Jessika Sobanski's Visual Math: See How Math Makes Sense PDF

By Jessika Sobanski

ISBN-10: 1576854043

ISBN-13: 9781576854044

Visible Math has been designed to permit rookies to "see" why math is sensible. by way of combining logical math innovations with images, formerly doubtful photographs will fade and math will all of sudden click on for you. photographs, graphs, and diagrams assist you comprehend math questions within the components of quantity ideas and homes, fractions and decimals, ratios and proportions, percents, algebra, geometry, and lots more and plenty extra. Designed specially for college kids who've trouble with traditional math principles, this ebook offers step-by step directions with images that will help you remedy math difficulties.

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Sample text

They are not integers because they involve fractions and decimals. −13 and −555 are integers (in addition to being real numbers). Notice that −13 is also prime. It cannot go into the center circle labeled “prime” because those prime numbers are also whole numbers. −13 is not a whole number because it is negative. 1, 6, and 8,700 are real numbers, integers, and whole numbers. The center circle represents numbers that are real, integers, whole, and prime. 2, 17, and 79 can be classified as such. number concepts and properties 47 Exercise 2: Simplify the following.

32 • 34 • 3 = 32 • 34 • 31 = 32+4+1 = 37 = 2,187 710 ᎏᎏ = 710−5 = 75 = 16,807 75 (23b7)2 = 23•2b7•2 = 26b14 = 64b14 52 ÷ 5−2 = 52 − (−2) = 52+2 = 54 = 625 42 • 25 = (22)2 • 25 = 24 • 25 = 24+5 = 29 = 512 4-2 ÷ 4−5 = 4−2 − (−5) = 4−2 +5 = 43 = 64 Exercise 3: The expression of 6,871,235 in expanded notation is (6 ؋ 1,000,000) + (8 ؋ 100,000) + (7 ؋ 10,000) + (1 ؋ 1,000) + (2 ؋ 100) + (3 ؋ 10) + (5 ؋ 1). Exercise 4: Complete the chart below. exponential form rewrite as a radical 3 125ᎏ3ᎏ 1 ͙ 125 ෆ 1 ͙ 121 ෆ 121ᎏ2ᎏ 48 visual math =5 2 ͙121 ෆ 6 64ᎏ6ᎏ 1 ͙64 ෆ −8ᎏ3ᎏ ͙−8 ෆ 1 solve 3 = 11 =2 = −2 Exercise 5: 23 − 7 × (5 − 8) ÷ 3 Parentheses 23 − 7 × (5 − 8) ÷ 3 23 − 7 × (−3) ÷ 3 23 − 7 × −3 ÷ 3 Exponents 23 − 7 × −3 ÷ 3 8 − 7 × −3 ÷ 3 Multiplication/Division You do the multiplication first because it appears first .

100 plus −2 times 30 plus −2 times −2 equals 100 + (−2 • 30) + (−2 • −2 ), or 100 − 60 + 4 = 44. You may have noticed that if given 100 − 2(30 − 2), it would be easier to just start inside the parentheses to yield 100 − 2(28). In this case, it’s a viable option. But what if you had an unknown? Let’s say you had 12 − (x − 1). ” So, 12 − (x − 1) = 12 + −1(x + −1). ] 42 visual math Next, apply the distributive property . . 12 plus −1 times x plus −1 times −1 equals 12 + −1x + (−1 (−1), or 12 − x + 1.

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Visual Math: See How Math Makes Sense by Jessika Sobanski


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