Question Video: Ordering and Converting a Set of Mixed Numbers to Decimals in Word Problems | Nagwa Question Video: Ordering and Converting a Set of Mixed Numbers to Decimals in Word Problems | Nagwa

Question Video: Ordering and Converting a Set of Mixed Numbers to Decimals in Word Problems Mathematics • First Year of Preparatory School

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The table shows the wingspans of different birds. Name the bird that has the minimum wingspan and the bird that has the greatest maximum wingspan, and give their wingspans in decimal form.

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Video Transcript

The table shows the wingspans of different birds. Name the bird that has the smallest minimum wingspan and the bird that has the greatest maximum wingspan, and give their wingspans in decimal form.

In the table, we are given three birds together with their minimum and maximum wingspan. We are asked to find the smallest minimum wingspan from the second column and the greatest maximum wingspan from the third column.

Let’s begin by finding the smallest value in the minimum wingspan column. Since seven is greater than six, we can immediately rule out the whooping crane, which has a minimum wingspan of seven and one-sixth feet.

As such, we need to compare the minimum wingspan of the bald eagle and the black-footed albatross by considering the fractions seven twelfths and three-tenths. We know that three-tenths can be written in decimal form as 0.3, since three divided by 10 equals 0.3.

To convert seven twelfths to a decimal, we can either use the fraction button on our calculator or we can divide seven by 12. Typing this into our calculator and using the SD button to convert from standard form to decimal form, we get an answer of 0.58333 and so on. Since the digit three is repeating, this can be written as 0.583 recurring as shown. We place a dot or bar above the digit that is repeating.

We are now in a position to compare the two decimal values. 0.3 is less than 0.583 recurring, which means that six and three-tenths is less than six and seven twelfths. We can therefore conclude that the bird with the smallest minimum wingspan is the black-footed albatross with a wingspan of 6.3 feet.

Let’s now consider which bird has the greatest maximum wingspan. All three birds have a maximum wingspan equal to seven and some fraction, so we need to compare the three fractions. The three fractions one-quarter, one-half, and one twelfth are all unit fractions as their numerators are equal to one. As such, we simply need to compare their denominators. When positive fractions have the same numerator, the fraction with the smaller denominator will be the greater fraction. This means that one-half is greater than one-quarter, which is greater than one twelfth, which in turn means that the largest of the three mixed numbers is seven and one-half. We know that one-half is equal to 0.5. We can therefore conclude that the bird with the greatest maximum wingspan is the bald eagle with a wingspan of 7.5 feet.

The two answers to this question are black-footed albatross, 6.3 feet, and bald eagle, 7.5 feet.

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