Adding and Subtracting Integers Brain-Pop
... we learned that every integer has an OPPOSITE. When you combine OPPOSITES, they equal 0. They cancel. (Represent the following equations using integer chips.) ...
... we learned that every integer has an OPPOSITE. When you combine OPPOSITES, they equal 0. They cancel. (Represent the following equations using integer chips.) ...
real numbers - Study Hall Educational Foundation
... a)65 and 170 b)1264 and 82 c)2165 and 272 Q2. If the HCF of 45 and 210 is expressible in the form 210x + 45 * 5, find x. Q3.Find the HCF d of 117 and65. Also find integers x and y such that d= 117x = 65y. Q4.Find the largest positive integer that will divide 398, 436 and 542 leaving remainder 7, 11 ...
... a)65 and 170 b)1264 and 82 c)2165 and 272 Q2. If the HCF of 45 and 210 is expressible in the form 210x + 45 * 5, find x. Q3.Find the HCF d of 117 and65. Also find integers x and y such that d= 117x = 65y. Q4.Find the largest positive integer that will divide 398, 436 and 542 leaving remainder 7, 11 ...
Double-precision float numbers S
... - Note that for a sum with leading 0’s, we have to shift it to the left. - Also, after every shift, make sure that there is no overflow or underflow 4. We have space for only 4 significand digits, so round the sum: ...
... - Note that for a sum with leading 0’s, we have to shift it to the left. - Also, after every shift, make sure that there is no overflow or underflow 4. We have space for only 4 significand digits, so round the sum: ...
Floating Point Representation
... • A binary number can be expressed in scientific notation is several ways like notation is several ways like ...
... • A binary number can be expressed in scientific notation is several ways like notation is several ways like ...
Critical Thinking Questions
... There are a whole lot of zeros in the above numbers that are not really needed. As another example, consider the affect of changing units: 21,500 meters = 21.5 kilometers 0.00582 meters = 5.82 millimeters Notice that the zeros in “21,500 meters” and in “0.00582 meters” are not really needed when the ...
... There are a whole lot of zeros in the above numbers that are not really needed. As another example, consider the affect of changing units: 21,500 meters = 21.5 kilometers 0.00582 meters = 5.82 millimeters Notice that the zeros in “21,500 meters” and in “0.00582 meters” are not really needed when the ...
ChemQuest #7 File - Oakland Schools Moodle
... There are a whole lot of zeros in the above numbers that are not really needed. As another example, consider the affect of changing units: 21,500 meters = 21.5 kilometers 0.00582 meters = 5.82 millimeters Notice that the zeros in “21,500 meters” and in “0.00582 meters” are not really needed when the ...
... There are a whole lot of zeros in the above numbers that are not really needed. As another example, consider the affect of changing units: 21,500 meters = 21.5 kilometers 0.00582 meters = 5.82 millimeters Notice that the zeros in “21,500 meters” and in “0.00582 meters” are not really needed when the ...
Critical Thinking Questions
... There are a whole lot of zeros in the above numbers that are not really needed. As another example, consider the affect of changing units: 21,500 meters = 21.5 kilometers 0.00582 meters = 5.82 millimeters Notice that the zeros in “21,500 meters” and in “0.00582 meters” are not really needed when the ...
... There are a whole lot of zeros in the above numbers that are not really needed. As another example, consider the affect of changing units: 21,500 meters = 21.5 kilometers 0.00582 meters = 5.82 millimeters Notice that the zeros in “21,500 meters” and in “0.00582 meters” are not really needed when the ...
Powerpoint - EED Courses
... In engineering and science, a number representing a measurement must indicate the precision to which the measured value is known. The precision of a device is limited by the finest division on the scale. Example A meterstick, with millimeter divisions as the smallest divisions, can measure a length ...
... In engineering and science, a number representing a measurement must indicate the precision to which the measured value is known. The precision of a device is limited by the finest division on the scale. Example A meterstick, with millimeter divisions as the smallest divisions, can measure a length ...
MATLAB Array Operations
... In engineering and science, a number representing a measurement must indicate the precision to which the measured value is known. The precision of a device is limited by the finest division on the scale. Example A meterstick, with millimeter divisions as the smallest divisions, can measure a length ...
... In engineering and science, a number representing a measurement must indicate the precision to which the measured value is known. The precision of a device is limited by the finest division on the scale. Example A meterstick, with millimeter divisions as the smallest divisions, can measure a length ...
Significant Figures Worksheet
... The first, is when the zeros are after the decimal point, then they count. For example, 1.000 has 4 sign fig's, because the zeros aren't necessary as place holders. The second is when the zeros are before the decimal point, and if this happens then the zeros don't count. For instance, 96,000 has 2 s ...
... The first, is when the zeros are after the decimal point, then they count. For example, 1.000 has 4 sign fig's, because the zeros aren't necessary as place holders. The second is when the zeros are before the decimal point, and if this happens then the zeros don't count. For instance, 96,000 has 2 s ...
Numbers and Data Analysis
... method of taking the measurement (called systematic errors). Example: Measuring the length 12.35 ± 0.01 cm with a centimeter rule. You are certain of the measurement of 12 cm, and 3 mm. You believe the true value of the last digit to lie about halfway between 3 mm and 4 mm and are confident in that ...
... method of taking the measurement (called systematic errors). Example: Measuring the length 12.35 ± 0.01 cm with a centimeter rule. You are certain of the measurement of 12 cm, and 3 mm. You believe the true value of the last digit to lie about halfway between 3 mm and 4 mm and are confident in that ...
