Big Ideas Math: Modeling Real Life, Grade 6
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7. Dividing Decimals
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Exercise 59 Page 93

Pay close attention to the order of operations.

10.12

Practice makes perfect
According to the order of operations, expressions inside parentheses are evaluated first, followed by exponents, then multiplication and division, and finally addition and subtraction are evaluated last. We can use the acronym PEMDAS to help us remember the correct order!
pemdas
Let's see the given expression! 5.5 * 16.56 Ă· 9Following the order of operations, we need to start with the multiplication. We will multiply just as we do with two whole numbers. At first, we will ignore any decimal points.
Apple to multiply two natural numbers
Then we place the decimal point in the product by counting the number of decimal places in each factor.
multiplication
The product of 5.5 and 16.56 is 91.080, or simply 91.08. Let's substitute the result of the product in the given expression. 91.08 Ă· 9 Now, we will perform the division. The calculations are easier if we multiply the divisor and the dividend by the same power of 10 so that the divisor is a whole number. In this case, we will multiply by 100. 91.08* 100 &=9108 9* 100 &= 900 This means that 91.08Ă· 9 is the same as 9108Ă· 900. Now we will find the quotient. We divide, multiply, subtract, and compare as many times as we need.
Applet to compute the division of two numbers
Since 9108Ă· 900=10.12, we know that 91.08Ă· 9=10.12.