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Math practice worksheet with problems on rounding, multiplication, and number forms.

A math worksheet with various exercises including rounding numbers, comparing values, multiplication, identifying factors, writing numbers in expanded form, and solving word problems, decorated with a banner of flags at the top.

A math worksheet with various exercises including rounding numbers, comparing values, multiplication, identifying factors, writing numbers in expanded form, and solving word problems, decorated with a banner of flags at the top.

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Show Answer Key & Explanations Step-by-step solution for: 4th Grade End-of-the-Year Math Review | Math review, 4th grade ...
Let’s go through each problem one by one, step by step. I’ll solve them carefully and check my work as I go.

---

1) Give the place value of the 6 in 12,045.

Wait — look at the number: 12,045.
Digits: 1 (ten thousands), 2 (thousands), 0 (hundreds), 4 (tens), 5 (ones).
There is no 6 in 12,045!
This might be a typo. Maybe it was meant to be 12,645? Let’s assume that for now, since otherwise the question doesn’t make sense.

If the number is 12,645, then:
- 1 → ten thousands
- 2 → thousands
- 6 → hundreds
- 4 → tens
- 5 → ones

So if it’s 12,645, the 6 is in the hundreds place.

But wait — let me double-check the original image description. The user wrote “12,045” — but maybe it’s actually “12,645”? Since there’s no 6 in 12,045, this must be an error. In many worksheets, numbers like this are common. I’ll proceed assuming it’s 12,645.

→ Place value of 6 = hundreds

---

2) Round 3,734 to the nearest thousand.

Look at the thousands digit: 3 (in 3,734)
Next digit (hundreds place): 7
Since 7 ≥ 5, we round up.

So 3,734 → rounds to 4,000

Correct.

---

3) Compare: 6451 ___ 6332

Compare digit by digit from left:

- Thousands: both 6 → same
- Hundreds: 4 vs 3 → 4 > 3

So 6451 > 6332

Answer: >

---

4) Circle one: Prime or Composite 55

Prime = only divisible by 1 and itself
Composite = has more than two factors

55 ÷ 5 = 11 → so 5 × 11 = 55 → has factors other than 1 and 55 → composite

Circle: Composite

---

5) 85,883 + 72,345

Add:

```
85,883
+ 72,345
--------
```

Start from right:

3 + 5 = 8
8 + 4 = 12 → write 2, carry 1
8 + 3 + 1 = 12 → write 2, carry 1
5 + 2 + 1 = 8
8 + 7 = 15 → write 15

So: 158,228

Check with calculator-style:

85,883 + 72,345 =
85,000 + 72,000 = 157,000
883 + 345 = 1,228
Total: 157,000 + 1,228 = 158,228

Correct.

---

6) 92,948 - 46,643

Subtract:

```
92,948
- 46,643
--------
```

8 - 3 = 5
4 - 4 = 0
9 - 6 = 3
2 - 6 → can’t do → borrow from 9 → becomes 12 - 6 = 6, and 9 becomes 8
8 - 4 = 4

Wait — let’s do it properly:

Thousands column: 2 - 6 → need to borrow.

Actually:

Write it out:

92,948
- 46,643
= ?

From right:

8 - 3 = 5
4 - 4 = 0
9 - 6 = 3
2 - 6 → can’t → borrow from 9 (ten-thousands)

So 9 becomes 8, and 2 becomes 12 → 12 - 6 = 6
Then 8 - 4 = 4

So result: 46,305

Check: 46,643 + 46,305 = ?

46,643 + 46,305 =
46,000 + 46,000 = 92,000
643 + 305 = 948
Total: 92,948

Correct: 46,305

---

7) Solve for the rule and finish the pattern: 12, 24, 36, 48, ___, ___

Each number increases by 12.

12 + 12 = 24
24 + 12 = 36
36 + 12 = 48
48 + 12 = 60
60 + 12 = 72

Rule: Add 12

Next two: 60, 72

---

8) Give the first four multiples for 6.

Multiples of 6: 6×1, 6×2, 6×3, 6×4

→ 6, 12, 18, 24

First four: 6, 12, 18, 24

---

9) Give the factors for 36.

Factors = numbers that divide 36 evenly.

List pairs:

1 × 36
2 × 18
3 × 12
4 × 9
6 × 6

So all factors: 1, 2, 3, 4, 6, 9, 12, 18, 36

List: 1, 2, 3, 4, 6, 9, 12, 18, 36

---

10) Multiply: 21 × 15

Break it down:

21 × 15 = 21 × (10 + 5) = (21×10) + (21×5) = 210 + 105 = 315

Or:

21
× 15
----
105 ← 21×5
+210 ← 21×10 (shifted)
----
315

315

---

11) 3,000 is ___ times as many as 30.

How many times does 30 go into 3,000?

3,000 ÷ 30 = ?

Divide: 3,000 ÷ 30 = 100

Because 30 × 100 = 3,000

Answer: 100

---

12) Circle even or odd: 51

Even = ends in 0,2,4,6,8
Odd = ends in 1,3,5,7,9

51 ends in 1 → odd

Circle: odd

---

13) Write 12,451 in:

a) Expanded Form:
Break by place value:

10,000 + 2,000 + 400 + 50 + 1

b) Word Form:
Twelve thousand, four hundred fifty-one


Expanded: 10,000 + 2,000 + 400 + 50 + 1
Word: Twelve thousand, four hundred fifty-one

---

14) Multiply:

a) 71 × 10 = 710
b) 71 × 100 = 7,100
c) 71 × 1,000 = 71,000

(Just add zeros!)

Answers:
710
7,100
71,000

---

15) Round 342 + 237 = ?

First, add: 342 + 237

342 + 200 = 542
542 + 37 = 579

Now, round 579 to nearest... what? The problem says “Round 342 + 237 =”, but doesn’t specify to what place.

Looking back at the worksheet format — probably expects rounding to nearest hundred? Or maybe just compute and leave? But it says “Round”.

In context of other problems, likely round to nearest hundred.

579 → nearest hundred: look at tens digit (7) → 7≥5 → round up → 600

Alternatively, maybe they want you to round each number first?

Sometimes “round then add”:

342 → 300
237 → 200
Sum: 500

But that’s less accurate.

The problem says “Round 342 + 237 =”, which probably means compute sum, then round.

I think safest is to compute sum = 579, then round to nearest hundred → 600

But let’s see — in some curricula, they teach to round before adding for estimation.

However, since it says “Round [sum]”, I’ll go with computing first.

Final answer: 600 (rounded to nearest hundred)

---

16) What is the value of the 8 in 7,835?

Number: 7,835

Place values:

7 → thousands
8 → hundreds
3 → tens
5 → ones

So value of 8 is 800

800

---

Now, compiling all answers clearly:

---

Final Answer:

1) hundreds (assuming number is 12,645 — since 12,045 has no 6)
2) 4,000
3) >
4) Composite
5) 158,228
6) 46,305
7) Rule: Add 12; next numbers: 60, 72
8) 6, 12, 18, 24
9) 1, 2, 3, 4, 6, 9, 12, 18, 36
10) 315
11) 100
12) odd
13) Expanded: 10,000 + 2,000 + 400 + 50 + 1; Word: Twelve thousand, four hundred fifty-one
14) 710; 7,100; 71,000
15) 600 (after rounding 579 to nearest hundred)
16) 800
Parent Tip: Review the logic above to help your child master the concept of end of year worksheet 4th grade.
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