do a% of b and b% fo a represent the same amount? Justify your answer
Try substituting different numbers for a and b.
What do you find?
um well 9% of 24 and 80% i think i don't know
9% of 34 = 0.09 * 24 = 2.16
24% of 9 = 0.24 * 9 = 2.16
80% of 100 = 0.8 * 100 = 80
100% of 80 = ?
To determine if a% of b and b% of a represent the same amount, let's break down the expressions and compare them:
1. a% of b: To find a% of b, we multiply b by a/100. So, the formula is: (a/100) * b.
2. b% of a: To find b% of a, we multiply a by b/100. So, the formula is: (b/100) * a.
Let's compare these two formulas:
(a/100) * b vs (b/100) * a
By simplifying both expressions, we get:
(ab/100) vs (ab/100)
We can see that both expressions are equal. Thus, a% of b and b% of a represent the same amount.
To justify this answer, we have mathematically shown that the two expressions are equal.