Let’s go through each problem one by one, step by step, and solve them carefully.
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Problem 1: What is the place value of the underlined digit?
We are given:
2,349 → The underline is under the
4.
In 2,349:
- 2 is in the thousands place
- 3 is in the hundreds place
-
4 is in the tens place ← that’s our answer
- 9 is in the ones place
Also:
1,496 → The underline is under the
1.
In 1,496:
-
1 is in the thousands place ← that’s our answer
- 4 is in the hundreds place
- 9 is in the tens place
- 6 is in the ones place
✔ So answers:
→ For 2,349:
Tens
→ For 1,496:
Thousands
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Problem 2: Write each number in expanded form
Expanded form means writing the number as the sum of each digit times its place value.
280:
- 2 is in hundreds → 200
- 8 is in tens → 80
- 0 is in ones → 0 (we can skip it)
So:
200 + 80
195:
- 1 is in hundreds → 100
- 9 is in tens → 90
- 5 is in ones → 5
So:
100 + 90 + 5
✔ Answers:
→ 280 =
200 + 80
→ 195 =
100 + 90 + 5
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Problem 3: Order the numbers from LEAST to GREATEST. Circle the EVEN numbers.
Numbers:
81, 23, 154
First, order them least to greatest:
Compare:
23 < 81 < 154
So ordered:
23, 81, 154
Now circle the EVEN numbers:
Even numbers end in 0, 2, 4, 6, or 8.
- 23 → ends in 3 → odd
- 81 → ends in 1 → odd
- 154 → ends in 4 →
even ← circle this one
✔ Answer:
Ordered:
23, 81, 154
Circle:
154
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Problem 4: Write 4 equations where the difference is equal to 5
“Difference” means subtraction result.
We need 4 subtraction equations that equal 5.
Examples:
- 6 - 1 = 5
- 7 - 2 = 5
- 8 - 3 = 5
- 9 - 4 = 5
(You could also use bigger numbers like 10 - 5 = 5, etc.)
✔ Any 4 correct ones work. Let’s pick:
→ 6 - 1 = 5
→ 7 - 2 = 5
→ 8 - 3 = 5
→ 9 - 4 = 5
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Problem 5: Round each number to the nearest 10
Rule: Look at the ones digit.
- If 0–4 → round down
- If 5–9 → round up
34 → ones digit is 4 → round down →
30
188 → ones digit is 8 → round up →
190
246 → ones digit is 6 → round up →
250
✔ Answers:
→ 34 →
30
→ 188 →
190
→ 246 →
250
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Problem 6: Round each number to the nearest 100
Rule: Look at the tens digit.
- If 0–4 → round down
- If 5–9 → round up
119 → tens digit is 1 → round down →
100
352 → tens digit is 5 → round up →
400
536 → tens digit is 3 → round down →
500
✔ Answers:
→ 119 →
100
→ 352 →
400
→ 536 →
500
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Problem 7: Use a strategy to find the sum
Addition problems:
320 + 234
Break it down:
320 + 200 = 520
520 + 30 = 550
550 + 4 = 554
Or vertically:
320
+ 234
------
554
✔
572 + 463
572 + 400 = 972
972 + 60 = 1032
1032 + 3 = 1035
Or vertically:
572
+ 463
------
1035
✔
✔ Answers:
→ 320 + 234 =
554
→ 572 + 463 =
1035
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Problem 8: Use a strategy to find the difference
Subtraction problems:
357 - 135
357 - 100 = 257
257 - 30 = 227
227 - 5 = 222
Or vertically:
357
- 135
------
222
✔
781 - 568
781 - 500 = 281
281 - 60 = 221
221 - 8 = 213
Or vertically:
781
- 568
------
213
✔
✔ Answers:
→ 357 - 135 =
222
→ 781 - 568 =
213
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Final Answer:
1. Tens; Thousands
2. 200 + 80; 100 + 90 + 5
3. 23, 81, 154; circle 154
4. Example: 6-1=5, 7-2=5, 8-3=5, 9-4=5
5. 30; 190; 250
6. 100; 400; 500
7. 554; 1035
8. 222; 213
Parent Tip: Review the logic above to help your child master the concept of 3rd grade math test.