Using Basic Facts to Divide by Multiples of 10
Using basic facts to divide by multiples of 10 is a Grade 5 math skill in enVision Mathematics, Chapter 5: Use Models and Strategies to Divide Whole Numbers. Students use a related basic fact (like 15 ÷ 3 = 5) combined with place value reasoning to quickly compute divisions like 150 ÷ 30 = 5. Thinking in terms of units of ten makes mental division of larger multiples of 10 straightforward.
Key Concepts
To divide multiples of 10, you can use a related basic division fact. Think of the problem in terms of place value. $$15 \text{ tens} \div 3 \text{ tens} = 5$$ $$150 \div 30 = 5$$.
Common Questions
How do you use basic facts to divide by multiples of 10?
Think of the division in place value units. For example, 150 ÷ 30 = 15 tens ÷ 3 tens = 5, using the basic fact 15 ÷ 3 = 5.
What is 420 ÷ 60?
Think: 42 tens ÷ 6 tens = 7, using the basic fact 42 ÷ 6 = 7. So 420 ÷ 60 = 7.
Why does this strategy work?
Because dividing by the same power of 10 on both sides cancels out, leaving a simpler basic fact to solve mentally.
Where is this division strategy taught in enVision Grade 5?
Chapter 5: Use Models and Strategies to Divide Whole Numbers in enVision Mathematics, Grade 5.
What basic fact would you use to solve 3,600 ÷ 90?
Think: 360 ÷ 9 = 40, using the basic fact 36 ÷ 9 = 4. So 3,600 ÷ 90 = 40.