natural numbers. Addition of Negative Integers Consider the addition of (–2) + (–3). The plus sign‚ +‚ tells us to face the positive direction. So‚ to evaluate (–2) + (–3)‚ start at –2‚ face the positive direction and move 3 units backwards. Note: We can write (–2) + (–3) as –2 + –3 Subtracting a Positive Integer from a Negative Integer Consider the value of (–2) – (3). The minus sign‚ –‚ tells us to face the negative direction. So‚ to evaluate (–2) –
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Lecture 7 – Two-Way Slabs Two-way slabs have tension reinforcing spanning in BOTH directions‚ and may take the general form of one of the following: Types of Two-Way Slab Systems Lecture 7 – Page 1 of 13 The following Table may be used to determine minimum thickness of various twoway slabs based on deflection: Minimum Suggested Thickness “h” for Two-Way Slabs Two-Way Slab System: Minimum Thickness h: Flat plate Ln/30 Flat plate with spandrel beams Ln/33 Flat slab Ln/33 Flat slab with spandrel
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THE REAL NUMBER SYSTEM The real number system evolved over time by expanding the notion of what we mean by the word “number.” At first‚ “number” meant something you could count‚ like how many sheep a farmer owns. These are called the natural numbers‚ or sometimes the counting numbers. Natural Numbers or “Counting Numbers” 1‚ 2‚ 3‚ 4‚ 5‚ . . . * The use of three dots at the end of the list is a common mathematical notation to indicate that the list keeps going forever. At some point‚ the
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HOW TO USE A SCIENTIFIC CALCULATOR How to use a Scientific Calculator: entering expression‚ angle measure‚ number formats‚ arithmetic operators‚ positive numbers‚ negative numbers‚ scientific notation‚ parentheses‚ chemical formulae‚ physical constants. Entering expression Type your expression directly onto the input line or copy and paste an expression from another programs. When you finish entering your expression‚ pres ENTER or click [=] button. Spaces are irrelevant‚ for example 54 + 3*2
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with or without their sign. Sometimes we put a positive integer with its sign in parentheses to emphasize that it represents a positive number. Example 1: 5 = +5 = (+5) Negative integers must be written with their sign. We often put a the negative integer with its sign in parentheses to emphasize that it represents a negative number. Example 2: -5 = (-5) The absolute value of a number is its distance on the number line from zero. The absolute value of a number is always positive. Example 3:
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Doctrine of Brahma)‚ written in 628 in Bhinmal. Its 25 chapters contain several unprecedented mathematical results. Brahmagupta was the first to use zero as a number. He gave rules to compute with zero. Brahmagupta used negative numbers and zero for computing. The modern rule that two negative numbers multiplied together equals a positive number first appears in Brahmasputa siddhanta. It is composed in elliptic verse‚ as was common practice in Indian mathematics‚ and consequently has a poetic ring to it
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EXAMPLE: Find each value. π 19π 2π (b) tan − (c) sin (a) cos 3 3 4 Solution: (a) Since 2π 3π − π 3π π π = = − =π− 3 3 3 3 3 the reference number for 2π/3 is π/3 (see Figure (a) below) and the terminal point of 2π/3 is in Quadrant II. Thus cos(2π/3) is negative and (b) The reference number for −π/3 is π/3 (see Figure (b) below).
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than zero are referred to as negative integers. Zero is an integer itself but it is neither positive nor negative. Therefore‚ in early times‚ the concept of zero was the harder to accept than negative numbers as people were aware of the loss and debt which is a negative phenomenon. But historically‚ in many cultures‚ zero was identified before the acceptance of the negative numbers. It leads to a conclusion that if zero is not there than there is no concept of negative numbers. In stock market‚ the
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Infosys Machine Problem MID Week 2 Activity 1 – Review of the past topics. 1. TYPE THE GIVEN REPORT. USE MS EXCEL 2. Save your file and name it mid_mp2_lastname 3. Name the cell H1 as SR RATE 4. Name the cell H2 as JR RATE 5. Name the cell H3 as quota 6. For the data status‚ Senior and Junior only are allowed to use. Use data list command. 7. Calculate the total sales of each employee. 8. Arrange the data in ascending order by name. 9. If the total sale is above 1000 make the font
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CHAPTER 1 – THE REAL NUMBER SYSTEM 1 .1 – THE CONCEPT OF OPPOSITES Any movement from an initial point on the number line going to the right is represented by a positive sign (+) ‚while a movement to the left is represented by a negative sign (-).These numbers are sometimes called directed numbers or signed numbers. e.g. 1.2 - FUNDAMENTAL OPERATIONS ON INTEGERS 1.2.1 – ADDITION OF INTEGERS To add integers with the same sign ‚add without regard to the signs.Then affix the common sign of
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