Question1. Write the world's population, $7,890.98$ million, in ordinary notation.
2. Calculate the percent of the world population living outside China and India. Round to the nearest whole number.
3. Find how many more people under 15 live in India than in China. Use percentages and round to the nearest whole number.

Studdy Solution

STEP 1

Assumptions1. The current population of the world is $7,890.98$ million people. . The current population of China is $1,448.1$ million people.
3. The current population of India is $1,401.6$ million people.
4. The percentage of the population under15 years old in China is $17.60\%$ .
5. The percentage of the population under15 years old in India is $26.1\%$ .

STEP 2

For part (a), we need to convert the population of the world from millions to ordinary notation. We do this by multiplying the given number by $1,000,000$ (since1 million equals $1,000,000$ ).
$Population_{world} =7,890.98 \times1,000,000$

STEP 3

Calculate the population of the world in ordinary notation.
$Population_{world} =7,890.98 \times1,000,000 =7,890,980,000$ The population of the world in ordinary notation is7,890,980,000.

STEP 4

For part (b), we need to find the percentage of the world's population that lives in countries other than China or India. First, we calculate the combined population of China and India.
$Population_{China+India} = Population_{China} + Population_{India}$ $Population_{China+India} =1,448.1 +1,401.6$

STEP 5

Calculate the combined population of China and India.
$Population_{China+India} =1,448.1 +1,401. =2,849.7$

STEP 6

Now, we find the population of the world that lives in countries other than China or India.
$Population_{other} = Population_{world} - Population_{China+India}$ $Population_{other} =,890.98 -2,849.$

STEP 7

Calculate the population of the world that lives in countries other than China or India.
$Population_{other} =7,890.98 -2,849.7 =5,041.28$

STEP 8

Now, we find the percentage of the world's population that lives in countries other than China or India.
$Percentage_{other} = \frac{Population_{other}}{Population_{world}} \times100\%$ $Percentage_{other} = \frac{5,041.28}{7,890.98} \times100\%$

STEP 9

Calculate the percentage of the world's population that lives in countries other than China or India.
$Percentage_{other} = \frac{5,041.28}{7,890.98} \times100\% \approx64\%$ Rounded to the nearest whole number, approximately64% of the world's population lives in countries other than China or India.

STEP 10

For part (d), we need to find the number of people under the age of15 in India and China. First, we calculate the number of people under the age of15 in China.
$People_{China_{<15}} = Population_{China} \times Percentage_{China_{<15}}$ $People_{China_{<15}} =,448. \times17.60\%$

STEP 11

Convert the percentage to a decimal value.
$17.60\% =0.176$ $People_{China_{<15}} =,448. \times0.176$

STEP 12

Calculate the number of people under the age of15 in China.
$People_{China_{<15}} =,448. \times0.176 =254.86$

STEP 13

Next, we calculate the number of people under the age of15 in India.
$People_{India_{<15}} = Population_{India} \times Percentage_{India_{<15}}$ $People_{India_{<15}} =,401.6 \times26.\%$

STEP 14

Convert the percentage to a decimal value.
$26.\% =0.261$ $People_{India_{<}} =,401.6 \times0.261$

STEP 15

Calculate the number of people under the age of15 in India.
$People_{India_{<15}} =,401. \times0.261 =365.82$

STEP 16

Now, we find the difference in the number of people under the age of15 in India and China.
$Difference = People_{India_{<15}} - People_{China_{<15}}$ $Difference =365.82 -254.86$

STEP 17

Calculate the difference in the number of people under the age of15 in India and China.
$Difference =365.82 -254.86 =110.96$ Rounded to the nearest whole number, there are approximately111 million more people under the age of15 in India than in China.

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Studdy Solution

STEP 1

STEP 2

For part (a), we need to convert the population of the world from millions to ordinary notation. We do this by multiplying the given number by $1,000,000$ (since1 million equals $1,000,000$ ).
$Population_{world} =7,890.98 \times1,000,000$

STEP 3

Calculate the population of the world in ordinary notation.
$Population_{world} =7,890.98 \times1,000,000 =7,890,980,000$ The population of the world in ordinary notation is7,890,980,000.

STEP 4

For part (b), we need to find the percentage of the world's population that lives in countries other than China or India. First, we calculate the combined population of China and India.
$Population_{China+India} = Population_{China} + Population_{India}$ $Population_{China+India} =1,448.1 +1,401.6$

STEP 5

Calculate the combined population of China and India.
$Population_{China+India} =1,448.1 +1,401. =2,849.7$

STEP 6

Now, we find the population of the world that lives in countries other than China or India.
$Population_{other} = Population_{world} - Population_{China+India}$ $Population_{other} =,890.98 -2,849.$

STEP 7

Calculate the population of the world that lives in countries other than China or India.
$Population_{other} =7,890.98 -2,849.7 =5,041.28$

STEP 8

Now, we find the percentage of the world's population that lives in countries other than China or India.
$Percentage_{other} = \frac{Population_{other}}{Population_{world}} \times100\%$ $Percentage_{other} = \frac{5,041.28}{7,890.98} \times100\%$

STEP 9

Calculate the percentage of the world's population that lives in countries other than China or India.
$Percentage_{other} = \frac{5,041.28}{7,890.98} \times100\% \approx64\%$ Rounded to the nearest whole number, approximately64% of the world's population lives in countries other than China or India.

