Question

the value of the 2 in 821,507 is 10 times the value of the 2 in which number?
a. 584,962
b. 915,283
c. 107,428
d. 532,986

Explanation:

Step1: Find place value of 2 in 821,507

In 821,507, the 2 is in the ten - thousands place. So its place value is \(2\times10,000 = 20,000\). We need to find a number where the place value of 2 is \(20,000\div10=2,000\) (since the value of 2 in 821,507 is 10 times the value of 2 in the required number). A place value of 2,000 means the 2 is in the thousands place.

Step2: Analyze each option

• Option A: 584,962. The 2 is in the ones place. Place value is \(2\times1 = 2\).
• Option B: 915,283. The 2 is in the hundreds place. Place value is \(2\times100=200\).
• Option C: 107,428. The 2 is in the tens place. Place value is \(2\times10 = 20\).
• Option D: 532,986. The 2 is in the thousands place. Place value is \(2\times1000=2000\).

Answer:

D. 532,986