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Archive for April, 2013

Any Math Questions

Wednesday, April 3rd, 2013

Any Math Questions?

If you are reading Math Overboard (Basic Math for Adults), you’re invited to send me any questions about any topic in basic math. I’ll either direct you to the appropriate section of the book, or explain how to resolve your problem. Just send a reply to this blog.

Meanwhile, here are some errors and improvements to Part 1.

Errors and Improvements (Part 1) (See below for Part 2)

Page 8, Solution 1.4, Step 3. Second line should read “carrying over now to the hundreds position.”

Page 48. Solution 2.3 doesn’t explain how to borrow 1 from 0. To do this, first replace 0 by 9, and second, borrow 1 from the next digit (unless it’s also 0, in which case you repeat this step). For example, 203 – 75 becomes 19(13) – 75 = 128 (write this out to see what I mean).

Page 64, 3 lines below Box (2.15). The new sentence should start “Also, in Box (2.15),…”

Page 97, line 8. Replace “1 x a = 1” by “1 x a = a”

Page 101, line 6. Replace “45/99 = 5/9.” by “45/99 =5/11.”

Page 118, Solution3.8. This should read “A = (1/2) x 4.0 cm x 2.1 cm = 4.2 cm2.”

Page 130. Solution 3.14. Replace “and P = $5.00. This gives… square foot” by “and P = $5.00 per quart. This gives k = C/AP = .036 quarts per square foot”

Page 137, Problem 3.22. First sentence should include “conversion table on page 135”.

Page 140, Solution 3.23, line 2. Replace “5200 ft/mile” by “5280 ft/mile”, so that the answer is 6.8 mi/hr.

Page 181, line -7. Replace “discussed in Sec. 2.5.” by “listed on Page 97.”

Page 199, line -9. Shift the numbers 1331 to the right slightly, to line up properly in this table.

Page 206, Solution 4.54. Add: (b)  (u + v)p =   (Sigma x = 0 to p) (p! / x!(p-x)!) up – x vx .

Page 263, One line below Eq. (5.10). Replace “Eq. 5.8” by “Eq. 5.9”.

Page 394, Solution 3(b) should be (3x – 2y)/6.

Errors and Improvements (Part 2)

Page 454, Solution 8.12, line 2: Replace “Eq. 8.8” by “Eq. 8.1”

Page 460, Diagram: The smallest angle should be 15.6 degrees.

Page 479, line 4: Replace “Eq. 8.26” by “Eq. 8.27”

Page 483, Section 9.1, line 5: Replace “Section 4.7” by “Section 4.8”

Page 495, Problem 9.7, line 1: Break the line after “ln 1/2,” and start new line with “ln(1/3)”

Page 526, Example – Solution: Replace “We have … 22.5 degrees” by “We have tan 2 Theta = B/(A-C) = -1, so that 2 Theta = -45 degrees, or Theta = -22.5 degrees” Also, in the displayed equation, replace (4.7) by (2.24) and (.65) by (1.34). In the next sentence, replace “4.7 and 0.65” by “2.24 and 1.34”

Page 5.29, line -11: Replace “Section 4.8” by “Section 4.9”

Page 5.42, Solution 10.27, line -2: Replace “it can be” by “It can be”

Page 5.47, three lines above Problem 11.1: Replace “Section 4.6” by “Section 4.7”

Page 590. Solution 11.30, line -7: Replace “= .411” by “= .589”

Ditto, line -2: Replace “= .500 … .719” by “= .500 + .589 – .192 = .897”

Page 591, line -7: Replace “should result” by “should result in E occurring.”

Page 594, line -5: Replace “-n + k (k = 0,2, …, 2n)” by “-n + 2k (k = 0,1, …, n)”

Ditto, line -4: Replace “-n + k” by “-n + 2k”

Page 637, Solution 12.20, line -3: Replace “Yogi Berra” by “Any runner”

Page 653, line -5: Replace “wrong if Alpha = Beta, for” by “wrong, for if Alpha = Beta”

Page 683, line -7: Replace “Section 10.1” by “Section 9.1”

Page 717, line 1: Replace “x = 233.1 degrees” by ” x = 4.069″

Page 719 1(b): Replace “1/2 – i” by “-1/2 – i”

Ditto, 7: Replace “:Theta = 67 1/2 degrees” by “Theta = 67 1/2 degrees or -22 1/2 degrees”

Page 723, 7(b), line 3: Replace “t = 15/29” by “t = 23/29”

Ditto, line 4: Replace “therefore … /29)” by “therefore r(23/29) = (28/29,46/29)”

Page 727, line 1: Break line before “(repeating)”

Page 727, line -2: Replace “n(n-1)/3” by “n(n-1)/2”.