Precalc0001to0005-page18 - count all digits to the right of...

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(Section 0.3: Rounding) 0.3.2 PART B: ROUNDING The “ ± ” symbol means “is approximately ” or “is about .” Example 1 (Rounding Off to a Specified Decimal Place) The number ± ² 3.14159 . rounded off to the nearest … … integer is: 3 … tenth (i.e., to one decimal place) is: 3.1 … hundredth (i.e., to two decimal places) is: 3.14 … thousandth (i.e., to three decimal places) is: 3.142 • We say that the “1” in the third decimal place of has been rounded up to “2.” This is because the digit in the next decimal place is 5 or higher. (Outside the U.S., there may be different rules if that digit is a “5.”) § Consider a number written in decimal form. To count decimal places
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Unformatted text preview: , count all digits to the right of the decimal point, “.” To count significant digits (or figures) , locate the leftmost nonzero digit, and count it and all digits to the right of it. Example 2 (Counting Decimal Places and Significant Digits) Consider: 70.1230 This is written out to four decimal places . We count the four digits after the decimal point. This is written out to six significant digits . We include the two digits to the left of the decimal point. The “0” at the end indicates that we claim accuracy to four decimal places. Writing “70.123” would not have had that effect. We call 70 the integer part of this decimal. §...
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