Big Ideas Math: Modeling Real Life, Grade 6
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7. Dividing Decimals
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Exercise 63 Page 93

Pay close attention to the order of operations.

7.1

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! 132.06Ă·(4^2+2.6)

Following the order of operations, we need to start with the power. 132.06÷(4^2+2.6) → 132.06÷( 16+2.6) Now, we will calculate the addition inside the parentheses. To add decimals, we line up the decimal points so that place-value positions correspond. Annex a zero so that each place has a digit.

decimal points aligned
Now we add the decimals, just as we would with whole numbers, and place the decimal point in the answer.
Addition of 3.400 and 12.802
The sum of the given numbers is 18.6. Now, let's substitute these result into the given expression. 132.06 Ă· 18.6 The next step is 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. 132.06* 100 &=13206 18.6* 100 &= 1860 This means that 132.06Ă· 18.6 is the same as 13206Ă· 1860. 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 13206Ă· 1860=7.1, we know that 132.06Ă· 18.6=7.1.