If the product of four tenths and six tenths is subtracted from the sum of four tenths and six tenths, what is the difference?
.4 + .6 - (.4*.6) = 1.0 - .24 = ?
To find the difference, we first need to calculate the sum of four tenths and six tenths, then subtract the product of four tenths and six tenths from that sum.
Let me break down the steps to solve this:
Step 1: Calculate the sum of four tenths and six tenths.
To add fractions, we need a common denominator, which in this case is ten. So, we can rewrite four tenths and six tenths as forty hundredths and sixty hundredths, respectively.
The sum of forty hundredths and sixty hundredths is:
40/100 + 60/100 = 100/100 = 1
So, the sum of four tenths and six tenths is one.
Step 2: Calculate the product of four tenths and six tenths.
To multiply fractions, we simply multiply the numerators and denominators.
The product of four tenths and six tenths is:
4/10 * 6/10 = 24/100 = 0.24
Step 3: Subtract the product from the sum.
To find the difference, we subtract the product from the sum:
1 - 0.24 = 0.76
Therefore, the difference is 0.76.