Answer:
c. All numbers that can be divided by both 2 and 3 are divisible by 6.
[tex]\sf\large\bold{Answer:}[/tex]
c. All numbers that can be divided by both 2 and 3 are divisible by 6.
[tex]\sf\large\bold{Why?}[/tex]
So we're going to use a number that is divisible by 2 and 3 which is 48. So, 48 is divisible by 2 because we can get a whole number if we divide them.
= 48 ÷ 2 = 24
And, if we try to divide 48 by 3, we can get a whole number again if we divide them.
= 48 ÷ 3 = 16
Now, let's try to divide 48 by 6, to see if all the numbers that can be divided by 2 and 3 are divisible by 6.
= 48 ÷ 6 = 8
So, our answer is correct!
I'll try to give you 1 example.
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42
Let's start!
First, let's divide 42 by 2 first to confirm if 42 is divisible by 2.
= 42 ÷ 2 = 21
Okay, so we got a whole number, that means, 42 is divisible by 2. Now, try to divide 42 by 3.
= 42 ÷ 3 = 14
Now, for the confirmation, divide 42 by 6 to confirm if our answer is correct.
= 42 ÷ 6 = 7
Alright! We got a whole number! That means, our answer is correct!
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If you think that all numbers that are divisible by 3 are also divisible by 9, you're wrong. Some numbers that are divisible by 3 are also divisible by 9, not all are divisible by 9.
Say for example, let's try to divide 42 by 9.
= 42 ÷ 9 = 4.6666666667
Okay, so as you can see, we get a non-terminating quotient so 42 is not divisible by 9.
I hope this answer helps you.