Question

write the number below in expanded notation.
11,312
a. 100,000 + 1,000 + 300 + 20 + 1
b. 10,000 + 1,000 + 300 + 10 + 2
c. 10,000 + 3,000 + 100 + 10
d. 10,000 + 1,000 + 10 + 2

Explanation:

Step1: Analyze the digits in 11,312

The number 11,312 has digits in the ten - thousands, thousands, hundreds, tens, and ones places.

• The digit in the ten - thousands place: The left - most 1 is in the ten - thousands place, so its value is \(1\times10000 = 10000\)
• The digit in the thousands place: The next 1 is in the thousands place, so its value is \(1\times1000=1000\)
• The digit in the hundreds place: 3 is in the hundreds place, so its value is \(3\times100 = 300\)
• The digit in the tens place: 1 is in the tens place, so its value is \(1\times10=10\)
• The digit in the ones place: 2 is in the ones place, so its value is \(2\times1 = 2\)

Step2: Write the expanded form

When we write the number in expanded notation, we add up the values of each digit. So \(11312=10000 + 1000+300 + 10+2\)

Answer:

B. \(10,000 + 1,000 + 300 + 10 + 2\)