Category: Ordering Rounding
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Order of Operations With Exponents
Problem 1 Evaluate the expression 21 + 32 ÷ 42 Solution Step 1: We follow the order of operations rule PEMDAS, Here there are no parentheses. Step 2: So, first we evaluate the term with an exponent. 21 + 32 ÷ 42 = 21 + 32 ÷ 16 Step 3: We do division 21 + 32 ÷ 16 =…
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Order of Operations
Introduction Math expressions use grouping symbols like brackets [], braces {} and parentheses . We now evaluate expressions involving order of operations with whole numbers using such grouping symbols. Problem 1 Evaluate the following expression [3 +15+6 ÷ 7] 4 Solution Step 1: We must follow the rule of order of operations PEMDAS. We start with the…
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Estimating a Quotient of Whole Numbers
Introduction The whole numbers are first rounded as specified, i.e., rounded to the nearest ten, hundred and so on. Then the quotient of the rounded whole numbers is found to estimate the quotient of whole numbers. Problem 1 Estimate the quotient 5873 ÷ 346 by first rounding each number so that it has only one non-zero digit.…
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Estimating a Product of Whole Numbers
Introduction The whole numbers are first rounded as specified, i.e., rounded to the nearest ten, hundred and so on. Then the product of the rounded whole numbers is found to estimate the product of whole numbers. Problem 1 Estimate the product 573 94 by first rounding each number so that it has only one non-zero digit. Solution…
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Estimating a Difference of Whole Numbers
Introduction The whole numbers are first rounded as specified, i.e., rounded to the nearest ten, hundred and so on. Then the difference of the rounded whole numbers is found to estimate the difference of whole numbers. Problem 1 Estimate the difference 6,573 4,536 by first rounding each number to the nearest hundred. Solution Step 1: In 6,573,…
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Estimating a Sum of Whole Numbers
Introduction The whole numbers are first rounded as specified, i.e., rounded to the nearest ten, hundred and so on. Then the sum of the rounded whole numbers is found to estimate the sum of the whole numbers. Problem 1 Estimate the sum 3,273 + 8,781 + 11,309, by first rounding each number to the nearest thousand. Solution…
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Rounding to Hundreds or Thousands
Definition Rounding of a number means replacing it with another number that is nearly equal to it but easy to represent or write. For example 754 rounded to nearest thousand is 1000. If the rounding number is 4 or less it is round down. If the rounding number is 5 or more it is rounded up.…
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Rounding to Tens or Hundreds
Definition Rounding of a number means replacing it with another number that is nearly equal to it but easy to represent or write. For example 97 is rounded to 100. If the rounding number is 4 or less it is round down. If the rounding number is 5 or more it is rounded up. For example…
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Ordering Large Numbers
Introduction If a series of large numbers are given, we would be interested in ranking or ordering them. We can either order them from the largest to the smallest or from smallest to the largest. Rules for ordering large numbers Problem 1 Order the following numbers from the least to the greatest 362,239; 76,231; 4572;…
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Comparing a Numerical Expression
Definition A numerical expression is a mathematical statement involving only numbers and one or more arithmetic operation symbols+,−,×,÷. A numerical expression always represents a particular number. For example, the numerical expression 5 + 20 − 9 is equal to the number 16 when simplified. Examples The following are some examples of numerical expressions. 5 + 20 − 7, 4 + 3 −…