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.
5.NBT.A.2: explain patterns when multiplying by powers of 10, using exponents.
5.NBT.B.5: fluently multiply multi-digit whole numbers with the standard algorithm.
5.NBT.B.7: multiply decimals to hundredths.
5.NF.B.4–6: multiply fractions and mixed numbers, and solve word problems.
5.NF.B.5: understand multiplying as scaling (resizing).
Forgets the placeholder zero in the second row. Say “now we multiply by tens, so a zero first” out loud for every problem.
Puts the decimal point in the wrong place. Estimate first: 2.4 × 3 is about 7, so the answer cannot be 72.
Multiplies fractions by finding a common denominator. Show with a fraction area model why tops × tops and bottoms × bottoms is enough.
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 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.