Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
7. Dividing Decimals
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Exercise 62 Page 93

Pay close attention to the order of operations.

4.96

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! 6.2 * ( 16.56 Ă· 9) Following 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. 5.16* 100 &=516 6.45* 100 &= 645 This means that 5.16Ă· 6.45 is the same as 516Ă· 645. 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 516Ă· 645=0.8, we know that 5.16Ă· 6.45=0.8. Let's write the given expression with the new results! 6.2* (0.8) Now, we will perform the multiplication. We will multiply just as we do with two whole numbers. At first, we will ignore any decimal points. 62 * 8 =496 Then we place the decimal point in the product by counting the number of decimal places in each factor.
multiplication
The product of 6.2 and 0.8 is 4.96.