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bekas [8.4K]
3 years ago
12

Vassil rounded to the nearest half to estimate the product of Five-eighths and StartFraction 8 over 9 EndFraction. How do the es

timated and actual products compare?
Mathematics
2 answers:
Monica [59]3 years ago
5 0

estimate the the nearest half....

5/8....it is closer to 4/8(which is 1/2) then it is to 8/8(which is 1)...so we will round 5/8 to 1/2

8/9....it is closer to 9/9 (which is 1) then it is to 4.5/9 (which is half)...so we will round 8/9 to 1

" the product " means multiply

so 1 * 1/2 = 1/2 (or 0.50) <== estimate

actual : 5/8 * 8/9 = 5/9 (or 0.55) <== actual

larisa86 [58]3 years ago
3 0

Answer:

0.5 is the estimated product. 0.55 is the actual product.

Step-by-step explanation:

Rounding to the nearest half means suppose we have 0.6, it is closer to 0.5 than 1, so we round up 0.6 to 0.5.

5/8 is equal to 0.625, we will estimate it to 0.5.

8/9 is approximateply equal to 0.89, we will estimate to 1.

Calculate the product when estimated.

0.5 × 1 = 0.5

Calculate the actual product.

5/8 × 8/9 = 0.55

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Step-by-step explanation:

This question would be solved using simultaneous equation

Let the price of sweater be represented by a

Let the price of shirt be represented by b

The following equations can be derived from the question

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substitute for b in equation 1

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collect like terms

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2a = 70

divide both sides by 2

a = 35

Price of sweater = $35

Price of shirt = $20

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