Big Ideas Math: Modeling Real Life, Grade 6
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7. Dividing Decimals
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Exercise 60 Page 93

Pay close attention to the order of operations.

2.35

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. 35.25 Ă· 5 Ă· 3We will perform the divisions from left to right. 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. 35.25* 100 &=3525 5* 100 &= 500 This means that 35.25Ă· 5 is the same as 3525Ă· 500. 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 3525Ă· 500=7.05, we know that 35.25Ă· 5=7.05. Now, we can substitute the result of the first division into the given expression. 7.05 Ă· 3 Again, we will multiply the division and the dividend by the same power of 10. In this case, we will multiply by 100. multiply by 100. 7.05* 100 &=705 3* 100 &= 300 This means that 7.05Ă· 3 is the same as 705Ă· 300. 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 705Ă· 300=2.35, we know that 7.05Ă· 3=2.35.