5th Grade Multiplying Multi-Digit Whole Numbers Worksheet Solutions (PDF)

5th Grade math worksheet solutions: Multiplying Multi-Digit Whole Numbers – Maths PDF

This answer key shows the partial products for each of the 20 multiplication problems. Check the placeholder zero in every second row, then add the partial products. If your answer differs, compare it with the estimate to find where the mistake happened.

Grade 5 · Common Core State Standards: 5.NBT.B.5

Exercise 1 – Two digits by one digit

$7\times6=42$: write 2, carry 4. $4\times6=24$, plus 4 is 28.

Answer: 282

Exercise 2 – Three digits by one digit

$8\times7=56$: write 6, carry 5. $5\times7=35$, plus 5 is 40: write 0, carry 4. $3\times7=21$, plus 4 is 25.

Answer: 2,506

Exercise 3 – Multiply by a multiple of ten

$63\times4=252$. Then multiply by 10: 2,520.

Answer: 2,520

Exercise 4 – Area model 34 times 26

$30\times20=600$, $4\times20=80$, $30\times6=180$, $4\times6=24$.

Add: $600+80+180+24=884$.

Answer: 884

The four partial products.

Exercise 5 – Two digits by two digits

$78\times5=390$. $78\times40=3{,}120$.

Add: $390+3120=3510$.

Answer: 3,510

Exercise 6 – Estimate first

Estimate: 58 rounds to 60 and 31 rounds to 30. $60\times30=1{,}800$.

Exact: $58\times1=58$ and $58\times30=1{,}740$. $58+1740=1798$.

Answer: estimate 1,800, exact 1,798

Exercise 7 – Three digits by two digits

$246\times5=1{,}230$. $246\times30=7{,}380$.

Add: $1230+7380=8610$.

Answer: 8,610

246 × 35 = 8,610.

Exercise 8 – Zero in the middle

$507\times8=4{,}056$. $507\times20=10{,}140$.

Add: $4056+10140=14196$.

Answer: 14,196

Exercise 9 – Larger factors

$689\times7=4{,}823$. $689\times40=27{,}560$.

Add: $4823+27560=32383$.

Answer: 32,383

Exercise 10 – Zeros in a factor

$25\times36=900$ ($25\times6=150$ and $25\times30=750$). Then multiply by 10 because 250 is 25 tens.

$900\times10=9{,}000$.

Answer: 9,000

Exercise 11 – Three digits by three digits

$314\times5=1{,}570$. $314\times10=3{,}140$. $314\times200=62{,}800$.

Add: $1570+3140+62800=67510$.

Answer: 67,510

Exercise 12 – Four digits by two digits

$1{,}486\times2=2{,}972$. $1{,}486\times30=44{,}580$.

Add: $2972+44580=47552$.

Answer: 47,552

Exercise 13 – Draw an area model

$50\times30=1{,}500$, $2\times30=60$, $50\times7=350$, $2\times7=14$.

Add: $1500+60+350+14=1924$.

Answer: 1,924

Total 1,924.

Exercise 14 – Jamal's mistake

The 2 in 23 means 2 tens. Jamal forgot the placeholder zero, so he multiplied by 2 instead of 20.

Correct: $45\times20=900$. $135+900=1035$.

Answer: 1,035

Exercise 15 – Orange crates

$36\times48$: $36\times8=288$ and $36\times40=1{,}440$. $288+1440=1728$.

There are 1,728 oranges.

Exercise 16 – Road trip miles

$62\times4=248$ and $62\times10=620$. $248+620=868$.

The bus drives 868 miles.

Exercise 17 – Auditorium seats

$35\times8=280$ and $35\times20=700$. $280+700=980$.

There are 980 seats.

Exercise 18 – Bake sale money

Cookies: $15\times24=360$ ($15\times4=60$, $15\times20=300$).

Money: $360\times2=720$.

Answer: 360 cookies and $\$720$

Exercise 19 – Water bottles

Players: $12\times14=168$.

Bottles: $168\times3=504$.

Answer: 504 water bottles

Exercise 20 – Marker boxes

First kind: $125\times24=3{,}000$. Second kind: $36\times15=540$.

Total: $3000+540=3540$.

Answer: 3,540 markers

All Grade 5 chapters: Grade 5 math.

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