Decimals Worksheets | Dynamically Created Decimal Worksheets - Free Printable
Educational worksheet: Decimals Worksheets | Dynamically Created Decimal Worksheets. Download and print for classroom or home learning activities.
GIF
1000×1294
63.5 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #251413
⭐
Show Answer Key & Explanations
Step-by-step solution for: Decimals Worksheets | Dynamically Created Decimal Worksheets
▼
Show Answer Key & Explanations
Step-by-step solution for: Decimals Worksheets | Dynamically Created Decimal Worksheets
Explanation:
We are multiplying a decimal with one decimal place (like 312.3) by a single digit (like 6). The key is to treat it like regular multiplication first, then place the decimal point correctly.
Rule:
When you multiply a number with one decimal place by a whole number, the answer will also have one decimal place, because only one factor has a decimal.
So here’s how to do each problem:
1) 312.3 × 6
→ Multiply 3123 × 6 = 18738
→ Since 312.3 has one decimal place, put the decimal point one place from the right: 1873.8
Let’s verify a few more carefully to avoid mistakes:
2) 554.4 × 5
→ 5544 × 5 = 27720
→ One decimal place → 2772.0 → which is just 2772, but since the original had one decimal, we keep it as 2772.0 or simply 2772 — but per instruction, "put the decimal point in the correct place", so write 2772.0? Wait — actually, standard practice: if the decimal part is zero, we can drop it unless specified. But the problem says “remember to put the decimal point in the correct place”, so better to show it as 2772.0? Let's check the pattern.
Looking at all problems: all multiplicands have exactly one decimal digit (e.g., .3, .4, .5, etc.), and multipliers are integers. So product must have exactly one decimal place.
So even if the last digit is 0, we still write one decimal place — e.g., 2772.0.
But in elementary worksheets, often they accept 2772, but the instruction says *“Remember to put the decimal point in the answer in the correct place.”* So we’ll keep one decimal place in every answer.
Let me compute all 24 carefully using integer multiplication then insert decimal:
1) 312.3 × 6
3123 × 6 = 18738 → → 1873.8
2) 554.4 × 5
5544 × 5 = 27720 → 2772.0
3) 213.5 × 7
2135 × 7 = 14945 → 1494.5
4) 621.6 × 4
6216 × 4 = 24864 → 2486.4
5) 232.4 × 8
2324 × 8 = 18592 → 1859.2
6) 306.2 × 9
3062 × 9 = 27558 → 2755.8
7) 617.6 × 3
6176 × 3 = 18528 → 1852.8
8) 431.7 × 6
4317 × 6 = 25902 → 2590.2
9) 507.2 × 7
5072 × 7 = 35504 → 3550.4
10) 825.7 × 4
8257 × 4 = 33028 → 3302.8
11) 536.3 × 8
5363 × 8 = 42904 → 4290.4
12) 649.3 × 5
6493 × 5 = 32465 → 3246.5
13) 271.6 × 9
2716 × 9 = 24444 → 2444.4
14) 604.8 × 6
6048 × 6 = 36288 → 3628.8
15) 395.7 × 8
3957 × 8 = 31656 → 3165.6
16) 528.4 × 7
5284 × 7 = 36988 → 3698.8
17) 923.8 × 4
9238 × 4 = 36952 → 3695.2
18) 652.5 × 8
6525 × 8 = 52200 → 5220.0
19) 394.7 × 9
3947 × 9 = 35523 → 3552.3
20) 754.6 × 6
7546 × 6 = 45276 → 4527.6
21) 328.6 × 7
3286 × 7 = 23002 → 2300.2
22) 596.8 × 3
5968 × 3 = 17904 → 1790.4
23) 418.7 × 6
4187 × 6 = 25122 → 2512.2
24) 604.3 × 9
6043 × 9 = 54387 → 5438.7
Let me double-check a few that are easy to miscompute:
- #18: 652.5 × 8
652.5 × 8 = (600 × 8) + (50 × 8) + (2.5 × 8) = 4800 + 400 + 20 = 5220 → yes, 5220.0
- #21: 328.6 × 7
300×7=2100, 28×7=196, 0.6×7=4.2 → total = 2100+196+4.2 = 2300.2 ✔
- #24: 604.3 × 9
600×9=5400, 4×9=36, 0.3×9=2.7 → 5400+36+2.7 = 5438.7 ✔
All look correct.
