What is 0.0025 in exponential notation?
Express 0.0025 in scientific notation ; (A) 2.0x10^-3.
Another example is 2.7 * 10^-3, which is the number 0.0027 written in scientific notation.
\[0.00125 = 1.25 \times {10^{ - 3}}\] in scientific notation. Therefore the solution for the expression is \[0.00125 = 1.25 \times {10^{ - 3}}\]. Note: Scientific notation does is it shifts your numbers. So the first non zero digit is a whole number and the rest are expressed as decimals.
Answer and Explanation: In scientific notation 0.005 is 5 × 10 − 3 .
0.002 = 2 × 0.001 = 2 × 10−3.
To finish the conversion of 0.0021 to scientific notation: 0.0021=2.1×10−3.
Explanation: With scienitifc e-notation you will have the it written as 3.5e−3 , it can also be read as 3.5⋅10−3 .
Hence, 0.0015 is the standard notation of the number \[1.5 \times {10^{ - 3}}\].
When numbers are put into scientific notation, the number should only have 1 whole number and the other digits are in the decimal system, that's why 0.0052 in scientific notation is 5.2 × 10−3 .
The number in standard scientific notation is 2.5×10−1 .
What is 0.000125 in scientific notation?
Standard Form - Decimal Numbers (0.000125). Scientific - Scientific Notation (1.25e-4).
To write 0.00045 in scientific notation, write 4.5 x 10-4 The expression “4.5 x 10-4” is saying, “write 4.5 and move the decimal place four places to the left giving 0.00045.” Or you can think of it as saying 4.5 / 104 or 4.5 / 10000.
Expert-Verified Answer
The standard form of 0.000007 will be 7 × 10^-6.
To get from 7.0 to 0.00007, we move our decimal point five places to the left. Therefore, our exponent is negative five. As 7.0 is the same as seven, 0.00007 written in scientific notation is seven multiplied by 10 to the power of negative five.
Answer and Explanation: The decimal number 0.002 in words is two thousandths.
The scientific notation form of 0.0012 is 1.2 × 10 − 3 .
Thus, $6.5 \times {10^{ - 4}}$ is the scientific notation form of \[0.00065\] number. Note:While solving this type of problem, one important thing to keep in mind is the direction in which we move the decimal. If we move the decimal in the right direction, the exponent value will be negative.
To change 0.0002 to scientific notation, move the decimal to the right 4 places so that you get 2. The exponent on the base 10 will be -4 because the decimal was moved to the right 4 places. So 0.0002 in scientific notation is 2×10−4.
In. scientific notation 0.0004 is written as 4.0 x 10-4. 5. For each power of 10, we move the decimal point one place to the left.
⇒0.00001=10−5.
What is 0.009 in exponential form?
In this case that would be 9 , and we have to move the decimal to the left 3 times to get 0.009 . So our final answer is 9⋅10−3 .
The letter a stands for a decimal number, and the letter b stands for an exponent, or power, of 10. For example, the number 300 is written in scientific notation as 3.0 × 102. The number 0.03 is written as 3.0 × 10-2.
Answer: The scientific notation of 0.0009 = 9 × 10-4.
0.016 in scientific notation is 1.6 × 10 − 2 .
As we need to shift the decimal point two spaces to the right, that means we want to multiply 0.016 by 100. This means that 1.6 will be the first part of our scientific notation. The 100 will be the exponent of 10 we would need to convert 1.6 back to 0.016.
| Words | Decimal Representation | Scientific Notation |
|---|---|---|
| one hundred-thousandth | 0.00001 | 1 x 10-5 |
| one ten-thousandth | 0.0001 | 1 x 10-4 |
| one thousandth | 0.001 | 1 x 10-3 |
| one hundredth | 0.01 | 1 x 10-2 |
The correct answer is 7.20×10⁻³. The given decimal number, 0.00720 can be converted to exponential notation by shifting the decimal point 3 places to the right side for making the number between 1 and 10.
Putting these ideas together, we see that the number 0.000052 written in scientific notation is 5.2 × 10 − 5 .
Factorization of 721 is 1 x 7 x 103. The exponent of 1, 7, and 103 is 1.
Solution: 25% as a fraction is 1/4.
1 divided by 4 equals 0.25. So 1/4 is equal to 0.25.
How do you write 4x4x4x4 in exponential form?
Exponents represent the times any number should be multiplied with itself. For instance, 4x4x4 can be written as 43. In this case, the number 3 is the exponent while 4 is the base.
Exponential numbers take the form an, where a is multiplied by itself n times. A simple example is 8=23=2×2×2. In exponential notation, a is termed the base while n is termed the power or exponent or index. Scientific notation is a specific example of exponential numbers, 10 is almost always used as the base number.
Hence, we can write the scientific notation of 0.00085 as 8.5 × 10 − 4 .
What is 0.00057 in scientific notation? 5.7×10⁻⁴ or, equivalently, 5.7e-4.
Let us take another example, to write 0.000045 in standard form. So, $0.000045=4.5\times {{10}^{-5}}$, it is ${{10}^{-5}}$ because the decimal point has been moved 5 paces to the right to get the required standard form.
The exponent tells you how many times to multiply your decimal by itself. If the exponent is 3, then you multiply the decimal by itself 3 times. So 2.1^3 = 2.1 * 2.1 * 2.1. Then, to get your answer, you go ahead with the multiplication.
The following examples may help to illustrate how scientific notation works, 10 can be written as 1 x 10 1, 0.1 as 1 x 10 -1 , 100 as 1 x 10 2 , and 0.01 as 1 x 10 -2 .
The given number is 0.0003. The decimal is shifted to the right side to get a meaningful full number such as 3.0. The shifted number of decimal places is written as the raised to the power of 10 and moved to the right side which means it is taken as negative. Thus, the scientific notation is 3.0 × 10 − 4 .
Example: Scientific notation for 0.008 will be 8 × 0.001 or 8 × 10-3.
If the given number is smaller than 1, then the decimal point has to move to the right, so the power of 10 will be negative. Example: 0.006 = 6 × 0.001 = 6 × 10-3 is in scientific notation.
What is 0.007 in exponential notation?
So that's why 0.007 is expressed as 7.0 times 10 to the minus 3 in scientific notation.
0.0000004 written in scientific notation is 4.0 × 10 –7.
7/10000 is a decimal fraction written in the decimal form as 0.0007.
To write 0,0045 in scientific notation, we will have to move the decimal point three point to right, which literally means multiplying by 1000=103 . Hence in scientific notation 0.0045=4.5×10−3 (note that as we have moved decimal three point to right we are multiplying by 10−3 .
The exponential form is an easier way of writing repeated multiplication involving base and exponents. For example, we can write 5 × 5 × 5 × 5 as 54 in the exponential form, where 5 is the base and 4 is the power. In this form, the power represents the number of times we are multiplying the base by itself.
Decimal notation is the representation of a fraction using the base 10 along with a decimal point. In other words, a number is represented with a decimal point according to the decimal place value.
If n is a positive integer and x is any real number, then xn corresponds to repeated multiplication xn=x×x×⋯×x⏟n times. We can call this “x raised to the power of n,” “x to the power of n,” or simply “x to the n.” Here, x is the base and n is the exponent or the power.
| Decimal | Expanded Form |
|---|---|
| 2.83 | 2 + 810 + 3100 |
| 27.9 | 20 + 7 + 910 |
| 742.292 | 700 + 40 + 2 + 210 + 9100 + 21000 |
| 48.036 | 40 + 8 + 010 + 3100 + 61000 |