Dividing by a Decimal Number
Divide by decimal numbers in Grade 6 math by converting the divisor to a whole number — multiply both dividend and divisor by a power of 10 to simplify the division.
Key Concepts
Property When the divisor of a division problem is a decimal number, we change the problem so that the divisor is a whole number. We do this by multiplying the divisor and the dividend by the same power of 10, creating an equivalent problem: $$\frac{1.24}{0.4} \times \frac{10}{10} = \frac{12.4}{4}$$.
Examples $1.44 \div 0.6$ is equivalent to $14.4 \div 6 = 2.4$. $0.24 \div 0.4$ is equivalent to $2.4 \div 4 = 0.6$. $9 \div 0.3$ is equivalent to $90 \div 3 = 30$.
Explanation Tired of dividing by tricky decimals? Just give them a shove! We multiply both the number being divided (dividend) and the number we are dividing by (divisor) by 10, 100, or more, until the divisor is a happy whole number. This clever trick makes the problem much easier to solve without changing the final answer.
Common Questions
What is Dividing by a Decimal Number in Grade 6 math?
Dividing by a Decimal Number is a key concept in Grade 6 math from Saxon Math, Course 1. Students learn to apply this skill through structured examples, step-by-step methods, and real-world problem solving.
How do students learn Dividing by a Decimal Number?
Students build understanding of Dividing by a Decimal Number by first reviewing prerequisite concepts, then working through guided examples. Practice problems reinforce the skill and help students recognize patterns and apply procedures confidently.
Why is Dividing by a Decimal Number important in Grade 6 math?
Mastering Dividing by a Decimal Number builds a foundation for advanced topics in middle and high school math. It develops mathematical reasoning and connects to multiple real-world applications students encounter in everyday life.
What are common mistakes students make with Dividing by a Decimal Number?
Common errors include misapplying the procedure or skipping simplification steps. Students should always check their answers by working backwards and reviewing each step methodically.