1) What is 20% of 30?

2) What is 30% of 20?

3) If m and n are any whole number, is m% of n always equal to n% of m? Explain the answer and support it with 2 examples.

1) 0.2 * 30 = ?

2) 0.3 * 20 = ?

3) What do you think?

http://www.aaamath.com/pro74b-propertiesmult.html

20%=20/100

20% of 30=20*30/100=600/100=6

30%=30/100

30% of 20=30*20/100=600/100=6

m% of n=m*n/100
n% of m=n*m/100

m% of n is always equal to n% of m?

Examples:

40% of 60=40*60/100=2400/100=24
60% of 40=60*40/100=2400/100=24

70% of 90=70*90/100=6300/100=63
90% of 70=90*70/100=6300/100=63

m% of n is always equal to n% of m

1) To find 20% of 30, you can follow these steps:

Step 1: Convert the percentage to a decimal by dividing it by 100.
20% is equal to 20/100 = 0.2.

Step 2: Multiply the decimal by the given number.
0.2 * 30 = 6.

Therefore, 20% of 30 is 6.

2) To find 30% of 20, you can use the same steps:

Step 1: Convert 30% to a decimal.
30% is equal to 30/100 = 0.3.

Step 2: Multiply the decimal by the given number.
0.3 * 20 = 6.

Therefore, 30% of 20 is also 6.

3) No, m% of n is not always equal to n% of m. Let's consider two examples to see why:

Example 1:
Let m = 10 and n = 20.
10% of 20 is 0.1 * 20 = 2.
20% of 10 is 0.2 * 10 = 2.

In this case, m% of n is equal to n% of m.

Example 2:
Let m = 25 and n = 100.
25% of 100 is 0.25 * 100 = 25.
100% of 25 is 1 * 25 = 25.

In this case, m% of n is equal to n% of m.

These examples show that sometimes m% of n equals n% of m, but it is not always the case. The equality depends on the values of m and n.