The Four Operations of Decimals Worksheet for 4th - 5th Grade ... - Free Printable

It looks like you've uploaded a worksheet titled "The Four Operations of Decimals" from "Tutorial World." The task involves solving decimal arithmetic problems using addition, subtraction, multiplication, and division. Let's go through each part step by step.

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Part A: Fill in the blanks

We'll solve each problem one at a time.

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1) 10.34 + 4.3 = ?

Add the decimals:

```
10.34
+ 4.30
-------
14.64
```

✔ Answer: 14.64

---

2) 0.51 ÷ 3 = ?

Divide:

0.51 ÷ 3 = 0.17

(Think: 51 ÷ 3 = 17 → so 0.51 ÷ 3 = 0.17)

✔ Answer: 0.17

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3) 41.15 × 20.1 = ?

Multiply:

First, ignore decimals:
4115 × 201 = ?

Let’s compute:
- 4115 × 200 = 823,000
- 4115 × 1 = 4,115
- Total = 823,000 + 4,115 = 827,115

Now count decimal places:
- 41.15 has 2 decimal places
- 20.1 has 1 decimal place
- Total: 3 decimal places

So, 827,115 → move decimal 3 places left → 827.115

✔ Answer: 827.115

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4) 9.73 × 4.5 = ?

Multiply:

9.73 × 4.5

First, multiply as whole numbers:
973 × 45 = ?

Break it down:
- 973 × 40 = 38,920
- 973 × 5 = 4,865
- Total = 38,920 + 4,865 = 43,785

Decimal places:
- 9.73 → 2
- 4.5 → 1
- Total: 3 decimal places

So, 43,785 → 43.785

✔ Answer: 43.785

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5) 70.84 - 3.7 = ?

Subtract:

```
70.84
- 3.70
-------
67.14
```

✔ Answer: 67.14

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6) 8.61 ÷ 1.5 = ?

Divide:

To make it easier, multiply numerator and denominator by 10 to eliminate decimals:

86.1 ÷ 15

Now divide:

15 into 86 → 5 times (5×15=75), remainder 11
Bring down 1 → 111
15 into 111 → 7 times (7×15=105), remainder 6
Bring down 0 → 60
15 into 60 → 4 times

So: 5.74

✔ Answer: 5.74

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7) 35.05 ÷ 5 = ?

35.05 ÷ 5

5 into 35 → 7
5 into 0 → 0
5 into 5 → 1
So: 7.01

✔ Answer: 7.01

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8) 88.34 - 20.4 = ?

```
88.34
- 20.40
-------
67.94
```

✔ Answer: 67.94

---

9) 80.21 × 6 = ?

Multiply:

80.21 × 6 = ?

80 × 6 = 480
0.21 × 6 = 1.26
Total = 480 + 1.26 = 481.26

✔ Answer: 481.26

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10) 30.36 ÷ 4 = ?

30.36 ÷ 4

4 into 30 → 7 (7×4=28), remainder 2
Bring down 3 → 23
4 into 23 → 5 (5×4=20), remainder 3
Bring down 6 → 36
4 into 36 → 9

So: 7.59

✔ Answer: 7.59

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11) 7.85 × 9 = ?

7.85 × 9

7 × 9 = 63
0.85 × 9 = 7.65
Total = 63 + 7.65 = 70.65

✔ Answer: 70.65

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12) 3.7 × 14 = ?

3.7 × 14

3 × 14 = 42
0.7 × 14 = 9.8
Total = 42 + 9.8 = 51.8

✔ Answer: 51.8

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Part B: Fill in the blanks

These are word problems involving decimal operations.

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1) 1.7 × ______ = hundredths

This is asking: what number multiplied by 1.7 gives a result in hundredths?

But this seems ambiguous. However, likely it means:

> What number multiplied by 1.7 gives a product that is expressed in hundredths? Or perhaps it's a typo.

Alternatively, maybe it's asking for a missing factor such that the product is a certain value.

Wait — let's look at the format:

"1.7 × ______ = hundredths"

Possibly it means: 1.7 × ? = some number with two decimal places, but without more context, it's unclear.

But perhaps it's asking: What is 1.7 times a number that results in a value expressed in hundredths? That doesn't help.

Alternatively, maybe it's a trick question.

