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State the name of the property illustrated. 6+(2+7)=(6+2)+7
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Ch. P - Fundamental Concepts of Algebra
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
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TOC.tableOfContents
- Ch. P - Fundamental Concepts of Algebra311
- Ch. 1 - Equations and Inequalities398
- Ch. 2 - Functions and Graphs407
- Ch. 3 - Polynomial and Rational Functions306
- Ch. 4 - Exponential and Logarithmic Functions247
- Ch. 5 - Systems of Equations and Inequalities173
- Ch. 6 - Matrices and Determinants143
- Ch. 7 - Conic Sections124
- Ch. 8 - Sequences, Induction, and Probability251
Capitolo 1, Problema 78
In Exercises 77–86, write each number in scientific notation. 64,000
Guida verificata passo dopo passo1
Step 1: Understand the concept of scientific notation. Scientific notation is a way to express very large or very small numbers as a product of a number between 1 and 10 and a power of 10. The general form is: , where and is an integer.
Step 2: Identify the given number, which is 64,000. To convert this number into scientific notation, we need to rewrite it as a product of a number between 1 and 10 and a power of 10.
Step 3: Move the decimal point in 64,000 to create a number between 1 and 10. The decimal point in 64,000 is initially at the end of the number (64,000.0). Move the decimal point 4 places to the left, resulting in 6.4.
Step 4: Count the number of places the decimal point was moved. Since the decimal point was moved 4 places to the left, the exponent of 10 will be 4.
Step 5: Combine the number and the power of 10 to write the number in scientific notation. The result is .
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Scientific Notation
Scientific notation is a way of expressing numbers that are too large or too small in a compact form. It is written as the product of a number between 1 and 10 and a power of ten. For example, the number 64,000 can be expressed as 6.4 x 10^4 in scientific notation.
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Powers of Ten
Powers of ten are used in scientific notation to indicate how many times a number should be multiplied or divided by ten. Each power corresponds to a place value in the decimal system. For instance, 10^4 means 10 multiplied by itself four times, which equals 10,000.
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Significant Figures
Significant figures are the digits in a number that contribute to its precision. In scientific notation, only the digits in the coefficient (the number between 1 and 10) are considered significant. For example, in 6.4 x 10^4, the '6' and '4' are significant figures, indicating the precision of the measurement.
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