STEP 10

For part (d), we need to find the number of people under the age of15 in India and China. First, we calculate the number of people under the age of15 in China.
$People_{China_{<15}} = Population_{China} \times Percentage_{China_{<15}}$ $People_{China_{<15}} =,448. \times17.60\%$

STEP 11

Convert the percentage to a decimal value.
$17.60\% =0.176$ $People_{China_{<15}} =,448. \times0.176$

STEP 12

Calculate the number of people under the age of15 in China.
$People_{China_{<15}} =,448. \times0.176 =254.86$

STEP 13

Next, we calculate the number of people under the age of15 in India.
$People_{India_{<15}} = Population_{India} \times Percentage_{India_{<15}}$ $People_{India_{<15}} =,401.6 \times26.\%$

STEP 14

Convert the percentage to a decimal value.
$26.\% =0.261$ $People_{India_{<}} =,401.6 \times0.261$

STEP 15

Calculate the number of people under the age of15 in India.
$People_{India_{<15}} =,401. \times0.261 =365.82$

STEP 16

Now, we find the difference in the number of people under the age of15 in India and China.
$Difference = People_{India_{<15}} - People_{China_{<15}}$ $Difference =365.82 -254.86$

STEP 17

Calculate the difference in the number of people under the age of15 in India and China.
$Difference =365.82 -254.86 =110.96$ Rounded to the nearest whole number, there are approximately111 million more people under the age of15 in India than in China.

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Studdy Solution

STEP 1

STEP 2

STEP 3

Calculate the population of the world in ordinary notation.Populationworld=7,890.98×1,000,000=7,890,980,000Population_{world} =7,890.98 \times1,000,000 =7,890,980,000Populationworld​=7,890.98×1,000,000=7,890,980,000The population of the world in ordinary notation is7,890,980,000.

STEP 4

STEP 5

Calculate the combined population of China and India.PopulationChina+India=1,448.1+1,401.=2,849.7Population_{China+India} =1,448.1 +1,401. =2,849.7PopulationChina+India​=1,448.1+1,401.=2,849.7

STEP 6

STEP 7

Calculate the population of the world that lives in countries other than China or India.Populationother=7,890.98−2,849.7=5,041.28Population_{other} =7,890.98 -2,849.7 =5,041.28Populationother​=7,890.98−2,849.7=5,041.28

STEP 8

STEP 9

STEP 10

STEP 11

Convert the percentage to a decimal value.17.60%=0.17617.60\% =0.17617.60%=0.176PeopleChina<15=,448.×0.176People_{China_{<15}} =,448. \times0.176PeopleChina<15​​=,448.×0.176

STEP 12

Calculate the number of people under the age of15 in China.PeopleChina<15=,448.×0.176=254.86People_{China_{<15}} =,448. \times0.176 =254.86PeopleChina<15​​=,448.×0.176=254.86

STEP 13

STEP 14

Convert the percentage to a decimal value.26.%=0.26126.\% =0.26126.%=0.261PeopleIndia<=,401.6×0.261People_{India_{<}} =,401.6 \times0.261PeopleIndia<​​=,401.6×0.261

STEP 15

Calculate the number of people under the age of15 in India.PeopleIndia<15=,401.×0.261=365.82People_{India_{<15}} =,401. \times0.261 =365.82PeopleIndia<15​​=,401.×0.261=365.82

STEP 16

STEP 17

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Calculate the population of the world in ordinary notation.
$Population_{world} =7,890.98 \times1,000,000 =7,890,980,000$ The population of the world in ordinary notation is7,890,980,000.

Calculate the combined population of China and India.
$Population_{China+India} =1,448.1 +1,401. =2,849.7$

Calculate the population of the world that lives in countries other than China or India.
$Population_{other} =7,890.98 -2,849.7 =5,041.28$

Convert the percentage to a decimal value.
$17.60\% =0.176$ $People_{China_{<15}} =,448. \times0.176$

Calculate the number of people under the age of15 in China.
$People_{China_{<15}} =,448. \times0.176 =254.86$

Convert the percentage to a decimal value.
$26.\% =0.261$ $People_{India_{<}} =,401.6 \times0.261$

Calculate the number of people under the age of15 in India.
$People_{India_{<15}} =,401. \times0.261 =365.82$