Math Problem Statement
Here are four digits: 0, 1, 2, 4. Write a different digit in each box so that each number is divisible by 4: 28_, 430_, 55_, 1_6.
Solution
To solve this problem:
Instructions:
We need to fill the boxes with digits (from 0, 1, 2, and 4) so that:
- Each number is divisible by 4.
- Each digit must be used only once.
Step-by-step solution:
Key rule for divisibility by 4:
- A number is divisible by 4 if the number formed by its last two digits is divisible by 4.
Solutions for each number:
-
28_:
- The number ends in
28
. For the third digit, we choose a number from the available set{0, 1, 2, 4}
. If2
is used, the full number becomes 280, which is divisible by 4.
- The number ends in
-
430_:
- This number ends in
30_
. For divisibility by 4, we use4
, forming the number 4304, which is divisible by 4.
- This number ends in
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Math Problem Analysis
Mathematical Concepts
Divisibility Rules
Number Properties
Formulas
A number is divisible by 4 if its last two digits are divisible by 4.
Theorems
-
Suitable Grade Level
Grades 5-7