By Bob Miller
With Bob Miller at your aspect, you by no means need to be clueless approximately math again!Algebra and calculus are difficult on highschool scholars such as you. Professor Bob Miller, with greater than 30 years' instructing adventure, is a grasp at making the advanced easy, and his now-classic sequence of Clueless learn aids has helped tens of hundreds of thousands comprehend the cruel subjects.Bob Miller expands at the past version for simple math and pre-algebra scholars, with new fabric designed to spice up figuring out and grades. Miller breaks open the harder components of arithmetic so that you can grasp the fabrics and ace each attempt.
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Extra resources for Bob Miller's Basic Math and Pre-Algebra for the Clueless
I’m just fooling. Almost no one, including me, knows the answer. This is how we do it. STEP 1 Factor all denominators into primes: 100 = 2 × 2 × (5 × 5) 48 = (2 × 2 × 2 × 2) × 3 108 = 2 × 2 × (3 × 3 × 3) 30 = 2 × 3 × 5 STEP 2 The magical phrase is that the LCD (LCM) is the product of the most number of times a prime appears in any ONE denominator. 39 40 B O B M I L L E R ’ S B A S I C M AT H A N D P R E A L G E B R A 2 appears twice in 100, 4 times in 48, twice in 108, and once in 30. Four 2s are necessary.
10a3b4c5)(−2a8b9c100)(7a2b3c). Determine the sign first: 2 − signs; answer is +. The rest of the numerical coefficient (10)(2)(7) = 140; a3 + 8 + 2b4 + 9 + 3c5 + 100 + 1. Answer: +140a13b16c106. Notice, big numbers do NOT make hard problems. EXAMPLE 16— (−3b2)4(−b6)3(4b)3 ᎏᎏ . (2b5)5 (−3b2)(−3b2)(−3b2)(−3b2)(−b6)(−b6)(−b6)(4b)(4b)(4b) ᎏᎏᎏᎏᎏᎏ (2b5)(2b5)(2b5)(2b5)(2b5) Seven − signs, an odd number. Answer is −. Arithmetic Trick Always divide (cancel) first. It makes the work shorter or much, much shorter and easier.
If the first number is to the hundredths place and the second number is to the thousandths place, and you multiply 1⁄100 × 1/1,000, you get 1/100,000, five places. That’s all!!!! 004. 4 ෆ2 ෆ0 ෆ. 004ͤ1 ۍෆ2 ۍ Answer is 30,855. Did you ever want to know why we want to divide by a whole number? It’s easier!!!! 004 1,000 4 Multiply the bottom by 1000—three places to the right; you must multiply the top by 1000 since 1000/1000 = 1 keeps the fraction the same value. That’s all. Decimals to Fractions and Fractions to Decimals Let’s finish up .
Bob Miller's Basic Math and Pre-Algebra for the Clueless by Bob Miller