Eureka Math² Grade 5, Module 1: Place Value Concepts for Multiplication and Division with Whole Numbers
In this unit, your child opens the year by tying place value to multiplying and dividing whole numbers. They see why each place is ten times the next, multiply and divide by 10, 100, and 1,000, multiply multi-digit numbers, and divide by two-digit numbers. Expressions with parentheses show the steps. Next comes adding and subtracting fractions.
By Robert “Bobby” BarnettMath teacher, parent, and founder of Bobby’s Math Club
What is my child learning in Module 1?
- Evaluating expressions with parentheses and brackets, like [2 × (3 + 5)] × 10 = 160, to keep track of steps. Learn more: Solving number sentences with parentheses
- Turning words like “4 times as many as 25 + 15” into 4 × (25 + 15), and comparing expressions without solving. Learn more: Turning words into number sentences
- Explaining that a digit in one place is worth ten times what it would be worth in the place to its right. Learn more: What each digit is worth, including decimals
- Multiplying and dividing whole numbers by 10, 100, and 1,000, like 3,600 ÷ 100 = 36, using exponents to name powers of 10. Learn more: Multiplying and dividing by 10, 100, and 1,000
- Multiplying multi-digit whole numbers with area models, partial products, and the written method, like 435 × 24. Learn more: Multiplying big numbers, like 213 × 32
- Dividing by two-digit divisors, like 1,248 ÷ 24 = 52, by thinking about how many groups of the divisor fit. Learn more: Dividing by two-digit numbers, like 480 ÷ 16
Sample questions to try together
These are real questions from our practice. Tap the speaker to hear one read aloud, or the light bulb for a hint, and talk about the answer together.
Question 1 of 3
Work out (25 - 5) × 3.
- 10
- 70
- 60
How you can help
- Ask how many cents are in $36, then in $360. Let your child see the digits shift by place value: 3,600 cents and 36,000 cents.
- Plan seats for an event: 1,248 chairs in rows of 24. Ask your child to estimate first, about 1,200 ÷ 25, then divide to find 52 rows.
- Multiply a real total together, like 24 cartons of 18 eggs. Ask your child to draw an area model, split 24 into 20 and 4, and add the partial products to get 432.
Where kids can get stuck
- Losing count of zeros when the number already ends in one, writing 50 × 100 as 500 instead of 5,000.
- Mixing up the carried digits from different rows, so one row's regrouping spills into the next partial product.
- Writing the numbers in the order they appear, so “multiply by 3 the sum of 5 and 7” becomes 3 × 5 + 7.
Practice makes perfect
Bobby's Math Club has practice problems that adapt to your child’s level, each with a detailed explanation and an easy-to-follow video, so your child can build confidence in these skills one step at a time.
Words your child will hear
- place value
- The value a digit has because of where it sits in a number.
- power of 10
- 10, 100, 1,000, and so on: each one is ten times the one before.
- exponent
- A small raised number that tells how many times to multiply the base, like the 3 in 10³.
- product
- The answer to a multiplication problem, like 24 in 6 × 4 = 24.
- partial product
- One row of a stacked multiplication, before the rows are added.
- quotient
- The answer to a division problem, like 8 in 32 ÷ 4 = 8.
- divisor
- The number that tells how many groups, or how big each group is, in division.
- expression
- Numbers and operation signs written together to show a calculation, like 3 × (4 + 2).
- parentheses
- Grouping marks ( ) around the part of an expression to work first.
Ready to build your child’s confidence with multiplying and dividing whole numbers?
In Bobby's Math Club, your child practices these skills at just the right level, with a hint when they need one, a clear explanation after every question, and kid-friendly videos. Unlimited practice is free.
Join the club
Written by Robert “Bobby” Barnett
Bobby is an award-winning math teacher, the author of Meet Every Learner’s Needs, and the father of two elementary-school math learners. He uses Bobby’s Math Club with his own kids a few times every week. Learn more or contact Bobby.
Which math standards does Eureka Math² Grade 5 Module 1 cover?
Eureka Math² Grade 5 Module 1 covers these math standards. Each one links to what it means, sample questions, and teaching strategies.
- 5.OA.A.1: Solve problems with parentheses and brackets, working inside first.
- 5.OA.A.2: Turn words into calculations like (5 + 7) × 3, and explain them.
- 5.NBT.A.1: Understand place value with decimals, like 0.09 is 1/10 of 0.9.
- 5.NBT.A.2: Multiply and divide by 10, 100, and 1,000, and see how the digits shift.
- 5.NBT.B.5: Fluently multiply larger numbers, like 213 × 32.
- 5.NBT.B.6: Divide by a two-digit number, like 480 ÷ 16.
For teachers: Unit names and order vary between editions and districts, so your school’s own materials have the exact sequence. Learn how Bobby's Math Club can help your students grow.