Math worksheet for practicing multiplication of decimals with two decimal places by single-digit numbers.
A worksheet titled "Multiplication - 3 Digits Decimals" featuring 20 problems that involve multiplying decimals with two decimal places by single-digit numbers (2, 3, 4, or 5).
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Show Answer Key & Explanations
Step-by-step solution for: 5th Grade Worksheets Math and English | 5th grade worksheets, 5th ...
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Show Answer Key & Explanations
Step-by-step solution for: 5th Grade Worksheets Math and English | 5th grade worksheets, 5th ...
Let’s solve each multiplication problem step by step. We’re multiplying a decimal with two places (hundredths) by a single digit: 2, 3, 4, or 5.
We’ll do this carefully — multiply as if they were whole numbers first, then put the decimal point back in the right place (two digits from the right).
---
1) 1.21 × 3
→ 121 × 3 = 363
→ Put decimal two places from right → 3.63
2) 2.32 × 5
→ 232 × 5 = 1160
→ Two decimal places → 11.60 (or just 11.6)
But since we’re keeping hundredths, write as 11.60
Actually, let’s keep it simple and accurate: 2.32 × 5 = 11.60 → but usually we drop trailing zero → 11.6
Wait — instruction says “decimals with two decimal places” — so maybe keep two? Let’s check: original numbers have two decimals, multiplier is whole number → answer should have two decimals unless it ends in zero.
But for accuracy, we’ll compute exactly.
Better to do:
2.32 × 5:
2 × 5 = 10
0.3 × 5 = 1.5
0.02 × 5 = 0.10
Total: 10 + 1.5 = 11.5 + 0.10 = 11.60
So yes, 11.60 — but often written as 11.6. Since worksheet has dots under line for decimal, probably expect two digits.
Looking at layout: all problems show “.” under the line — meaning they want you to place decimal correctly. So we’ll give answers with correct decimal placement.
Let me recalculate all precisely.
I’ll go one by one and double-check.
---
1) 1.21 × 3
1.21
× 3
------
3.63 ← because 1×3=3, 0.2×3=0.6, 0.01×3=0.03 → total 3.63 ✔
2) 2.32 × 5
2.32
× 5
------
11.60 ← 2×5=10, 0.3×5=1.5, 0.02×5=0.10 → 10+1.5=11.5+0.10=11.60 ✔
3) 4.16 × 2
4.16
× 2
------
8.32 ← 4×2=8, 0.1×2=0.2, 0.06×2=0.12 → 8+0.2=8.2+0.12=8.32 ✔
4) 3.24 × 3
3.24
× 3
------
9.72 ← 3×3=9, 0.2×3=0.6, 0.04×3=0.12 → 9+0.6=9.6+0.12=9.72 ✔
5) 1.07 × 4
1.07
× 4
------
4.28 ← 1×4=4, 0.0×4=0, 0.07×4=0.28 → 4+0.28=4.28 ✔
6) 3.54 × 2
3.54
× 2
------
7.08 ← 3×2=6, 0.5×2=1.0, 0.04×2=0.08 → 6+1.0=7.0+0.08=7.08 ✔
7) 6.23 × 3
6.23
× 3
------
18.69 ← 6×3=18, 0.2×3=0.6, 0.03×3=0.09 → 18+0.6=18.6+0.09=18.69 ✔
8) 5.11 × 5
5.11
× 5
------
25.55 ← 5×5=25, 0.1×5=0.5, 0.01×5=0.05 → 25+0.5=25.5+0.05=25.55 ✔
9) 4.24 × 4
4.24
× 4
------
16.96 ← 4×4=16, 0.2×4=0.8, 0.04×4=0.16 → 16+0.8=16.8+0.16=16.96 ✔
10) 1.57 × 5
1.57
× 5
------
7.85 ← 1×5=5, 0.5×5=2.5, 0.07×5=0.35 → 5+2.5=7.5+0.35=7.85 ✔
11) 6.34 × 2
6.34
× 2
------
12.68 ← 6×2=12, 0.3×2=0.6, 0.04×2=0.08 → 12+0.6=12.6+0.08=12.68 ✔
12) 2.81 × 3
2.81
× 3
------
8.43 ← 2×3=6, 0.8×3=2.4, 0.01×3=0.03 → 6+2.4=8.4+0.03=8.43 ✔
13) 4.63 × 4
4.63
× 4
------
18.52 ← 4×4=16, 0.6×4=2.4, 0.03×4=0.12 → 16+2.4=18.4+0.12=18.52 ✔
14) 6.75 × 2
6.75
× 2
------
13.50 ← 6×2=12, 0.7×2=1.4, 0.05×2=0.10 → 12+1.4=13.4+0.10=13.50 → can write as 13.5, but since input had two decimals, output should too? Actually, 13.50 is fine, but often simplified.
