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Name Date Class LESSON 72 Challenge Using Scientific Notation to Make Comparisons The average distance between Earth and the sun is 93,000,000 miles. The average distance between Jupiter and the sun

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How to fill out 7-2 using scientific notation

How to fill out 7-2 using scientific notation:

01

First, we need to understand what scientific notation is. Scientific notation is a way of expressing numbers that are very large or very small. It is written in the form a x 10^b, where "a" is a number greater than or equal to 1 but less than 10, and "b" is an integer.

02

To fill out 7-2 using scientific notation, we can start by representing the number 7 in scientific notation. Since 7 is already in the form a x 10^b, we can write it as 7 x 10^0.

03

Next, we need to represent the number 2 in scientific notation. Since 2 is less than 10, we can write it as 2 x 10^0.

04

Now, to subtract 2 from 7, we can subtract the numbers in front of the "x" (the "a" values) and keep the same exponent. So, 7 - 2 becomes 7 x 10^0 - 2 x 10^0, which simplifies to 5 x 10^0.

05

Finally, we can write the result, 5 x 10^0, in its decimal form. Since any number raised to the power of 0 is equal to 1, we have 5 x 1, which is simply 5.

Who needs 7-2 using scientific notation?

01

Scientists: Scientists often work with very large or very small numbers in their research or experiments. Using scientific notation allows them to express these numbers concisely and accurately.

02

Mathematicians: Mathematicians frequently use scientific notation to simplify calculations and represent numbers in a more manageable form.

03

Engineers: Engineers deal with complex calculations and measurements, where scientific notation can help them represent values efficiently and with precision.

04

Students: Students studying math or science subjects may need to learn and apply scientific notation for various calculations, including subtracting numbers like 7-2. Understanding and using scientific notation can enhance their problem-solving skills and improve accuracy in their calculations.

In summary, knowing how to fill out 7-2 using scientific notation can be useful for scientists, mathematicians, engineers, and students who encounter large or small numbers in their work or studies.

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