Wait — another interpretation: perhaps the blank is to be filled with a number such that the product is a number with two decimal places.

But that could be anything.

Alternatively, maybe it's asking: 1.7 × ? = 100 hundredths = 1.00? But that would be:

1.7 × x = 1 → x = 1/1.7 ≈ 0.588...

Not clean.

Wait — maybe it's asking for how many hundredths are in 1.7?

1.7 = 170 hundredths

So: 1.7 = 170 × 0.01 → so 1.7 × 100 = 170 → but not matching.

Alternatively, maybe the question is:

1.7 × ___ = 100 hundredths = 1.00

Then: 1.7 × x = 1 → x = 1 / 1.7 = 10/17 ≈ 0.588

But that’s messy.

Alternatively, maybe it's asking: 1.7 × ___ = a number that is measured in hundredths — which is always true.

Wait — perhaps the intended meaning is:

> 1.7 × ___ = ____ hundredths

But no number is given.

Looking again: the original says:

1) 1.7 × ______ = hundredths

That seems incomplete.

Possibly it's a typo or formatting issue.

But looking at similar formats, maybe it's supposed to be:

> 1.7 × ___ = 100 hundredths

But still.

Alternatively, maybe it's asking: What is 1.7 times 100 hundredths?

100 hundredths = 1.00

So 1.7 × 1.00 = 1.7

But that doesn’t fit.

Wait — perhaps it's asking: How many hundredths are in 1.7?

1.7 = 170 hundredths → so answer is 170

So maybe the question is:
1.7 = ______ hundredths

Then answer: 170

Similarly:

2) 4.96 × 20 = _______ ths

"ths" likely means "tenths" or "hundredths"? Probably tenths or hundredths?

But 4.96 × 20 = ?

4.96 × 20 = 99.2

Now, 99.2 = 992 tenths → so if it asks for how many tenths, then 992

But the blank is after “ths”, so likely:

4.96 × 20 = _______ ths

→ So answer is 992 tenths → so blank is 992

But we need to know what unit.

Alternatively, maybe it's asking for how many tenths?

But let’s assume:

2) 4.96 × 20 = _______ tenths

Compute: 4.96 × 20 = 99.2

Now, 99.2 = 992 tenths (since 1 = 10 tenths, so 99.2 = 992 tenths)

✔ Answer: 992

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3) 2.08 kg = _______ grams

Convert kg to grams:

1 kg = 1000 g

So: 2.08 × 1000 = 2080 grams

✔ Answer: 2080

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4) 10 ÷ ______ = tenths

This is tricky.

10 ÷ ? = something in tenths

But again, not clear.

Maybe: 10 ÷ x = a number expressed in tenths?

But better interpretation: What number divided into 10 gives a result in tenths?

For example, 10 ÷ 10 = 1.0 → which is 10 tenths

But perhaps it's asking: 10 ÷ ? = 1 tenth = 0.1

Then: 10 ÷ x = 0.1 → x = 10 / 0.1 = 100

So: 10 ÷ 100 = 0.1 → which is 1 tenth

So answer: 100

But the blank is under the divisor.

So: 10 ÷ 100 = 0.1 → 0.1 is 1 tenth

So: 10 ÷ 100 = 1 tenth

So the blank is 100

✔ Answer: 100

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5) 0.3, 0.6, 0.9, ________

This is a sequence.

Each term increases by 0.3:

0.3 → 0.6 (+0.3) → 0.9 (+0.3) → next is 1.2

✔ Answer: 1.2

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✔ Final Answers Summary:

#### Part A:
1) 14.64
2) 0.17
3) 827.115
4) 43.785
5) 67.14
6) 5.74
7) 7.01
8) 67.94
9) 481.26
10) 7.59
11) 70.65
12) 51.8

#### Part B:
1) 170 (assuming: 1.7 = 170 hundredths)
2) 992 (since 4.96 × 20 = 99.2 = 992 tenths)
3) 2080 grams
4) 100 (since 10 ÷ 100 = 0.1 = 1 tenth)
5) 1.2

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⚠️ Note: Part B questions are ambiguously worded. The interpretations above are based on common patterns in math worksheets.

If you can clarify the exact wording or provide a clearer version of the image, I can refine these answers further.

Let me know!