By R. Frazer, et al.,
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Additional resources for Elementary Matrices and some Applns to Dynamics and Diff Eqns
Example text
439 → 400. The tens digit is 3, so round down. b. 562 → 600. The tens digit is 6, so round up. c. 2,950 → 3,000. The tens digit is 5, so round up. d. 109,974 → 110,000. The tens digit is 7, so round up, rolling over all the 9s. h Focus on the thousands and hundreds digits to round to the nearest thousand. a. 5,280 → 5,000. The hundreds digit is 2, so round down. b. 77,777 → 78,000. The hundreds digit is 7, so round up. c. 1,234,567 → 1,235,000. The hundreds digit is 5, so round up. d. 1,899,999 → 1,900,000.
7. Negate 7 by attaching a negative sign to it: –7. A. 9. The number 9 is already positive, so the absolute value of 9 is also 9. Q. Find the negation of –3. Q. What number does |–17| equal? A. 3. The negation of –3 is – (–3). The two adjacent minus signs cancel out, which gives you 3. A. 17. Because –17 is negative, the absolute value of –17 is 17. Q. Q. What’s the negation of 7 – 12? Solve this absolute value problem: –|9 – 13| = ? A. 5. First do the subtraction, which tells you 7 – 12 = –5.
0 d. 10 + 4 e. 15 – 7 f. 9 – 10 e. |1 – 10| = ? f. |0| = ? Solve It Solve It Adding with Negative Numbers When you understand what negative numbers mean, you can add them just like the positive numbers you’re used to. The number line can help make sense of this. You can turn every problem into a sequence of ups and downs, as I show you in Chapter 1. When you’re adding on the number line, starting with a negative number isn’t much different from starting with a positive number. Adding a negative number is the same as subtracting a positive number — that is, go down (to the left) on the number line.