In math, 13.50 = 13.5 — but for consistency with worksheet format (which shows decimal point), we’ll write as 13.50? Wait, looking at problem 2: 2.32×5=11.60 — same thing.
But in actual practice, we don’t need trailing zeros. However, since the worksheet says “multiply these decimals with two decimal places”, and doesn’t specify to simplify, I think we should report exact value — which may include .00 or .x0.
But let’s see: 6.75 × 2:
6.75
× 2
------
13.50 → yes, that’s correct. But typically written as 13.5.
To avoid confusion, I’ll follow standard math convention: remove unnecessary trailing zeros after decimal.
So 13.50 → 13.5
Similarly, 11.60 → 11.6
But wait — let’s check problem 15: 5.27 × 5 = ?
5.27 × 5:
5×5=25, 0.2×5=1.0, 0.07×5=0.35 → 25+1.0=26.0+0.35=26.35 → no trailing zero.
Problem 16: 6.48 × 4 = ?
6×4=24, 0.4×4=1.6, 0.08×4=0.32 → 24+1.6=25.6+0.32=25.92 → no issue.
So only when result ends in .x0, we might simplify.
I think for school worksheets, they accept both, but better to write without trailing zero unless specified.
Let me confirm with an example: if you have 2.50, it’s same as 2.5.
So I’ll write answers without trailing zeros after decimal, except if it’s whole number like 10.00 → but here none are whole.
Actually, let’s look at problem 14 again: 6.75 × 2 = 13.50 → which is 13.5
Similarly, problem 2: 2.32 × 5 = 11.60 → 11.6
Okay, I’ll go with simplified form.
But to be safe, let’s calculate numerically:
Use calculator-style thinking:
1.21 * 3 = 3.63
2.32 * 5 = 11.6
4.16 * 2 = 8.32
3.24 * 3 = 9.72
1.07 * 4 = 4.28
3.54 * 2 = 7.08
6.23 * 3 = 18.69
5.11 * 5 = 25.55
4.24 * 4 = 16.96
1.57 * 5 = 7.85
6.34 * 2 = 12.68
2.81 * 3 = 8.43
4.63 * 4 = 18.52
6.75 * 2 = 13.5
5.27 * 5 = 26.35
6.48 * 4 = 25.92
9.84 * 3 = 29.52
7.39 * 5 = 36.95
8.66 * 2 = 17.32
5.77 * 4 = 23.08
All seem correct.
Now list them in order:
Final Answers:
1) 3.63
2) 11.6
3) 8.32
4) 9.72
5) 4.28
6) 7.08
7) 18.69
8) 25.55
9) 16.96
10) 7.85
11) 12.68
12) 8.43
13) 18.52
14) 13.5
15) 26.35
16) 25.92
17) 29.52
18) 36.95
19) 17.32
20) 23.08
Double-check a few more:
Problem 17: 9.84 × 3
9×3=27, 0.8×3=2.4, 0.04×3=0.12 → 27+2.4=29.4+0.12=29.52 ✔
Problem 18: 7.39 × 5
7×5=35, 0.3×5=1.5, 0.09×5=0.45 → 35+1.5=36.5+0.45=36.95 ✔
Problem 19: 8.66 × 2
8×2=16, 0.6×2=1.2, 0.06×2=0.12 → 16+1.2=17.2+0.12=17.32 ✔
Problem 20: 5.77 × 4
5×4=20, 0.7×4=2.8, 0.07×4=0.28 → 20+2.8=22.8+0.28=23.08 ✔
All good.
Note: For problem 14, 6.75 × 2 = 13.5 — some might write 13.50, but 13.5 is correct and simpler.
Similarly, problem 2: 11.6 not 11.60.
I think that’s acceptable.
If the worksheet expects two decimal places always, then we’d write 11.60 and 13.50 — but since the instruction says “multiply these decimals with two decimal places by...”, it refers to the multiplicand, not necessarily the product.
And in math, we simplify.
Moreover, looking at the layout, there’s a dot under the line for decimal — so as long as decimal is placed correctly, it’s fine.
So I’ll go with simplified versions.
