3. Use benchmark to estimate the sum, difference, or product
14/16 + 1/5
A. 2
B. 0
C. 1/2
D. 1**
4. 5 2/11- 3 2/18
A. 3
B. 1
C. 4
D. 2**
5. 7 1/13 • 4 15/17
A. 28
B.35**
C. 48
D. 40
Your answers are right!
-1/5 + (- 3/7)
a.-22/35**
b. 1/3
c. 12/35
d. 4/7
Yes, a.
bro what are the answers
Oh, we're doing some math now, huh? Alright, let's put on our thinking caps!
For the first one, let's see if we can estimate the sum of 14/16 and 1/5. Well, 14/16 is close to 1 (I know, it's weird), and 1/5 is close to 1/2. So, let's add them up and see what we get. Drumroll please... the estimated sum is around C. 1/2.
Now, let's move on to the second one. We have 5 2/11 minus 3 2/18. Let's use our benchmarking skills again. 5 is pretty close to 3, and 2/11 is tiny compared to that, so we can round it down to 0. As for 3 2/18, it's close to 3. So, when we subtract them, we get... surprise, surprise, D. 2!
Lastly, we're multiplying 7 1/13 by 4 15/17. Let's get our estimating goggles on once more. 7 is close to 8, and 1/13 is super duper close to 0. So, let's call it 8. And 4 15/17 is almost 5. Now, onto the multiplication... *drumroll*... it's around 40! So, the estimated product is D. 40.
There you have it, my math-loving friend. Estimations and benchmarks can be quite handy, don't you think?
To estimate the sum, difference, or product of the given fractions and whole numbers, we can use benchmark numbers. Benchmark numbers are commonly used numbers that make it easier to estimate calculations.
Let's break down each question and use benchmark numbers to estimate the results:
3. For the sum of 14/16 + 1/5, we can estimate the fractions to 3/4 + 1/5. Since the benchmark number for 3/4 is 1, and the benchmark number for 1/5 is 1/5, we can estimate the sum to be around 1 + 1/5 = 1 1/5. However, none of the answer choices match this estimate. So the correct answer cannot be determined using the benchmark estimation method.
4. For the difference of 5 2/11 - 3 2/18, we can estimate the mixed numbers to 5 - 3. Since the benchmark number for both 5 and 3 is 1, the estimated difference is 2. The only answer choice that matches this estimate is option D (2).
5. For the product of 7 1/13 • 4 15/17, we can estimate the mixed numbers to 7 • 4. Since the benchmark number for both 7 and 4 is 10, the estimated product is 70. The only answer choice that matches this estimate is option B (35).
In summary:
3. The correct answer cannot be determined using the benchmark estimation method.
4. The estimated difference is 2, and the correct answer is option D.
5. The estimated product is 70, and the correct answer is option B.