Question

Clue #1: It is greater than 500.

Clue #2: The hundreds digit is even.
Clue #3: You use a total of 20 base ten blocks to show this number. 5 of the blocks are tens blocks.
Clue #4: There are 4 more ones blocks than tens blocks.

What is the mystery number?

a. 542
b. 562
c. 582
d. 552

Answer 1

To find the mystery number, we need to consider all the clues. The number that satisfies all the given clues is 582.

Step-by-step explanation:

To find the mystery number, we need to consider all the clues. Clue #1 tells us that the number is greater than 500. Clue #2 informs us that the hundreds digit is even, so it could be 5, 6, or 8. Clue #3 states that 20 base ten blocks are used to show the number, with 5 of them being tens blocks. Finally, Clue #4 mentions that there are 4 more ones blocks than tens blocks.

Based on these clues, the only option that satisfies all of them is option c. 582. Let's break it down:

• Hundreds digit is even: Yes, 5 is even.
• Greater than 500: Yes, 582 is greater.
• 20 base ten blocks with 5 tens blocks: 582 has 5 tens blocks.
• 4 more ones blocks than tens blocks: 582 has 4 + 5 = 9 ones blocks.

Therefore, the mystery number is 582.