Final Answer:
1) 3.63
2) 11.6
3) 8.32
4) 9.72
5) 4.28
6) 7.08
7) 18.69
8) 25.55
9) 16.96
10) 7.85
11) 12.68
12) 8.43
13) 18.52
14) 13.5
15) 26.35
16) 25.92
17) 29.52
18) 36.95
19) 17.32
20) 23.08
We’ll do this carefully — multiply as if they were whole numbers first, then put the decimal point back in the right place (two digits from the right).
---
1) 1.21 × 3
→ 121 × 3 = 363
→ Put decimal two places from right → 3.63
2) 2.32 × 5
→ 232 × 5 = 1160
→ Two decimal places → 11.60 (or just 11.6)
But since we’re keeping hundredths, write as 11.60
Actually, let’s keep it simple and accurate: 2.32 × 5 = 11.60 → but usually we drop trailing zero → 11.6
Wait — instruction says “decimals with two decimal places” — so maybe keep two? Let’s check: original numbers have two decimals, multiplier is whole number → answer should have two decimals unless it ends in zero.
But for accuracy, we’ll compute exactly.
Better to do:
2.32 × 5:
2 × 5 = 10
0.3 × 5 = 1.5
0.02 × 5 = 0.10
Total: 10 + 1.5 = 11.5 + 0.10 = 11.60
So yes, 11.60 — but often written as 11.6. Since worksheet has dots under line for decimal, probably expect two digits.
Looking at layout: all problems show “.” under the line — meaning they want you to place decimal correctly. So we’ll give answers with correct decimal placement.
Let me recalculate all precisely.
I’ll go one by one and double-check.
---
1) 1.21 × 3
1.21
× 3
------
3.63 ← because 1×3=3, 0.2×3=0.6, 0.01×3=0.03 → total 3.63 ✔
2) 2.32 × 5
2.32
× 5
------
11.60 ← 2×5=10, 0.3×5=1.5, 0.02×5=0.10 → 10+1.5=11.5+0.10=11.60 ✔
3) 4.16 × 2
4.16
× 2
------
8.32 ← 4×2=8, 0.1×2=0.2, 0.06×2=0.12 → 8+0.2=8.2+0.12=8.32 ✔
4) 3.24 × 3
3.24
× 3
------
9.72 ← 3×3=9, 0.2×3=0.6, 0.04×3=0.12 → 9+0.6=9.6+0.12=9.72 ✔
5) 1.07 × 4
1.07
× 4
------
4.28 ← 1×4=4, 0.0×4=0, 0.07×4=0.28 → 4+0.28=4.28 ✔
6) 3.54 × 2
3.54
× 2
------
7.08 ← 3×2=6, 0.5×2=1.0, 0.04×2=0.08 → 6+1.0=7.0+0.08=7.08 ✔
7) 6.23 × 3
6.23
× 3
------
18.69 ← 6×3=18, 0.2×3=0.6, 0.03×3=0.09 → 18+0.6=18.6+0.09=18.69 ✔
8) 5.11 × 5
5.11
× 5
------
25.55 ← 5×5=25, 0.1×5=0.5, 0.01×5=0.05 → 25+0.5=25.5+0.05=25.55 ✔
9) 4.24 × 4
4.24
× 4
------
16.96 ← 4×4=16, 0.2×4=0.8, 0.04×4=0.16 → 16+0.8=16.8+0.16=16.96 ✔
10) 1.57 × 5
1.57
× 5
------
7.85 ← 1×5=5, 0.5×5=2.5, 0.07×5=0.35 → 5+2.5=7.5+0.35=7.85 ✔
11) 6.34 × 2
6.34
× 2
------
12.68 ← 6×2=12, 0.3×2=0.6, 0.04×2=0.08 → 12+0.6=12.6+0.08=12.68 ✔
12) 2.81 × 3
2.81
× 3
------
8.43 ← 2×3=6, 0.8×3=2.4, 0.01×3=0.03 → 6+2.4=8.4+0.03=8.43 ✔
13) 4.63 × 4
4.63
× 4
------
18.52 ← 4×4=16, 0.6×4=2.4, 0.03×4=0.12 → 16+2.4=18.4+0.12=18.52 ✔
14) 6.75 × 2
6.75
× 2
------
13.50 ← 6×2=12, 0.7×2=1.4, 0.05×2=0.10 → 12+1.4=13.4+0.10=13.50 → can write as 13.5, but since input had two decimals, output should too? Actually, 13.50 is fine, but often simplified.
