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Math – LEAP Review – GLE’s Presented by Vicki Martinez
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Number and Number Relations Read and write place value in word, standard, and expanded form through 1,000,000. Standard form = 4,078,341 Word Form = Four million, seventy-eight thousand, three hundred forty-one Expanded Form = 4,000,000 + 0 +70,000 + 8,000 + 300 + 40 + 1
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2. Read, write, compare, and order whole numbers using place value concepts, through 1,000,000 Practice reading large numbers. 33,905,085 Compare numbers. 348,893 > 348,839 (> means greater than) (< means less than) 90,045 < 99,045
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Order the numbers Order the numbers from least to greatest. 345 874 435 884 Answer: 345 435 874 884
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Order the Numbers Order the numbers from greatest to least: 9,887 8,879 8,798 9,978 Answer: 9,978 9,887 8,879 8,798
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3. Illustrate when a number is divisible by 2, 3, 5, or 10. If the last digit is even, the number is divisible by 2. Example: 896 - ends in “6”. 6 is an even number. So 896 is divisible by 2. 29,765,433 - ends in “3”. 3 is an odd number. So this number is NOT divisible by 2.
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Divisible by 3 If the sum of the digits is divisible by 3, the number is also. Example: 345 (3 + 4 + 5 =12 and 12 ÷ 3 =4) That means that 345 is divisible by 3. 345 (3 + 4 + 6 =13 and 13 is not divisible by 3). SO 345 is not divisible by 3.
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Divisible by 4 If the last two digits from a number are divisible by 4, the number is also. Example: 4,528 ( 28 ÷ 4 =7) So, since we can divide 28 by 4, the entire number is divisible by 4.
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Divisible by 5 If the last digit is a 5 or a 0, the number is divisible by 5. Example: 155 This number ends in 5, so it is divisible by 5. 150 This number ends in 0, so it is divisible by 5 153 This number is not divisible by 5.
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Divisible by 10 If the number ends in 0, the number is divisible by 10. Example: 340 ends in 0. It is divisible by 10. 343 does not end in 0. It is not divisible by 10.
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4. Know all basic facts for multiplication and division through 12 x 12 and 144 ÷ 12. http://www.multiplication.com/cmptr games/quickpractice.htm http://www.multiplication.com/cmptr games/quickpractice.htm
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Prime Numbers A prime number has exactly 2 factors, 1 and itself. Example : The factors of 5 are: 1 x 5 So 5 is a prime number. The factors of 6 are 1 x 6; and 2 x 3. 6 is NOT a prime number.
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Composite Number A composite number has more than 2 factors. Example : The factors of 6 are 1 x 6; and 2 x 3. 6 is composite number because it has more than 2 factors. The factors of 5 are: 1 x 5 So 5 is a NOT a composite number because it only has 2 factors.
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5. Read and write decimals through hundredths and connect them to corresponding fractions. Everything to the left of the decimal is a whole number. Everything to the right of the decimal is a fraction that can be written as a decimal. You only have to remember tenths and hundredths.
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Learn This! A decimal is another way to write a fraction. In $4.25, $0.25 is part of a dollar. It is 25/100 of a dollar. O.25 = 25/100 = 1/4
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Learn This! A decimal is another way to write a fraction. In $4.50, $0.50 is part of a dollar. It is 50/100 of a dollar. O.50 = 50/100 = ½ = 2/4
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Learn This! A decimal is another way to write a fraction. In $4.75, $0.75 is part of a dollar. It is 75/100 of a dollar. O.75 = 75/100 = 3/4
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In a decimal, the farther right the number the smaller it's value. 234.1 = _2_ hundreds + _3_ tens + _4_ ones +_1 tenths
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Always remember all decimals can be written as fractions. O.7 = seven tenths = 7/10 0.5 = five tenths = 5/10 = ½ 0.70 = seventy hundredths = 70/100 0.50 = fifty hundredths = 50/100
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Fractions and Decimals 1.4 = one and four tenths 1.4 = 1 4 10 39.6 = thirty nine and six tenths 39.6 = 39 6 10
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Fractions & Decimals: Hundredths 1.34 = one and thirty four hundredths 1.34 = 1 34 100
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In a decimal, the farther right the number the smaller it's value. 234.1 = __hundreds + __tens + __ ones +_ tenths 234.1 = _2_ hundreds + _3_ tens + _4_ ones +_1 tenths
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