent to multiplying their coefficients and adding their exponents. Therefore, if we want to add two quantities written in scientific notation whose exponents do not match, we can simply write one of the powers of 10 as the product of two smaller powers of 10 , one of which agrees with the other term.Alternately, if we want to preserve the exponent of the term with the larger power of 10 , we can simultaneously multiply and divide the other term by a power of 10 , applying the rule for multiplication of exponents in one case and dividing the coefficient in the other. It is this procedure that we outline below. Once the numbers have the same base and exponents, we can add or subtract their coefficients.Here are the steps to adding or subtracting numbers in scientific notation :1.Determine the number by which to increase the smaller exponent by so it is equal to the larger exponent.2.Increase the smaller exponent by this number and move the decimal point of the number with the smaller exponent to the left the same number of places. (i.e. divide by the appropriate power of 10 .)3.Add or subtract the new coefficients.4.If the answer is not in scientific notation (i.e. if the coefficient is not between 1 and 10 ) convert it to scientific notation.Multiplication and Division in Scientific NotationMultiplication and DivisionQuantities with exponents can be multiplied and divided easily if they have the same base. Since all number in scientific notation have base 10 , we can always multiply them and divide them.To multiply two numbers in scientific notation, multiply their coefficients and add their exponents. To divide two numbers in scientific notation, divide their coefficients and subtract their exponents. In either case, the answer must be converted to scientific notation.Here are the steps to multiply two numbers in scientific notation:1.Multiply the coefficients--round to the number of significant figures in the coefficient with the smallest number of significant figures.2.Add the exponents.3.Convert the result to scientific notation.Here are the steps to divide two numbers in scientific notation:1.Divide the coefficients--round to the number of significant figures in the coefficient with the smallest number of significant figures.2.Subtract the exponents.3.Convert the result to scientific notation.
How do you write 108.2 million in scientific notation?
In order to write a number in scientific notation, you first need to divide it by a power of 10 such that the greatest place value digit is the units. In this case we can divide by 100,000,000 to get 1.082. The next step is to express the power of 10 used next to the number as a multiplication. In this case we used 100,000,000 which is the 8th power of 10 or 108. Therefore, 108.2 million in scientific notation is 1.082x108
