1. For each pair of integers m and n, use the division algorithm to divide m by n. Write the result in the form m = q'n + r where 0 ≤r

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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1. For each pair of integers m and n, use the division algorithm to divide m by
n. Write the result in the form m = q⋅n + r where 0 < r < n.
a. m = 32 and n = 9
b. m 62 and n = 7
=
c. m -45 and n = 11
d. m
3 and n = 8
2. For each pair of integers a and b, use the Euclidean Algorithm to find the
GCD(a, b). Then use Theorem 92 to find the LCM(a, b)
a. a = 48 and b = 54
b. a = 330 and b = 156
c. a=1188 and b = 385
3. For each pair of integers m and d, calculate m mod d. Show your work!
a. m 43 and d = 9
b. m 50 and d = 7
c. m 28 and d = 5
d. m = 30 and d = 2
Transcribed Image Text:1. For each pair of integers m and n, use the division algorithm to divide m by n. Write the result in the form m = q⋅n + r where 0 < r < n. a. m = 32 and n = 9 b. m 62 and n = 7 = c. m -45 and n = 11 d. m 3 and n = 8 2. For each pair of integers a and b, use the Euclidean Algorithm to find the GCD(a, b). Then use Theorem 92 to find the LCM(a, b) a. a = 48 and b = 54 b. a = 330 and b = 156 c. a=1188 and b = 385 3. For each pair of integers m and d, calculate m mod d. Show your work! a. m 43 and d = 9 b. m 50 and d = 7 c. m 28 and d = 5 d. m = 30 and d = 2
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