Question

Amir thinks of a number. He multiplies it by 100 The answer has the same digit in the thousands and hundreds columns. The total of all the digits is 8. What could the number be?

a) 80
b) 800
c) 620
d) 440

Answer 1

To find the possible number, we need to consider the properties of the digits when multiplied by 100. The number must have the same digit in the thousands and hundreds columns, and the total of the digits must be 8. Based on these criteria, the possible number is 800.

Step-by-step explanation:

To find the possible number, we need to think about the properties of the digits and their place values when multiplied by 100. Since the number has the same digit in the thousands and hundreds columns, the digit must be the same in both places. Additionally, the total of all the digits is 8.

Let's consider the answer choices:

1. 80: This number does not have the same digit in the thousands and hundreds columns (8 and 0 respectively) and the total of the digits is not 8 (it's 8+0=8).
2. 800: This number does have the same digit in the thousands and hundreds columns (8 and 0 respectively) and the total of the digits is 8 (8+0+0=8).
3. 620: This number does not have the same digit in the thousands and hundreds columns (6 and 2 respectively) and the total of the digits is not 8 (6+2+0=8).
4. 440: This number does not have the same digit in the thousands and hundreds columns (4 and 4 respectively) and the total of the digits is not 8 (4+4+0=8).

Therefore, the possible number is 800 (option b).