![]() Solution: George received 7 × 10⁴ or 70,000 votesĬlearly, Melissa won the election. ![]() The total number of votes cast for each candidate is: ![]() Solution: When multiplying the number by the power of 10, we move the decimal points to the right side.Įxample 3: George and Melissa are contending for the position of mayor. So, we can write the given number as 7th power of ten or 10 7.Įxample 2: Find the product of 5.65 × 10⁴. Solution: There are 7 zeros in 10,000,000. A power of 10 is any of the integer powers of the number ten in other words, ten multiplied by itself a certain number of times. Solved ExamplesĮxample 1: Write 10,000,000 as a power of 10. In mathematics, a power of 10 is any of the integer powers of the number ten in other words, ten multiplied by itself a certain number of times (when the. For example, a small number like 0.00005 can be written as 5 × 10 -5. If the number is less than 1, then the exponent will be a negative number. In case the number is greater than 1, then the exponent (in the scientific notation) is a positive number. Ten to the second power is a 1 followed by two zeroes, or 100. Ten to the zero power is 10 divided by 10, or 1 with no zeroes behind it, which equals one. 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. Ten is an easy number to visualize with powers, as you can think of the exponent number as being the number of zeros to put behind the one. So, scientists use a notation where they write the number in terms of the power of 10. The Powers of 10 In base-10, each digit of a number can have an integer value ranging from 0 to 9 (10 possibilities) depending on its position. This can be expressed as 1010 and this means 10 is multiplied 10 times. Such numbers can be troublesome to use in their original form. 10 to the power of 10 means an expression in which 10 is the base and 10 is the exponent. 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. The decimal point was moved 7 places to the right to form the number 5.Power of any number is an expression that represents repeated multiplication of the number. Notice that N needn't to be a natural, but can be any of the positive reals. Move the decimal point to the right of 0.00000056 up to 7 places. If you want to write a number as a power of ten it's easy to use just the definition of logarithm: take a number N that you want to write as a power of ten then for definition you have N10log (N) where the base of the logarithm is obviously 10. Convert 0.00000056 into scientific notation.Ī1. ![]() This decimal part is known as the mantissa.Ī number is expressed in Scientific notation as a multiplication of the coefficient and the power of ten. The coefficient has a whole part that is left of the decimal point and the decimal part which is right of the decimal point. There are two parts of scientific notation, First part is a coefficient between 1 and less than 10 and the second part is the power of ten. power n 1 ability or capacity to do something 2 often pl a specific ability, capacity, or faculty 3 political, financial, social, etc. Definition of Prefixes, the process in which the term in Scientific Notation is expressed by giving a proper name to i. Scientific notation is a way to express very large and very small numbers. We can study more about Scientific Notation in this math article. In this topic, we will learn about scientific notation, scientific notation rules, the standard form of scientific notation, the importance of scientific notation, and positive and negative exponents. ![]()
0 Comments
Leave a Reply. |
Details
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |