Let's solve each problem step by step:
---
Problem a:
Eva partitions 362 into hundreds, tens, and ones. How would she write this down?
-
Step 1: Identify the place value of each digit in the number 362.
- The digit
3 is in the hundreds place, so it represents
300.
- The digit
6 is in the tens place, so it represents
60.
- The digit
2 is in the ones place, so it represents
2.
-
Step 2: Write the number as a sum of its place values.
\[
362 = 300 + 60 + 2
\]
-
Answer:
\[
\boxed{300 + 60 + 2}
\]
---
Problem b:
Gabriel partitioned the number below.
\[
300 + 20 + 9
\]
What number did he start with?
-
Step 1: Add the parts together to find the original number.
\[
300 + 20 + 9 = 329
\]
-
Answer:
\[
\boxed{329}
\]
---
Problem c:
Kevin partitions a number. What was the number?
\[
500 + 60 + 3
\]
-
Step 1: Add the parts together to find the original number.
\[
500 + 60 + 3 = 563
\]
-
Answer:
\[
\boxed{563}
\]
---
Problem d:
Mia’s dad forgot the four-digit password of his phone number lock. He told Mia that all he remembers is the first digit was worth 500. What is that number?
-
Step 1: Understand that the first digit being "worth 500" means it is in the hundreds place.
- If the first digit is in the hundreds place, it must be
5 (since \(5 \times 100 = 500\)).
-
Step 2: Since the problem does not provide information about the other digits, we assume the remaining digits are zeros to form the smallest possible four-digit number.
- Therefore, the number is
5000.
-
Answer:
\[
\boxed{5000}
\]
---
Problem e:
Michel says, “The value of the digit 3 in the number 345 is 300.” Is he correct? Explain.
-
Step 1: Identify the place value of the digit
3 in the number 345.
- The digit
3 is in the hundreds place, so its value is \(3 \times 100 = 300\).
-
Step 2: Compare Michel's statement with the actual value.
- Michel is correct because the value of the digit 3 in 345 is indeed 300.
-
Answer:
\[
\boxed{\text{Yes, Michel is correct.}}
\]
---
Problem f:
Michel’s sister says, “The value of the digit 4 in the number 345 is 40.” Is she correct? Explain.
-
Step 1: Identify the place value of the digit
4 in the number 345.
- The digit
4 is in the tens place, so its value is \(4 \times 10 = 40\).
-
Step 2: Compare Michel’s sister's statement with the actual value.
- Michel’s sister is correct because the value of the digit 4 in 345 is indeed 40.
-
Answer:
\[
\boxed{\text{Yes, Michel’s sister is correct.}}
\]
---
Problem g:
Michel’s youngest brother says, “The value of the digit 5 in the number 345 is 50.” Is he correct? Explain.
-
Step 1: Identify the place value of the digit
5 in the number 345.
- The digit
5 is in the ones place, so its value is \(5 \times 1 = 5\).
-
Step 2: Compare Michel’s youngest brother's statement with the actual value.
- Michel’s youngest brother is incorrect because the value of the digit 5 in 345 is 5, not 50.
-
Answer:
\[
\boxed{\text{No, Michel’s youngest brother is incorrect.}}
\]
---
Final Answers:
\[
\boxed{300 + 60 + 2, 329, 563, 5000, \text{Yes}, \text{Yes}, \text{No}}
\]
Parent Tip: Review the logic above to help your child master the concept of place value word problems worksheet.
