Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
5. Multiplying Decimals
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Exercise 61 Page 79

Pay close attention to the order of operations.

2.016

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 exponent first. 23.98- 1.7^2*7.6Let's first write it as product. 23.98- 1.7^2*7.6=23.98- (1.7* 1.7)*7.6 Now to find the product, we multiply just as we do with two whole numbers. At first, we ignore any decimal points.
Applet 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
We found that the product is 2.89. 23.98- (1.7* 1.7)*7.6=23.98- 2.89*7.6 We can find the other product in a similar way. First, we multiply without decimal points, 289 * 76=21964. Now we will place the decimal point.
multiplication
We found that the other product is 21.964. Let's finish evaluating the expression. 23.98- 2.89*7.6=23.98- 21.964=2.016 The expression is equal to 2.016.