Question

Is it true that 2/3 = 0.67 ? Explain your answer

Answer 1

2/3 is not quite 0.67. It is close, but they are not the same.
If you wanted to see for yourself, you could multiply both sides by 3:
2/3 = 0.67
3*2/3 = 3*0.67
Multiplying and dividing by 3 cancels each other, and the right side we can multiply out.
2 = 2.01
Close! But not exact!

Answer 2

do it and see in calculator

Answer 3

i mena when we divide 2/3 we get 0.66666666666666666 so we can say that its .67 isn't that right ??

Answer 4

0.67 is just an approximation of 2/3, really. 2/3 as a decimal is an infinite line of 6: 0.6666...., but we can say 2/3 is approximately 0.67, or approximately 0.6667, or 0.666666667. Each one is just a little closer.

Answer 5

and when woe multiply by 3 so its 2 =2.01 when we do nearest whole number so its 2 ???right

Answer 6

ohhh ok sir i trust you @accessDenied
@JerryCharles sorry

Answer 7

No worries! It is natural to want to shorten it by rounding since writing an infinite number of 6 is time consuming. Just be aware that any rounding will change the true value slightly as an expense to having a more compact number.

The way I'd write it is with two "squiggly" lines: \( 2/3 \approx 0.67 \), meaning its "close to" 0.67.

Answer 8

yeah right :)

Answer 9

@AccessDenied explained already

Answer 10

If 2/3 = 0.67 is a confusing example, it is sort of like saying 0 = 0.01. They're close, but they are not equal. Can you see that a bit more clearly?

Or, in terms of scaling up, you could technically round 56 to 100 (to the nearest hundreds place). 56 = 100 is pretty hard to say!

Answer 11

So 2/3 = 0.67 is false. They're close numbers, but they are not -exactly- equal like the equals sign implies.

Answer 12

That may work. The argument of multiplying both sides by 3 to get different numbers is very strong as well:
2/3 = 0.67
2/3 * 3 = 0.67 * 3
2 = 2.01
2 is not equal to 2.01, so 2/3 is not equal to 0.67 Whatever you think your teacher will consider a good enough explanation!

Answer 13

Glad to help! :)