By John James Milne

This Elibron Classics version is a facsimile reprint of a 1905 variation by way of Macmillan and Co., Ltd., London.

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Any number added to itself 4 times can be written as 4 times that number. This is awkward to express using words, but it is easy to express using variables: If a is any number, then a + a + a + a = 4 × a. The multiplication symbol is usually omitted, and we write 4a instead of 4 × a. Whenever you see a number and a variable next to each other with nothing in between them, you should imagine a multiplication symbol between them. The expression 3a means the same thing as “3 times a,” or 3 × a. The number in front of the variable is called the coefficient of the variable, and it represents how many times the variable is added to itself.

18 3. −32 2. 12 4. 120 Lesson 2-5 Review 1. −12 3. −3 2. 18 4. 4 Lesson 2-6 Review 1. 288 3. 296 2. 564 4. 1,357 This page intentionally left blank 1 2 3 4 5 6 7 8 9 10 11 12 Operations With Fractions Real numbers belong to one of two camps. A real number can either be written as a ratio of two integers, or it can’t. A number that can be written as a ratio of two integers is called a rational number. A number that cannot be written as a ratio of two integers is called an irrational number. In this chapter we will focus on rational numbers.

Operations With Fractions 57 Lesson 3-2 Review Evaluate the following: 1. Convert to a mixed number. 2. Convert to an improper fraction. 3. Reduce . 4. Find the product . 5. Find the product . 6. Find the product . Lesson 3-3: Dividing Fractions As you go through life you will find that there are plenty of opportunities to divide one integer by another integer. For example, suppose you and 3 friends order a pizza. You agreed to divide the pie evenly. Suppose that the pizza is cut into 8 slices.

### Solutions of Weekly Problem Papers by John James Milne

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