Classwork #13 Name: Review Advisor: DO NOT FREAK OUT! This
... 1) Multiply the numbers like you would in any regular multiplication question by ignoring the decimals at first. 2) Count how many places over from the right the decimal is in the first number we multiplied. 3) Count how many places over from the right the decimal is in the second number we multipli ...
... 1) Multiply the numbers like you would in any regular multiplication question by ignoring the decimals at first. 2) Count how many places over from the right the decimal is in the first number we multiplied. 3) Count how many places over from the right the decimal is in the second number we multipli ...
Fun with Floats
... Until there we’ve retrieved the exact input we’ve injected into the Float. Are Float operations exact after all? Hem, no, we only played with fractions having a power of 2 as denominator and a few bits in numerator. If one of these conditions is not met, we won’t find any exact Float representation ...
... Until there we’ve retrieved the exact input we’ve injected into the Float. Are Float operations exact after all? Hem, no, we only played with fractions having a power of 2 as denominator and a few bits in numerator. If one of these conditions is not met, we won’t find any exact Float representation ...
prealgebra-review concepts
... The test of reasonableness comes very much into play in word problems. For example, questions asking for length, dollars, or time should never give negative answers because those things would not make sense if they were negative (what is -3 feet?). Also, think about what the answer should be. If I i ...
... The test of reasonableness comes very much into play in word problems. For example, questions asking for length, dollars, or time should never give negative answers because those things would not make sense if they were negative (what is -3 feet?). Also, think about what the answer should be. If I i ...
A New Range-Reduction Algorithm
... a calculator with 10-digit decimal arithmetic (assuming rounding to the nearest, and replacing π/2 by the nearest exactly-representable number), then one gets −1.0 × 10−6 . Hence, such a poor range-reduction would lead to a computed value of cos(x) equal to −1.0 × 10−6 , whereas the correct value is ...
... a calculator with 10-digit decimal arithmetic (assuming rounding to the nearest, and replacing π/2 by the nearest exactly-representable number), then one gets −1.0 × 10−6 . Hence, such a poor range-reduction would lead to a computed value of cos(x) equal to −1.0 × 10−6 , whereas the correct value is ...
CS271 - Classes
... • Allows programmer to fine-tune numerical behavior • Not all FPUs implement all options • Most programming languages and FP libraries just use defaults • Trade-off between hardware complexity, performance, and ...
... • Allows programmer to fine-tune numerical behavior • Not all FPUs implement all options • Most programming languages and FP libraries just use defaults • Trade-off between hardware complexity, performance, and ...
Thinking Mathematically by Robert Blitzer
... If there is one case where for which a conjecture/hypothesis does not work, the conjecture is false. That one case is called a counterexample. ...
... If there is one case where for which a conjecture/hypothesis does not work, the conjecture is false. That one case is called a counterexample. ...
Chapter 1 - Cloudfront.net
... 4. If the number is greater than one (1), then all zeros to the right of the decimal point are significant. 457.12 5 significant figures 400.00 5 significant figures 5. If the number is less than one, then only zeros that are at the end of the number and between non-zero digits are significant. 0.01 ...
... 4. If the number is greater than one (1), then all zeros to the right of the decimal point are significant. 457.12 5 significant figures 400.00 5 significant figures 5. If the number is less than one, then only zeros that are at the end of the number and between non-zero digits are significant. 0.01 ...
View Sample Lesson - Core Focus on Math
... Write a proposal for a kid-friendly video game. Players can earn integer point values based on specific situations in the game. Design a flyer giving the details of your game, including the following: ◆ the theme ◆ the characters ◆ all the different ways participants can earn positive integers ...
... Write a proposal for a kid-friendly video game. Players can earn integer point values based on specific situations in the game. Design a flyer giving the details of your game, including the following: ◆ the theme ◆ the characters ◆ all the different ways participants can earn positive integers ...
topic 3 guided notes
... The divisor MUST become a whole number. To make 3.2 a whole number you multiply 3.2 by 10. This makes 3.2 equal to 32-you are moving the decimal place over by 1 place. If you multiply the number outside the “house” (the divisor) by 10, you MUST multiply the number inside the “house” (the dividend) b ...
... The divisor MUST become a whole number. To make 3.2 a whole number you multiply 3.2 by 10. This makes 3.2 equal to 32-you are moving the decimal place over by 1 place. If you multiply the number outside the “house” (the divisor) by 10, you MUST multiply the number inside the “house” (the dividend) b ...
3.5 x 10 3
... – Quantitative observations – numbers or amounts that describe the object (examples: 3 inches wide, 2.5 grams, 98.6 F) ...
... – Quantitative observations – numbers or amounts that describe the object (examples: 3 inches wide, 2.5 grams, 98.6 F) ...
Measurement Unit - tamhonorschemistryhart
... • Precision = the agreement of two or more measurements that have been made in the same way (reproducibility) ...
... • Precision = the agreement of two or more measurements that have been made in the same way (reproducibility) ...
Prove that for all real numbers a, b, c, d
... Suppose that a = 0. Then we have that a = 0(1), so that 0 divides a, as desired. Problem 3: Let a, b, and c be integers. Prove that if a divides b or a divides c, then a divides bc. Solution: Suppose a divides b. Then there exists an integer q such that b = aq, so that bc = a(qc) and a divides bc, a ...
... Suppose that a = 0. Then we have that a = 0(1), so that 0 divides a, as desired. Problem 3: Let a, b, and c be integers. Prove that if a divides b or a divides c, then a divides bc. Solution: Suppose a divides b. Then there exists an integer q such that b = aq, so that bc = a(qc) and a divides bc, a ...