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Understanding before, after, and between numbers is an important part of 2nd grade math. These skills help children build strong number sense, improve counting ability, and prepare for addition, subtraction, and place value concepts. When students know how numbers are
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Worksheet on expanded form and short form helps students understand place value by practicing numbers in expanded form and short form. It includes simple and engaging questions where learners break numbers into thousands, hundreds, tens, and ones, and also combine expanded
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Addition and subtraction of fractions are discussed here with examples. To add or subtract two or more fractions, proceed as under: (i) Convert the mixed fractions (if any.) or natural numbers
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Comparing and ordering fractions worksheet helps students practice comparing and ordering fractions in a simple and engaging way. Learners will compare fractions using the symbols >, <, and =, identify the greater or smaller fraction, and arrange fractions in ascending
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In comparing and ordering fractions, we will learn how to compare and order fractions step-by-step. We cover easy tricks such as comparing fractions with the same denominator, the same numerator, using cross multiplication, and converting fractions to like denominators.
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The three types of fractions are : Proper fraction, Improper fraction, Mixed fraction, Proper fraction: Fractions whose numerators are less than the denominators are called proper fractions. (Numerator < denominator). Two parts are shaded in the above diagram.
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There are two methods to reduce a given fraction to its simplest form, viz., H.C.F. Method and Prime Factorization Method. If numerator and denominator of a fraction have no common factor other than 1(one), then the fraction is said to be in its simple form or in lowest
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In unitary method we will learn how to find the value of a unit from the value of a multiple and the value of a multiple from the value of a unit. When we go to the market to buy any article, we ask the shopkeeper to tell the price of the article. This is called unit price.
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Like and unlike fractions are the two groups of fractions: (i) 1/5, 3/5, 2/5, 4/5, 6/5 (ii) 3/4, 5/6, 1/3, 4/7, 9/9 In group (i) the denominator of each fraction is 5, i.e., the denominators of the fractions are equal. The fractions with the same denominators are called
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In conversion of improper fractions into mixed fractions, we follow the following steps: Step I: Obtain the improper fraction. Step II: Divide the numerator by the denominator and obtain the quotient and remainder. Step III: Write the mixed fraction
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In worksheet on equivalent fractions, all grade students can practice the questions on equivalent fractions. This exercise sheet on equivalent fractions can be practiced by the students to get more ideas to change the fractions into equivalent fractions.
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Equivalent fractions are the fractions having the same value. An equivalent fraction of a given fraction can be obtained by multiplying its numerator and denominator by the same number
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Fraction as division is also known as fraction as quotient. Examples on Fraction as division If 8 biscuits are distributed between 2 children equally, then each of them will get 8 ÷ 2 = 4 biscuits. If 4 biscuits are distributed between 2 children equally, then each of
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In 5th Grade Playing with Numbers Worksheet we will get different types of problem on simplification of numerical operations, simplification of brackets, factors, multiples, finding prime and composite numbers, tests for divisibility, properties of divisibility
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The product of highest common factor (H.C.F.) and lowest common multiple (L.C.M.) of two numbers is equal to the product of two numbers i.e., H.C.F. × L.C.M. = First number × Second number or, LCM × HCF = Product of two given numbers
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Practice the questions given in the worksheet on l.c.m. to find the least common multiple by listing their multiples, by common prime factors and by division method. I. Find the L.C.M. of the following by listing their multiples. (i) 5, 10, 15 (ii) 4, 10, 12 (iii) 3, 9, 12
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To find Least Common Multiple by using Division Method we need to follow the following steps. Step 1: Write the given numbers in a horizontal line, separating them by commas. Step 2: Divide them by a suitable prime number, which exactly divides at least two of the given
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The least common multiple (L.C.M.) of two or more numbers is the smallest number which can be exactly divided by each of the given number. The lowest common multiple or LCM of two or more numbers is the smallest of all common multiples.
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To find the LCM of two or more numbers, we first find all the prime factors of the given numbers and write them one below the other. Take one factor from each common group of factors and find their product. Multiply the product with other ungrouped factors. The resultant is
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Common multiples of two or more given numbers are the numbers which can exactly be divided by each of the given numbers. Consider the following. (i) Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, …………etc. Multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, …………… etc.
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Let us consider some of the word problems on H.C.F. (highest common factor). 1. Two wires are 12 m and 16 m long. The wires are to be cut into pieces of equal length. Find the maximum length of each piece. 2.Find the greatest number which is less by 2 to divide 24, 28 and 64
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Examples on highest common factor (H.C.F) are solved here step by step. Let’s follow 10 examples on highest common factor (H.C.F). Find the highest common factor (H.C.F)
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In this method we first divide the greater number by the smaller number. The remainder becomes the new divisor and the previous divisor as the new dividend. We continue the process until we get 0 remainder. Finding highest common factor (H.C.F) by prime factorization for
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To find highest common factor by using prime factorization method is discussed here. Step I: Find the prime factorization of each of the given numbers. Step II: The product of all common prime factors is the HCF of the given numbers. Let us consider some of the examples
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Common factors of two or more numbers are a number which divides each of the given numbers exactly. For examples 1. Find the common factor of 6 and 8. Factor of 6 = 1, 2, 3 and 6. Factor
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Highest common factor (H.C.F) of two or more numbers is the greatest number which divides each of them exactly. Now we will learn about the method of finding highest common factor (H.C.F). Steps 1: Find all the factors of each given number. Step 2: Find common factors of the
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To find the highest common factor of three numbers by using division method is discussed here step by step. Step I: First of all find the highest common factor (H.C.F) of any two of the given numbers. Step II: Now find the highest common factor (H.C.F) of the third given
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To find out factors of larger numbers quickly, we perform divisibility test. There are certain rules to check divisibility of numbers. Divisibility tests of a given number by any of the number 2, 3, 4, 5, 6, 7, 8, 9, 10 can be perform simply by examining the digits of the
Continue reading "Divisibility Rules For 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, ... Videos "
Practice the questions given in the worksheet on methods of prime factorization. 1. Each of the following is the prime factorization of a certain number. Find the number. (i) 2 × 5 × 7
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Prime factorisation or complete factorisation of the given number is to express a given number as a product of prime factor. When a number is expressed as the product of its prime factors, it is called prime factorization. For example, 6 = 2 × 3. So 2 and 3 are prime factors
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Worksheet on divisibility rules will help us to practice different types of questions on test of divisibility by 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11. We need to use the divisibility rules to find whether the given number is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11.
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In 5th Grade Worksheet on Prime and Composite Numbers we will get different types of questions on prime numbers, even prime numbers, odd prime numbers, composite numbers, co-prime numbers, twin-prime numbers, prime-triple and perfect numbers.
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What are the prime and composite numbers? Prime numbers are those numbers which have only two factors 1 and the number itself. Composite numbers are those numbers which have more than two factors.
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In 5th Grade Factors and Multiples Worksheets we will find the multiples of a given number, find the prime factors of a number, HCF of co-prime number, LCM of two co-prime numbers, HCF of two co-prime numbers, common multiples of three numbers, word problems on LCM and word
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Multiples of a given number are all those numbers which can be divided completely by the given numbers Let us consider the following examples. (i) Multiples of 4 are 4, 8, 12, 16, 20, 24
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Factors are discussed here with examples. Each of the numbers multiplied together to form a product is called a factor of the product. For Example: (i) 2 and 3 are the factors of 6 as 2 × 3 = 6.
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