Place Value Problem: Finding Numbers with Hundreds Digit 5 and Units Digit 7

Q: How do I remember which digit is which place value?

Start from the right side and count: units (ones), tens, hundreds. Think of it as 1-2-3 from right to left. For 587: 7 is position 1 (units), 8 is position 2 (tens), 5 is position 3 (hundreds).

Q: Why are both 587 and 517 correct answers?

Both numbers have exactly what we need: a 5 in the hundreds place and a 7 in the units place. The tens digit can be anything - it doesn't matter for this problem!

Q: Does the order of the digits matter?

Absolutely! The position determines the place value. $ 587 $ and $ 785 $ have the same digits but different place values. Position matters more than the actual digits!

Q: How can I double-check my work?

Write the number with place value labels underneath:$ 587 $H T U (Hundreds, Tens, Units)5 8 7This makes it easy to see which digit is in which place!

Place Value Identification with Multiple Solutions

Which number(s) has a hundreds digit of 5 and a units digit of 7?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Which number(s) has a hundreds digit of 5 and a units digit of 7?

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Analyze each number into its hundreds, tens, and units digits.
Step 2: Check for a hundreds digit of 5 and a units digit of 7.

Here are the given numbers:

$587$ : Hundreds $= 5$ , Units $= 7$ .
$517$ : Hundreds $= 5$ , Units $= 7$ .
$570$ : Hundreds $= 5$ , Units $= 0$ .

Now, let's identify which numbers meet the criteria:
- $587$ has a hundreds digit of 5 and a units digit of 7, so it meets the criteria.
- $517$ also has a hundreds digit of 5 and a units digit of 7, meeting the criteria.
- $570$ does not meet the criteria because its units digit is 0.

Therefore, both numbers $587$ and $517$ meet the condition. According to the choices given:

The correct answer is: Equations (a) and (b) are correct.

Final Answer

Equations (a) and (b) are correct.

Key Points to Remember

Essential concepts to master this topic

Rule: Hundreds digit is the third position from the right
Technique: For 587, separate as 5|8|7 where 5 is hundreds
Check: Both 587 and 517 have hundreds = 5 and units = 7 ✓

Common Mistakes

Avoid these frequent errors

Confusing tens and hundreds place values
Don't count positions from the left or mix up place values = wrong identification! Students often think the first digit is always hundreds. Always count from right: units (1st), tens (2nd), hundreds (3rd).

Practice Quiz

Test your knowledge with interactive questions

What number do the blue squares below represent?

FAQ

Everything you need to know about this question

How do I remember which digit is which place value?

Start from the right side and count: units (ones), tens, hundreds. Think of it as 1-2-3 from right to left. For 587: 7 is position 1 (units), 8 is position 2 (tens), 5 is position 3 (hundreds).

Why are both 587 and 517 correct answers?

Both numbers have exactly what we need: a 5 in the hundreds place and a 7 in the units place. The tens digit can be anything - it doesn't matter for this problem!

What if a number has fewer than 3 digits?

Numbers with fewer than 3 digits don't have a hundreds place! For example, 57 only has tens and units places, so it can't have a hundreds digit of 5.

Does the order of the digits matter?

Absolutely! The position determines the place value. $587$ and $785$ have the same digits but different place values. Position matters more than the actual digits!

How can I double-check my work?

Write the number with place value labels underneath:

$587$
H T U (Hundreds, Tens, Units)
5 8 7

This makes it easy to see which digit is in which place!

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