Round off 345,678 to the nearest thousand. If the number (the one to the right) is 4 or less, leave your underlined place value as it is and change all the other numbers to its right to zeros. If it is 5 or higher, round your underlined place value up 1 and change all the other numbers to its right to zeros. Identify the number (the one to the right). Look to the immediate right (one place) of your underlined place value. Underline the place value to which you're rounding off. Notice that in these the digit is multiplied times its place value: 1's, 10's, 100's, and so on. These last two are the more common forms of expanded notation: one without exponents, one with exponents. Sometimes, numbers are written in expanded notation to point out the place value of each digit. Notice how the number 675 fits into the place value grid. Because the number system is based on powers of 10 (10 0 = 1, 10 1 = 10, 10 2 = 10 × 10 = 100, 10 3 = 10 × 10 × 10 = 1,000, and so on), each place is a progressive power of ten, as shown in Table 1. For instance, in the number 675, the 6 is in the hundreds place, the 7 is in the tens place, and the 5 is in the ones place. Our number system is a place value system that is, each place is assigned a different value. Quiz: Variables and Algebraic Expressions.Variables Algebraic Expressions and Simple Equations.Quiz: Arithmetic Progressions and Geometric Progressions.Quiz: Calculating Measurements of Basic Figures.Calculating Measurements of Basic Figures.Customary System, Metric System, and Converting Units of Measure Rationals (Signed Numbers Including Fractions).Quiz: Rationals (Signed Numbers Including Fractions).Quiz: Changing Percents, Decimals, and Fractions, and Important Equivalents.Changing Percents, Decimals, and Fractions.Quiz: Changing Fractions to Decimals, Changing Terminating Decimals to Fractions, and Changing Infinite Repeating Decimals to Fractions.Changing Infinite Repeating Decimals to Fractions.Changing Terminating Decimals to Fractions.Quiz: Simplifying Fractions and Complex Fractions.
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Grouping Symbols and Order of Operations.Quiz: Properties of Basic Mathematical Operations.Properties of Basic Mathematical Operations.Quiz: Ways to Show Multiplication and Division, Multiplying and Dividing by Zero, and Common Math Symbols.