Final Answer:
1) 1873.8
2) 2772.0
3) 1494.5
4) 2486.4
5) 1859.2
6) 2755.8
7) 1852.8
8) 2590.2
9) 3550.4
10) 3302.8
11) 4290.4
12) 3246.5
13) 2444.4
14) 3628.8
15) 3165.6
16) 3698.8
17) 3695.2
18) 5220.0
19) 3552.3
20) 4527.6
21) 2300.2
22) 1790.4
23) 2512.2
24) 5438.7
We are multiplying a decimal with one decimal place (like 312.3) by a single digit (like 6). The key is to treat it like regular multiplication first, then place the decimal point correctly.
Rule:
When you multiply a number with one decimal place by a whole number, the answer will also have one decimal place, because only one factor has a decimal.
So here’s how to do each problem:
1) 312.3 × 6
→ Multiply 3123 × 6 = 18738
→ Since 312.3 has one decimal place, put the decimal point one place from the right: 1873.8
Let’s verify a few more carefully to avoid mistakes:
2) 554.4 × 5
→ 5544 × 5 = 27720
→ One decimal place → 2772.0 → which is just 2772, but since the original had one decimal, we keep it as 2772.0 or simply 2772 — but per instruction, "put the decimal point in the correct place", so write 2772.0? Wait — actually, standard practice: if the decimal part is zero, we can drop it unless specified. But the problem says “remember to put the decimal point in the correct place”, so better to show it as 2772.0? Let's check the pattern.
Looking at all problems: all multiplicands have exactly one decimal digit (e.g., .3, .4, .5, etc.), and multipliers are integers. So product must have exactly one decimal place.
So even if the last digit is 0, we still write one decimal place — e.g., 2772.0.
But in elementary worksheets, often they accept 2772, but the instruction says *“Remember to put the decimal point in the answer in the correct place.”* So we’ll keep one decimal place in every answer.
Let me compute all 24 carefully using integer multiplication then insert decimal:
1) 312.3 × 6
3123 × 6 = 18738 → → 1873.8
2) 554.4 × 5
5544 × 5 = 27720 → 2772.0
3) 213.5 × 7
2135 × 7 = 14945 → 1494.5
4) 621.6 × 4
6216 × 4 = 24864 → 2486.4
5) 232.4 × 8
2324 × 8 = 18592 → 1859.2
6) 306.2 × 9
3062 × 9 = 27558 → 2755.8
7) 617.6 × 3
6176 × 3 = 18528 → 1852.8
8) 431.7 × 6
4317 × 6 = 25902 → 2590.2
9) 507.2 × 7
5072 × 7 = 35504 → 3550.4
10) 825.7 × 4
8257 × 4 = 33028 → 3302.8
11) 536.3 × 8
5363 × 8 = 42904 → 4290.4
12) 649.3 × 5
6493 × 5 = 32465 → 3246.5
13) 271.6 × 9
2716 × 9 = 24444 → 2444.4
14) 604.8 × 6
6048 × 6 = 36288 → 3628.8
15) 395.7 × 8
3957 × 8 = 31656 → 3165.6
16) 528.4 × 7
5284 × 7 = 36988 → 3698.8
17) 923.8 × 4
9238 × 4 = 36952 → 3695.2
18) 652.5 × 8
6525 × 8 = 52200 → 5220.0
19) 394.7 × 9
3947 × 9 = 35523 → 3552.3
20) 754.6 × 6
7546 × 6 = 45276 → 4527.6
21) 328.6 × 7
3286 × 7 = 23002 → 2300.2
22) 596.8 × 3
5968 × 3 = 17904 → 1790.4
23) 418.7 × 6
4187 × 6 = 25122 → 2512.2
24) 604.3 × 9
6043 × 9 = 54387 → 5438.7
Let me double-check a few that are easy to miscompute:
- #18: 652.5 × 8
652.5 × 8 = (600 × 8) + (50 × 8) + (2.5 × 8) = 4800 + 400 + 20 = 5220 → yes, 5220.0
- #21: 328.6 × 7
300×7=2100, 28×7=196, 0.6×7=4.2 → total = 2100+196+4.2 = 2300.2 ✔
- #24: 604.3 × 9
600×9=5400, 4×9=36, 0.3×9=2.7 → 5400+36+2.7 = 5438.7 ✔
All look correct.
Final Answer:
1) 1873.8
2) 2772.0
3) 1494.5
4) 2486.4
5) 1859.2
6) 2755.8
7) 1852.8
8) 2590.2
9) 3550.4
10) 3302.8
11) 4290.4
12) 3246.5
13) 2444.4
14) 3628.8
15) 3165.6
16) 3698.8
17) 3695.2
18) 5220.0
19) 3552.3
20) 4527.6
21) 2300.2
22) 1790.4
23) 2512.2
24) 5438.7
Parent Tip: Review the logic above to help your child master the concept of multiplication with decimals worksheets.
