RAINBOWDASHROCKS
  • RAINBOWDASHROCKS
Ellie and her family are driving to her grandmother’s house. The drive takes 2 4/5 h total. Ellie and her family have completed 3/5 of the drive. About how many hours have Ellie and her family been driving? Estimate by first rounding each number to the nearest 1/2 . A.3/4h B.1h C.1 1/4h D.1 1/2h
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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mathstudent55
  • mathstudent55
Look at the fraction 4/5 which is part of the mixed numeral 2 4/5. Is 4/5 closer to 1/2 or to 1?
RAINBOWDASHROCKS
  • RAINBOWDASHROCKS
1
mathstudent55
  • mathstudent55
Correct. The mixed numeral 2 4/5 is the same as 2 + 4/5. Since 4/5 is closer to 1 than to 1/2, and the problem tells you to first round off the numbers to the nearest 1/2, then we use 1 for 4/5. That means that 2 4/5 should be rounded to 2 + 1. What is 2 + 1?

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More answers

RAINBOWDASHROCKS
  • RAINBOWDASHROCKS
3
mathstudent55
  • mathstudent55
Great. In our estimation, we will use 3 for 2 4/5. Now we need to deal with 3/5. Is 3/5 closer to 1 or to 1/2?
RAINBOWDASHROCKS
  • RAINBOWDASHROCKS
1/2?
mathstudent55
  • mathstudent55
|dw:1450299756660:dw|
mathstudent55
  • mathstudent55
Look at the drawing above. 1/2 = 0.5 3/5 = 0.6 1 = 1 You can see that 3/5, which is the same as 0.6 is only 0.1 from 1/2. Also, you see that 3/5 = 0.6 is 0.4 from 1. Clearly, 3/5 is closer to 1/2 than to 1.
mathstudent55
  • mathstudent55
Do you understand the above explanation of how 3/5 is closer to 1/2 than to 1?
RAINBOWDASHROCKS
  • RAINBOWDASHROCKS
ohh
mathstudent55
  • mathstudent55
Look at 3/5 and 1/2 and 1 on a number line. Again, you see that 3/5 is much closer to 1/2 than to 1. Ok? |dw:1450299980532:dw|
RAINBOWDASHROCKS
  • RAINBOWDASHROCKS
so whats the answer
mathstudent55
  • mathstudent55
Also, remember the 4/5 we used before. 4/5 = 0.8. The number line confirms that 4/5 is closer to 1 than to 1/2. You were correct before. |dw:1450300156008:dw|
RAINBOWDASHROCKS
  • RAINBOWDASHROCKS
i am a bit confused
mathstudent55
  • mathstudent55
Ok. Now we know to use 3 for 2 4/5, and we know to use 0.5 for 3/5. To estimate 2 4/4 * 3/5, we will do 3 * 0.5 What is half of 3?
RAINBOWDASHROCKS
  • RAINBOWDASHROCKS
2.5
RAINBOWDASHROCKS
  • RAINBOWDASHROCKS
no
mathstudent55
  • mathstudent55
No. 2.5 is half of 5. We need half of 3.
RAINBOWDASHROCKS
  • RAINBOWDASHROCKS
1.5
mathstudent55
  • mathstudent55
Great. Our estimate of 2 4/5 * 3/5 is 1.5 1.5 is a decimal. As a mixed numeral it is 1 1/2 Our estimate is 1 1/2 hours
RAINBOWDASHROCKS
  • RAINBOWDASHROCKS
thx
mathstudent55
  • mathstudent55
You're welcome.

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