Without finding the exact answer, select which of the
following numbers is the best estimate of each sum or
difference and justify your choices:
-2/3 0 or 2/3
1/9 + 2/5 - 1/3 - 3/4
Look at the four numbers: Is the answer positive or negative?
negative?
Yes. The answer is negative.
i need help on answering this 1 7/8 1 1/2 and 7/8 and and estimated. can you help plx need it............lol
To estimate the sum or difference, we can round each fraction to a whole number or a fraction with a common denominator.
Let's first consider the sum:
1/9 + 2/5 + (-1/3) + (-3/4)
To estimate the sum, we can round each fraction to the nearest whole number or fraction with a common denominator.
1/9 is roughly 1/10.
2/5 is roughly 2/5.
-1/3 is roughly -1/3 (no change).
-3/4 is roughly -3/4 (no change).
So the rounded fractions are:
1/10 + 2/5 + (-1/3) + (-3/4)
Now, let's convert these fractions to have a common denominator of 60, so that we can add them together.
1/10 * 6/6 = 6/60
2/5 * 12/12 = 24/60
-1/3 * 20/20 = -20/60
-3/4 * 15/15 = -45/60
Now we can add them:
6/60 + 24/60 + (-20/60) + (-45/60) = (6 + 24 - 20 - 45)/60 = -35/60
So, the best estimate of the sum is approximately -35/60.
Now let's consider the difference:
1/9 + 2/5 - 1/3 - 3/4
Using the same rounding approach, we get:
1/10 + 2/5 - 1/3 - 3/4
Converting to a common denominator of 60:
1/10 * 6/6 = 6/60
2/5 * 12/12 = 24/60
-1/3 * 20/20 = -20/60
-3/4 * 15/15 = -45/60
Now we can subtract them:
6/60 + 24/60 - 20/60 - 45/60 = (6 + 24 - 20 - 45)/60 = -35/60
So, the best estimate of the difference is approximately -35/60.
To choose the best estimate from the options given (-2/3, 0, or 2/3), we can see that -35/60 is closest to 0. Therefore, the best estimate is 0.