Basic Math and Pre-Algebra (Idiot's Guides) by Carolyn Wheater

By Carolyn Wheater

Idiot's courses: simple math and Pre-Algebra is helping readers wake up to hurry and relearn the first innovations of arithmetic, geometry, and pre-algebra. content material contains simple math operations (addition, subtraction, multiplication, division); be aware difficulties; elements and multiples; fractions, decimals, and percents; weights and measures; graphs; statistics and likelihood; and algebra and geometry fundamentals. a convention difficulties part can be incorporated to aid toughen the mathematics strategies. This ebook is perfect for someone desiring a refresher which will go front assessments, reminiscent of the GED®, ASVAB, and Praxis®.

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DEFINITION The result of a division is called a quotient. The number you divide by is the divisor, and the number you’re dividing is called the dividend. Dividend z divisor = quotient. In the equation 12 z 3 = 4, 12 is the dividend, 3 is the divisor, and 4 is the quotient. Just as knowing your addition facts helps with subtraction, knowing your multiplication facts, or times tables, will help with division. And just as you used the place value system to deal with larger numbers in other operations, a process called long division will use a similar strategy.

189 52 Part 1: The World of Numbers Using Exponents Some prime factorizations are easy to write. The prime factorization of 42 is 2 v 3 v 7, which is short and clear. However, the prime factorization of 128 is another story. 128 = 2 v 2 v 2 v 2 v 2 v 2 v 2. It uses easy numbers, but it uses so many of them that it can get confusing. Is that six 2s or seven? It’s easy to make a mistake. That’s why you may want to use exponents to condense the prime factorization and make it easier to understand.

You know 10 is not a multiple of 3, so 45,829 is not a multiple of 3. The same idea will work for 9. If you add the digits and get a multiple of 9, the original number is divisible by 9. Here’s a chart of the tests you might want to remember. Tests for Divisibility Multiple of: Test Example 2 Ends in 2, 4, 6, 8, or 0. 45,938 is a multiple of 2 because it ends in 8. 673 is not a multiple of 2. 3 Sum of the digits is divisible by 3. 9,348 is a multiple of 3 because 9 + 3 + 4 + 8 = 24, which is a multiple of 3.

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