Let's solve each of these
Place Value: Word Problems step by step and explain the reasoning behind each answer.
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1. My school has a population of 183 students. What is the value of the 8 in this number?
Step-by-step:
- The number is
183.
- Break it down by place value:
- 1 is in the
hundreds place → 100
- 8 is in the
tens place → 8 × 10 =
80
- 3 is in the
ones place → 3
✔ So, the
value of the 8 is
80.
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✔ Answer: 80
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2. A four-digit number has a 2 in the hundreds place, a 4 in the thousands place, a 6 in the tens place, and a 1 in the ones place. What is the number?
Step-by-step:
We need to build the number using place values:
-
Thousands place: 4 → 4000
-
Hundreds place: 2 → 200
-
Tens place: 6 → 60
-
Ones place: 1 → 1
Now add them up:
4000 + 200 + 60 + 1 =
4261
✔ So, the number is
4261.
>
✔ Answer: 4261
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3. There are 2,875 cars in the mall’s parking lot. What is the value of the 2 in this number?
Step-by-step:
- The number is
2,875.
- Break it down:
- 2 is in the
thousands place → 2 × 1000 =
2000
- 8 is in the hundreds → 800
- 7 is in the tens → 70
- 5 is in the ones → 5
✔ So, the
value of the 2 is
2000.
>
✔ Answer: 2000
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4. Sally and her friend found 8,658 shells on the beach. Write this number in word form.
Step-by-step:
- Break it into parts:
- 8,000 → eight thousand
- 600 → six hundred
- 50 → fifty
- 8 → eight
Combine them properly:
"Eight thousand, six hundred fifty-eight"
✔ Note: We don't use "and" unless specified (e.g., for decimals), so we just connect the parts.
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✔ Answer: Eight thousand, six hundred fifty-eight
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5. Robert collected four thousand, six hundred sixty-six cans. Write this number in standard form.
Step-by-step:
- "Four thousand" = 4000
- "Six hundred" = 600
- "Sixty-six" = 66
Add them:
4000 + 600 + 66 =
4666
✔ So, the standard form is
4666.
>
✔ Answer: 4666
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✔ Final Answers:
1.
80
2.
4261
3.
2000
4.
Eight thousand, six hundred fifty-eight
5.
4666
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Parent Tip: Review the logic above to help your child master the concept of place value word problems worksheet.
