Mathematics Homework Solutions

Least Common Denominators

Add 5/7 + 2/5 + 1/15.

Fractions as Terminating and Repeating Decimals

What is the decimal notation for the fraction 1/4? How can you show that 1/4 = 25/100? How can you write 5/16 as a decimal? How would you write 1/9 as a decimal?

Mathematical Induction : Proof that Numbers are not Integers

Prove that the following numbers are not integers: 1/2+1/3+.....+1/n, and 1/3+1/5+.....+1/(2n+1) Can you generalize this ?

infinite geometric series.

The unending sum 1/2+1/4+1/8+1/16+...... where each term is a fixed multiple here(1/2) of the preceding term. THe sum of the first two terms is 3/4. Find the sum of the first three terms,four terms,five terms. How many terms must be added to exceed a sum of 99/100? Guess the sum of the geometric series.

Reciprocals

5/8, 3/16, 7/5, 9/10. Find the reciprocals of the given numbers and order them from smallest to largest. What do you observe about the order.

problem solving.

a. Find 12/25 divide by 1/5 in two different ways. Explain your methods. b. Explain, using a diagram, how the following problems illustrate the two interpretations of division: partitive division ans measurement division. i. A road crew repaves 1 1/2 miles of road each day. How long will it take the crew to pave a 3/4 mi ...continues

solving word a word problem

explain how you woul help students understand that 3/4 is the same as 0.75. include in your development a translator to 75/100 and from that form to the decimal from using models fo each translation. also, how would you teach students to compare the fractions3/7 and 5/8 whithout using models or cross multiply to identify which f ...continues

i need them by friday

i need them by friday. When we solve a rational equation, why is it OK to remove the denominator by multiplying both sides by the LCD? Why can you not remove the denominator when simplifying a rational expression? Provide examples to support your discussion. 2. What are extraneous solutions of an equation? ...continues

Probability (Find Mean and Standard Deviation)

In order to test a vaccine, we have to find patients with a certain blood type, that is found in 20% of the population. Model W, the number of people sampled until we have found one with thhis blood type; X, the number sampled to find four with the blood type; and Y, the number with this blood type among 20 people. Find the mean ...continues

Fractions Notations: Multiplication and Division (check)

1. Find the prime factorization of 54. ____a. 2.2.2.3 _x__b. 2.3.3.3 ____c. 2.2.17 ____d. 2.2.3.3 2. Determine which of the following is divisible by 3. ____a. 3106 ____b. 2251 _x__c. 1239 ____d. 1172 3. Determine which of the following is divisible by 8. __x_a. 1336 ____b. 1473 ____c. 1534 ____ ...continues

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