5/8/2023 0 Comments Power of ten notation![]() In case the number is greater than 1, then the exponent (in the scientific notation) is a positive number. For example, a large number like 50,000,000 can be represented as 5 × 10 7.Ī complicated number like 456,000 can be written as 456 × 10 3 or 4.56 × 10 5, which is a scientific notation.Ī scientific notation of a positive number is to express the number as the product of a number less than 10 and a power of 10. So, scientists use a notation where they write the number in terms of the power of 10. Such numbers can be troublesome to use in their original form. For example, if scientists have to send a spacecraft to the moon, it should travel at least 240,000 miles, which is the distance between Earth and the Moon. Scientists and engineers often encounter very big or small numbers. When the exponent is negative, the value is always less than 1.Īny number raised to the power 0 is one, and ten is no exception. The value is a decimal point followed by as many zeros as one less than the exponent and a 1. In general, we can write the value in decimals by observing the exponent. When the exponent is negative, we can apply the rules of exponent, x -a = 1/x a, and find the value.įor example, 10 -4 = 1/10 4 = 1/10000 = 0.0001 The number of zeros in the product is equal to the exponent. When the exponent is positive, we can write the power in the expanded form and find the product.įor example, 10 4 = 10 × 10 × 10 × 10 = 10,000. The exponent of a power of ten can be a positive or negative integer. The exponent of the power tells us how many times the number is multiplied to itself.įor example, when the exponent is 3, we multiply 10 by itself 3 times.ġ0 3 = 10 × 10 × 10, this is also called the expanded form of the power. Power of any number is an expression that represents repeated multiplication of the number. 10 n is read as “10 to the power of n.” Expanded Form ![]() The exponent can be any integer (positive, negative, or zero).įor example, 10 n has base 10 and exponent n, where n is an integer. The exponent tells us how many times the base is multiplied by itself. ![]()
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