In math, 13.50 = 13.5 — but for consistency with worksheet format (which shows decimal point), we’ll write as 13.50? Wait, looking at problem 2: 2.32×5=11.60 — same thing.
But in actual practice, we don’t need trailing zeros. However, since the worksheet says “multiply these decimals with two decimal places”, and doesn’t specify to simplify, I think we should report exact value — which may include .00 or .x0.
But let’s see: 6.75 × 2:
6.75
× 2
------
13.50 → yes, that’s correct. But typically written as 13.5.
To avoid confusion, I’ll follow standard math convention: remove unnecessary trailing zeros after decimal.
So 13.50 → 13.5
Similarly, 11.60 → 11.6
But wait — let’s check problem 15: 5.27 × 5 = ?
5.27 × 5:
5×5=25, 0.2×5=1.0, 0.07×5=0.35 → 25+1.0=26.0+0.35=26.35 → no trailing zero.
Problem 16: 6.48 × 4 = ?
6×4=24, 0.4×4=1.6, 0.08×4=0.32 → 24+1.6=25.6+0.32=25.92 → no issue.
So only when result ends in .x0, we might simplify.
I think for school worksheets, they accept both, but better to write without trailing zero unless specified.
Let me confirm with an example: if you have 2.50, it’s same as 2.5.
So I’ll write answers without trailing zeros after decimal, except if it’s whole number like 10.00 → but here none are whole.
Actually, let’s look at problem 14 again: 6.75 × 2 = 13.50 → which is 13.5
Similarly, problem 2: 2.32 × 5 = 11.60 → 11.6
Okay, I’ll go with simplified form.
But to be safe, let’s calculate numerically:
Use calculator-style thinking:
1.21 * 3 = 3.63
2.32 * 5 = 11.6
4.16 * 2 = 8.32
3.24 * 3 = 9.72
1.07 * 4 = 4.28
3.54 * 2 = 7.08
6.23 * 3 = 18.69
5.11 * 5 = 25.55
4.24 * 4 = 16.96
1.57 * 5 = 7.85
6.34 * 2 = 12.68
2.81 * 3 = 8.43
4.63 * 4 = 18.52
6.75 * 2 = 13.5
5.27 * 5 = 26.35
6.48 * 4 = 25.92
9.84 * 3 = 29.52
7.39 * 5 = 36.95
8.66 * 2 = 17.32
5.77 * 4 = 23.08
All seem correct.
Now list them in order:
Final Answers:
1) 3.63
2) 11.6
3) 8.32
4) 9.72
5) 4.28
6) 7.08
7) 18.69
8) 25.55
9) 16.96
10) 7.85
11) 12.68
12) 8.43
13) 18.52
14) 13.5
15) 26.35
16) 25.92
17) 29.52
18) 36.95
19) 17.32
20) 23.08
Double-check a few more:
Problem 17: 9.84 × 3
9×3=27, 0.8×3=2.4, 0.04×3=0.12 → 27+2.4=29.4+0.12=29.52 ✔
Problem 18: 7.39 × 5
7×5=35, 0.3×5=1.5, 0.09×5=0.45 → 35+1.5=36.5+0.45=36.95 ✔
Problem 19: 8.66 × 2
8×2=16, 0.6×2=1.2, 0.06×2=0.12 → 16+1.2=17.2+0.12=17.32 ✔
Problem 20: 5.77 × 4
5×4=20, 0.7×4=2.8, 0.07×4=0.28 → 20+2.8=22.8+0.28=23.08 ✔
All good.
Note: For problem 14, 6.75 × 2 = 13.5 — some might write 13.50, but 13.5 is correct and simpler.
Similarly, problem 2: 11.6 not 11.60.
I think that’s acceptable.
If the worksheet expects two decimal places always, then we’d write 11.60 and 13.50 — but since the instruction says “multiply these decimals with two decimal places by...”, it refers to the multiplicand, not necessarily the product.
And in math, we simplify.
Moreover, looking at the layout, there’s a dot under the line for decimal — so as long as decimal is placed correctly, it’s fine.
So I’ll go with simplified versions.
Final Answer:
1) 3.63
2) 11.6
3) 8.32
4) 9.72
5) 4.28
6) 7.08
7) 18.69
8) 25.55
9) 16.96
10) 7.85
11) 12.68
12) 8.43
13) 18.52
14) 13.5
15) 26.35
16) 25.92
17) 29.52
18) 36.95
19) 17.32
20) 23.08
Parent Tip: Review the logic above to help your child master the concept of fifth grade math printable worksheet.