Standard Algorithm for Division by Multiples of 10
Standard Algorithm for Division by Multiples of 10 is a Grade 5 math skill from Eureka Math that teaches students to divide multi-digit numbers by multiples of 10 (such as 20, 30, 50) using the standard long division algorithm. Students combine knowledge of basic division facts with place value to efficiently solve these problems. This skill builds fluency for more complex division in later grades.
Key Concepts
To divide a dividend by a divisor using the standard algorithm, we find a quotient ($q$) and a remainder ($r$) such that $$(\text{Divisor} \times q) + r = \text{Dividend},$$ where the remainder must be less than the divisor ($0 \leq r < \text{Divisor}$).
Common Questions
How do you use the standard algorithm to divide by a multiple of 10?
Set up the long division with the multiple of 10 as divisor. Use estimation and basic division facts scaled by place value to find each quotient digit. For example, dividing by 30 uses the fact that 3 goes into certain numbers.
What is an example of dividing by a multiple of 10 in Grade 5?
240 ÷ 30: think of it as 24 tens ÷ 3 tens = 8. Or use the standard algorithm: 30 goes into 240 eight times (30 x 8 = 240).
Why learn to divide by multiples of 10 in Grade 5?
This skill extends basic division fluency to more complex divisors, preparing students for division by two-digit numbers and developing the number sense needed for estimation.
What Eureka Math Grade 5 chapter covers dividing by multiples of 10?
Eureka Math Grade 5 covers standard algorithm for division by multiples of 10 in its long division chapters as part of the progression to two-digit divisors.
How does place value thinking help when dividing by multiples of 10?
Treating the divisor as a scaled unit (e.g., 40 = 4 tens) allows students to use known basic facts and then adjust for the place value, simplifying the computation.