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If the signs at the front of the numbers are different then the one with the negative sign is smaller. So the question can be simplified to ordering two numbers that have the same sign. Suppose they are both positive numbers.

If one of them has a smaller exponent (power of 10) than the other, then that number is smaller.

That then leaves two positive numbers with the same exponent. So the only difference is in the mantissa (or the bit before the power of 10). Since the powers of 10 are the same in both cases, the smaller mantissa gives the smaller number.

Going back to the case where both numbers are negative: their ordering is the same as for negative integers, for example. The bigger absolute value gives the smaller negative number.

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Q: How do you order two numbers written in scientific notation?
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Which of the following correctly expresses the number below in scientific notation of 0.0000752?

In order to write a number in scientific form, you first need to divide it by a power of 10 such that the greatest place value is the units. In this case, you can divide by 0.00001 to get 7.52. The next step is to represent this power of 10 next to the number as a multiplication. In this case we used 0.00001, which is 10-5 Thus 0.0000752 in scientific notation is 7.52x10-5


What is 2010000 in scientific notation?

When we convert a long number to scientific notation we need to identify the significant digits.In 2010000 we have only three significant digits (201) as the remaining zeros wont change the value of the number once we place it in scientific notation.The rules of SN (Scientific Notation) state that our number must be between 1-9 so in order to make it between 1-9 we have to move the decimal place to the left.With moving decimals to the left the exponent that will be placed by x 10N will result in a positive number. When we move to the right we will find a negative number.2010000 x 100201000.0 x 10120100.00 x 1022010.000 x 103201.0000 x 10420.10000 x 1052.01 x 106So 2010000 in scientific notation is 2.01 x 106And in Computerese...This can also be expressed as 2.01E6


What are two numbers written in a specific order and enclosed in parentheses called?

That is an ordered number pair. It is normally used to specify a location on a graph, the numbers indicating the values of x and y, in that order.


What are inequalities?

An inequality is actually an equation. It is solved just like an equation, except it has no exact answer. Instead many numbers will satisify the inequality.For this reason the answers on a inequality are plotted on a number line.The answers are also written as a set of numbers.In mathematics, an inequality is a statement about the relative size or order of two objects, or about whether they are the same or not (See also: equality). *The notation a < b means that a is less than b. *The notation a > b means that a is greater than b. ...


What is it called when you arrange numbers from greatest to least?

This is known as arranging the numbers in ascending order.

Related questions

What are the steps of the scientific notation in order?

The steps, in order, will depend on what you wish to do: convert from normal to scientific notation, the converse, perform one of the basic operations of arithmetic on numbers in scientific notation.


How does writing numbers in scientific notation make it easier to compare and order the numbers?

I think because it has little numdres


Why do bookkeepers use scientific notation?

Bookkeepers use scientific notation in order to represent very large or very small numbers in a more concise and manageable format. By using scientific notation, bookkeepers are able to express numbers in terms of a coefficient and a power of 10, making it easier to perform calculations and interpret financial data. Additionally, scientific notation helps in maintaining accuracy and consistency when dealing with numbers of varying magnitudes.


What is 1 billion in scientific notation?

Scientific notation is is a great way to shorten long numbers. When you use scientific notation, you are counting the number of place the decimal has to move in order to get the short form of the number. For 1 billion, it would be 1 x 10^9 because the decimal point had to shift 9 times.


Would scientific notation be useful for numbers that are neither very large nor very small?

They can be, particularly if you are primarily interested in an order of magnitude.


How is magnitude and scientific notaion related?

The exponent in scientific notation is a measure of the order of magnitude.


How does using scientific notation help order extremely large numbers?

it helps by making the number more smallyou can put it in oder from least to greatest this way


How do you write 10.4 in scientific notation?

It took me forever to learn scientific notation because of how the exponents seem backwards. When you move the decimal to the left (towards the negative numbers in a line) your exponent will be positive. When you move the decimal to the right (towards the positive numbers in line) your exponent will be negative. So since we need a number between 1-9 in order have scientific notation we have to move our decimal one place to the left. 10.4 -&gt; 1.04 x 101


What is an order of magnitude?

It usually refers to the relevant power of ten in the scientific notation.


What is scientific notation of 101 and 5?

5 in scientific notation would be 5 x 100. This is because you wouldn't have to move the decimal. With 101, you would have to move the decimal to the left two places in order to convert it to scientific notation. It would be 1.01 x 102.


Is 32.8x10 is in scientific notation?

No, 32.8 x 10 is incorrect. In order for it to be scientific notation, the decimal needs to go to the left one more place. It would be 3.28 X 102.


Why parenthesis are never needed in prefix or postfix notation?

Because there is not an "order of operations" in prefix or postfix notation. The order in which you put the numbers and operators is the order in which calculation occurs.