Question

Explain why all of these expressions have the same value. 4500÷90 450÷9 45÷0.9 4.5÷0.09

Answer 1

Answer:

Both sides of the  first equation are divided by 10 to get the 2nd question so on and so forth...

Answer 2

Answer:

As the cycle continues, you will always get 50 as the answer since you are dividing both the numerator and the denominator with 10 in each expression. In other words; the ten you divide the numerator with cancels out with the ten you divide the denominator with. So the answer will always be 50 in each next expression.

Step-by-step explanation:

(i) 4500 ÷ 90 = $\frac{4500}{90}$ = 50

(ii) 450 ÷ 9 = $\frac{450}{9}$ = 50

(iii) 45 ÷ 0.9 = $\frac{45}{0.9}$ = 50

(iv) 4.5 ÷ 0.09 = $\frac{4.5}{0.09}$ = 50

Starting with: (i) 4500 ÷ 90 = $\frac{4500}{90}$ = 50

You divide the numerator and the denominator by 10 to get;

(ii) 450 ÷ 9 = $\frac{450}{9}$ = 50

Then you divide the both the numerator and denominator in (ii) with 10 to get;

(iii) 45 ÷ 0.9 = $\frac{45}{0.9}$ = 50

As the cycle continues, you will always get 50 as the answer since you are dividing both the numerator and the denominator with 10 in each expression. In other words; the ten you divide the numerator with cancels out with the ten you divide the denominator with. So the answer will always be 50 in each next expression.