Definition:

Finding missing numbers in expanded form involves identifying the missing place value that completes the given number. To find the missing number, examine each place value to understand what is missing.

Example 1:

Find the missing number in the expanded form:
3000+500+___+3=3,583.

Solution:

1. Break down the standard number, 3,583, by place values:
   • Thousands: 3000
   • Hundreds: 500
   • Tens: 80
   • Ones: 3
2. Compare the expanded form with the given components to find the missing value.

Answer: The missing number is 80, so 3000+500+80+3=3,583.

Example 2:

Problem: Find the missing number in the expanded form:
40000+___+300+20+7=45,327.

Solution:

1. Break down the standard number, 45,327, by place values:
   • Ten thousand: 40000
   • Thousands: 5000
   • Hundreds: 300
   • Tens: 20
   • Ones: 7
2. The missing place value is the thousands.

Answer: The missing number is 5000, so 40000+5000+300+20+7=45,327.

Example 3:

Problem: Find the missing number in the expanded form:
___+2000+600+50+9=12,659.

Solution:

1. Break down the standard number, 12,659, by place values:
   • Ten thousand: 10000
   • Thousands: 2000
   • Hundreds: 600
   • Tens: 50
   • Ones: 9
2. The missing place value is 10,000.

Answer: The missing number is 10000, so 10000+2000+600+50+9=12,659.

Example 4:

Problem: Find the missing number in the expanded form:
80000+9000+___+70+2=89,372.

Solution:

1. Break down the standard number, 89,372, by place values:
   • Ten thousand: 80000
   • Thousands: 9000
   • Hundreds: 300
   • Tens: 70
   • Ones: 2
2. The missing place value is the hundreds.

Answer: The missing number is 300, so 80000+9000+300+70+2=89,372.

Let's practice solving place values, and stay tuned with us for more content.