Multiply the distance between the Sun and Earth by the corresponding fraction from the table. Remember to write the mixed number as an improper fraction.
B
Multiply the distance between the Sun and Earth by the corresponding fraction from the table. Remember to write the mixed numbers as improper fractions.
C
Multiply the distance between the Sun and Earth by the corresponding fraction from the table. Remember to write the mixed numbers as improper fractions.
D
Multiply the distance between the Sun and Earth by the corresponding fraction from the table. Remember to write the mixed numbers as improper fractions.
A
about 69 2740 million miles
B
about 139 720 million miles
C
about 487 2940 million miles
D
about 882 1120 million miles
Practice makes perfect
We are told that Earth is about 92 910 million miles from the Sun. In this part of the exercise, we want to determine how far from the Sun Venus is. First, let's consider the given table.
Planet
Approximate Number of Times as Far from the Sun as Earth
Venus
3/4
Mars
1 12
Jupiter
5 14
Saturn
9 12
The table tells us about each planet's distance from the Sun, relative to Earth's distance from the Sun. Therefore, since we know the approximate distance between the Sun and Earth, we can find the distances for other planets by multiplying the distance for Earth by the fraction given in the table. For Venus, we need to multiply 92 910 million miles by 34.
92 910* 3/4
Before we calculate this product, we need to write the mixed number as an improper fraction. Recall that when we write a mixed number as a fraction, the denominator stays the same.
92 9 10=92* 10 + 9/10=929/10
Then we will multiply the numerators and the denominators of the fractions separately. Let's do it!
Venus is about 69 2740 million miles from the Sun.
In this part of the exercise, we want to find how far Mars is from the Sun. To do so, we need to follow the same process as we did for Venus. Consider the given table again.
Planet
Approximate Number of Times as Far from the Sun as Earth
Venus
3/4
Mars
1 12
Jupiter
5 14
Saturn
9 12
We need to multiply the distance between the Sun and the Earth by the value given in the table. For Mars, this value is 1 12.
92 910* 1 12
Before we calculate this product, we need to write the mixed numbers as improper fractions. From the previous part of the exercise, we already know that 92 910= 92910, so we will consider only the second mixed number.
1 1 2=1* 2 + 1/2=3/2
Now we will multiply the numerators and the denominators of the fractions separately. Let's do it!
Now we will determine how far Jupiter is from the Sun. Consider the given table.
Planet
Approximate Number of Times as Far from the Sun as Earth
Venus
3/4
Mars
1 12
Jupiter
5 14
Saturn
9 12
We need to multiply the distance between the Sun and the Earth by the value given in the table. For Jupiter, we will multiply 92 910 by 5 124.
92 910* 5 14
Now we need to write the mixed numbers as improper fractions. We know that 92 910= 92910, so let's convert the second mixed number to an improper fraction.
5 1 4=5* 4 + 1/4=21/4
Finally, we can multiply the numerators and the denominators of the fractions separately to find the product.
Jupiter is about 487 2940 million miles from the Sun.
Finally, we want to find how far Saturn is from the Sun. We will follow the same steps as we have done before, starting by identifying Saturn's information in the given chart.
Planet
Approximate Number of Times as Far from the Sun as Earth
Venus
3/4
Mars
1 12
Jupiter
5 14
Saturn
9 12
We need to multiply the distance between the Sun and the Earth by the value given in the table. For Saturn, this value is 9 12.
92 910* 9 12
We know that 92 910= 92910. Let's write the second mixed number as an improper fraction.
9 1 2=9* 2 + 1/2=19/2
Now we will multiply the numerators and the denominators of the fractions to find the product.
