Show different ways you can make 7502 using hundreds tens and ones
The correct answer and explanation is:
To make the number 7,502 using hundreds, tens, and ones, we can represent it in different combinations by breaking down thousands into hundreds, and sometimes using fewer tens or ones. Here are several different ways to represent 7,502:
Standard Way (Using Place Value):
- Thousands: 7,000
- Hundreds: 5
- Tens: 0
- Ones: 2
✅ This is the usual way:
7,502 = 7 thousands + 5 hundreds + 0 tens + 2 ones
Convert Thousands into Hundreds:
- Hundreds: 70 (from 7,000) + 5 = 75 hundreds
- Tens: 0
- Ones: 2
✅ 7,502 = 75 hundreds + 0 tens + 2 ones
Convert Some Hundreds into Tens:
- Thousands: 7,000
- Hundreds: 4
- Tens: 10 (100 = 10 tens)
- Ones: 2
✅ 7,502 = 7,000 + 4 hundreds + 10 tens + 2 ones
Convert All to Hundreds and Ones:
- Hundreds: 750 (from 7,500)
- Tens: 0
- Ones: 2
✅ 7,502 = 750 hundreds + 0 tens + 2 ones
Convert Some Hundreds into Ones:
- Thousands: 7,000
- Hundreds: 2
- Tens: 0
- Ones: 502 (from 5 hundreds = 500 + 2)
✅ 7,502 = 7,000 + 2 hundreds + 0 tens + 502 ones
Explanation (300 Words):
The number 7,502 can be expressed in many different ways using hundreds, tens, and ones by applying knowledge of place value and regrouping. In the base-10 system, each digit represents a different power of 10. Normally, 7,502 consists of 7 thousands (7,000), 5 hundreds (500), 0 tens, and 2 ones. However, numbers can be regrouped. For example, 1 thousand equals 10 hundreds, and 1 hundred equals 10 tens.
By converting thousands into hundreds, we express 7,000 as 70 hundreds, and then add the remaining 5 hundreds to make 75 hundreds. This is useful for understanding equivalence in numerical value. Similarly, hundreds can be broken down into tens — for example, replacing 1 hundred with 10 tens. This allows for creative ways of writing the same number with different digit groupings.
These methods are particularly valuable in early math education because they teach flexibility in numerical thinking. They also help students understand that there are multiple paths to the same total, building strong number sense. In more advanced mathematics and mental math, such skills make estimation and quick calculation easier.
By learning to regroup and break down numbers like 7,502 in various ways, students develop a deeper understanding of how our number system works and prepare themselves for more complex arithmetic and algebra.