5th grade multiplication

5th grade (class 5) multiplication: a quiz for kids, then every skill in order with lessons, a checklist and a 4-week plan for parents.

🧒 Kids: answer 10 grade 5 questions. Tap Check ✓ after each one!

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For parents and teachers ↓

What 5th graders learn about multiplication

In grade 5 (class 5), children become fluent with the standard written method for multi-digit multiplication, multiply fractions and mixed numbers, and multiply decimals to hundredths. They also use powers of 10 and exponents, and solve real problems that mix all of these.

Other grades: Grade 2 · Grade 3 · Grade 4 · Grade 5 · Grade 6

5th grade multiplication skills, in order

Work down the list. Each lesson explains the idea for parents with pictures and has a tool or quiz for your child.

#Skill (lesson)Practice
1Partial products (review)Partial products quiz
23-digit by 2-digitStep-by-step tool
3Multi-digit (standard method)Step-by-step tool
4Estimating productsEstimating quiz
5Multiplying fractionsFraction area model
6Multiplying mixed numbersWorked examples
7Multiplying decimalsDecimal tool
8Powers of 10 and exponentsPower explorer
9Word problemsWord problem quiz

By the end of grade 5, your child should be able to…

Unsure where your child is? The multiplication levels page has a short test for every step from basic to expert.

A 4-week plan for 5th grade multiplication

WhenFocus
Week 1Standard method: 3-digit by 2-digit
Week 2Multi-digit and estimating
Week 3Fractions and mixed numbers
Week 4Decimals and powers of 10

Add 5 minutes of fact practice every day with the multiplication trainer, and a weekly speed test.

Signs your 5th grader needs more help

A low score is information, not a verdict. Most gaps close with ten minutes a day on the right skill.

A 5th grade word problem, solved

A farm packs 144 eggs in each crate. How many eggs are in 36 crates?

Estimate: about 150 × 40 = 6,000. Standard method: 144 × 6 = 864, then 144 × 30 = 4,320. Add the rows: 5,184 eggs. The answer is a bit under the estimate, because both numbers were rounded up.

The best tools for 5th grade multiplication

More for grade 5

All 5th grade math · CBSE class 5 maths parent guide · Multiplication quiz for every grade · Multiplication for kids

What to say to your child

A short script for teaching it the first time. Pause after each line and let your child do the next step.

  1. “Estimate 347 × 26 first.” (300 × 30 = 9,000.)
  2. “Multiply by the 6, then write a 0 and multiply by the 2.”
  3. “Add the rows.” (9,022.)
  4. “Now 2/3 × 3/4: tops times tops, bottoms times bottoms.” (6/12 = 1/2.)
  5. “Is the answer bigger or smaller than 3/4? Why?”

More worked examples

Example 1: 608 × 37

4,256 + 18,240 = 22,496.

Example 2: 2/5 × 15

15 ÷ 5 = 3, 3 × 2 = 6.

Example 3: 4.5 × 6

45 × 6 = 270, one decimal place: 27.0.

Practice questions (answers below)

Ask these out loud or write them down. Check each answer, and ask “how did you get that?” for one or two.

  1. 246 × 35
  2. 1,203 × 24
  3. 3/4 × 2/5
  4. 1 1/2 × 4
  5. 2.4 × 3
  6. 0.6 × 0.5
  7. 10⁴
  8. Estimate 512 × 48
  9. A ribbon is 2.5 m. How long are 8 ribbons?
  10. 3/4 of a class of 32 children walk to school. How many?
Show the answers
  1. 8,610
  2. 28,872
  3. 6/20 = 3/10
  4. 6
  5. 7.2
  6. 0.3
  7. 10,000
  8. 500 × 50 = 25,000
  9. 20 m
  10. 24

Common mistakes

Missing 0 placeholderSecond row not shifted.Fix: write the 0 first when multiplying by tens.
Decimal point in the wrong place0.6 × 0.5 = 3.0.Fix: count decimal places in both numbers: two, so 0.30.
Common denominators when multiplying fractionsChanges 2/3 × 3/4 to twelfths.Fix: just multiply tops and bottoms.

How to teach it at home

Five minutes a day

Short daily practice beats long weekend sessions.

Talk it through

Ask “how did you work that out?” for one problem each day.

Use real life

Shopping, recipes and sports scores are full of multiplication.

By grade

Not sure where to start?

The free 5th grade math check-up tests every grade 5 topic in 18–22 minutes. It shows which topics are solid and which lesson to start with.

Worksheets and practice

Multi-digit multiplication worksheet, page 1

Multi-digit multiplication worksheet: printable PDF with an answer key.

All worksheets

Last reviewed

Questions parents ask

What multiplication do 5th graders learn?

The standard algorithm for multi-digit numbers, multiplying fractions and mixed numbers, multiplying decimals to hundredths, and powers of 10 with exponents.

How many digits should a 5th grader multiply?

Typically up to 4-digit by 2-digit numbers with the standard method, checked by estimating.

Is there a 5th grade multiplication quiz?

Yes. The quiz at the top of this page has 10 mixed 5th grade questions, marked one at a time with a hint for every mistake. Play again for a fresh set, or try the full multiplication quiz for every grade.

What is class 5 multiplication?

Class 5 in India and grade 5 in the US cover the same multiplication skills, listed in order on this page: partial products (review), 3-digit by 2-digit, multi-digit (standard method), estimating products.

How much multiplication practice does a 5th grader need?

About 10 minutes a day: 5 minutes of facts (trainer or speed test) and 5 minutes on the current skill. Short daily practice works better than long weekly sessions.