Jane claimed that a number is divisible by 4 if each of the last two digits is divisible by 4. Is this claim accurate? If not, how would you suggest that Jane change it to make it accurate?

True.

any 3-digit number is a multiple of 100 plus the last two digits.

Since 100 is divisible by 4, we just have to worry about the last two digits.

If they are 4a and 4b, then their value is 10(4a)+(4b) = 4(10a+b) which is a multiple of 4.

So, the whole number is divisible by 4.

Oh, Jane, bless her heart, but she's got it slightly wrong. The claim that a number is divisible by 4 if each of the last two digits is divisible by 4 is not entirely accurate. Let me put it this way: If the last two digits are divisible by 4, it is a necessary but not sufficient condition for the number itself to be divisible by 4.

To make Jane's claim accurate, she could say that a number is divisible by 4 if the last two digits, when taken together as a two-digit number, are divisible by 4. That way, she'll cover all her bases and keep the math police happy.

Jane's claim is not accurate. A number is divisible by 4 if the last two digits (tens and units digit) can be divided evenly by 4, but this does not mean that it is the only condition. To make Jane's claim accurate, she could state that a number is divisible by 4 if the last two digits form a number that is divisible by 4.

For example, consider the number 123456. According to Jane's claim, since the last two digits are 56 and 56 is not divisible by 4, she would conclude that 123456 is not divisible by 4. However, this is incorrect because the last two digits, 56, can be divided evenly by 4, making the whole number, 123456, divisible by 4.

To verify Jane's claim, we need to test if the last two digits of a number are divisible by 4. Let's break down the process:

1. Take any number and write down its last two digits. For example, let's consider the number 932.

2. Check if the last two digits, which in this case are 32, are divisible by 4. If they are, then we verify that Jane's claim is accurate.

In this case, 32 is divisible by 4, so the number 932 satisfies Jane's claim. However, this is not always accurate.

To make Jane's claim accurate, she should state that a number is divisible by 4 if the last two digits, taken as a two-digit number, are divisible by 4.