Big Ideas Math: Modeling Real Life, Grade 6
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7. Dividing Decimals
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Exercise 56 Page 93

Pay close attention to the order of operations.

7.945

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
For the given expression, this means evaluating the expression inside the square brackets completely before adding the product. 7.68+3.18Ă· 12Following the order of operations, we need to start with 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. 3.18* 100 &=318 12* 100 &= 1200 This means that 3.18Ă· 12 is the same as 318Ă· 1200. 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 318Ă· 1200=0.265, we know that 3.18Ă· 12=0.265. Let's substitute the result of the division in the given expression. 7.68+0.265 Now we can find the sum. 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.
91.2+89.9=181.1
The answer 7.945.

Alternative Solution

Using a Calculator

We can also evaluate this expression using a calculator. To do so, we type it as shown below.