Why is it important to use a power-of-ten notation (i.e., scientific or engineering) when expressing very large or very small numbers? Because its easier to see and recognize how small or big the numbers are. With a power-of-ten notation, any number, no matter how large or small, can be expressed as a decimal number multiplied by a power-of-ten. 1.Ĭan a decimal number be multiplied by a power of ten? For this reason we use a power-of-ten notation. Working with numbers of this magnitude, both large and small, can be cumbersome and prone to error. For example, 100 can be written as 10×10 = 102. The exponent tells you how many times ten is to be multiplied by iteslf to equal the number you wish to write. In powers of ten notation, large numbers are written using ten to a power, or exponent. How do you write the power of ten notation? Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0 for example, 106 is written 1,000,000. How do you explain powers of 10?Ī power of 10 is as many number 10s as indicated by the exponent multiplied together. The general form of a number in scientific notation is: N x 10x, which in words reads: N times 10 raised to the power of x, where x is called the exponent, or power of 10. Scientific notation is such a method, and in science it’s as imperative as elementary school multiplication tables. What is the power of 10 in scientific notation? Powers of 10 are used to estimate and reduce the size of large numbers to make them easier to work with. This is the abbreviated form of 300 000 000 metres per second. In science, we refer to the speed of light as: 3 × 108 m/s. For example the age of the Earth (see above) can be written as 4.6 X 109 years.
Scientific notation allows us to reduce the number of zeros that we see while still keeping track of them for us.
Why is scientific notation useful when we talk about very large and very small numbers? This notation uses a coefficient (a number between 1 and 10) and a power of ten sufficient for the actual number. Scientific notation allows us to express very large or very small numbers in a convenient way. Why is the power of 10 notation important?
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