Reveal Math Grade 5, Unit 7: Division of Decimals
In this unit, your child divides decimals: a decimal by a whole number, like $7.50 ÷ 3, and a number by a decimal, like 3 ÷ 0.5. They use models and place value, and check each quotient by multiplying back. It builds on decimal multiplication from the unit before and leads into adding and subtracting fractions.
By Robert “Bobby” BarnettMath teacher, parent, and founder of Bobby’s Math Club
What is my child learning in Unit 7?
- Dividing decimals by whole numbers and by decimals to the hundredths, using models and place value, and checking with multiplication. Learn more about adding and subtracting decimals to hundredths: Adding and subtracting decimals to hundredths · Learn more about multiplying decimals to hundredths · Learn more about dividing decimals to hundredths
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
Amara bikes 4.6 kilometers to the library and then 3.85 kilometers to the park. How far does she bike in all?
- 4.31 kilometers
- 7.45 kilometers
- 8.45 kilometers
How you can help
- Split a cost evenly, like $13.50 shared by 3 people. Ask your child to divide, then multiply back to make sure the shares add up.
- Pour 2 cups of water using a 0.25 cup scoop, which is a 1/4 cup, and count the scoops. Talk about why dividing by a decimal less than 1 gives a bigger number.
- Find unit prices at the store, like a 6-pack for $4.20. Ask how much one costs, and which size is the better buy.
Where kids can get stuck
- Expecting division to always make a number smaller, so they doubt an answer of 8 for 2 ÷ 0.25.
- Forgetting the decimal point in the quotient, so $7.50 ÷ 3 comes out as 250 instead of $2.50.
- Stopping at a remainder instead of writing a zero and dividing on, so 3.4 ÷ 4 ends at 0.8 instead of 0.85.
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
- dividend
- The number being divided.
- divisor
- The number you divide by.
- quotient
- The answer to a division problem.
- decimal point
- The dot that separates the whole number from the parts of a whole.
- tenth
- One of 10 equal parts of a whole, written 0.1.
- hundredth
- One of 100 equal parts of a whole, written 0.01.
- estimate
- A close guess found by rounding or using easy numbers.
Ready to build your child’s confidence with dividing decimals?
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.
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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 Reveal Math Grade 5 Unit 7 cover?
Reveal Math Grade 5 Unit 7 covers this math standard. Each one links to what it means, sample questions, and teaching strategies.
- 5.NBT.B.7: Add, subtract, multiply, and divide decimals to hundredths.
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.