8. Isabel found three pieces of cable in her tool drawer. Here are their lengths (in meters).
10.43 ,13.2 ,9
What is the total length of the three pieces?
9. Lashonda needs to drive 20 miles to work. So far, she has driven 2.6 miles. How many more miles must she drive?
10. The first three terms of a geometric sequence are as follows. 32,16,8
Find the next two terms of this sequence
16. Estimate 13,806+8,057+7,935 by first rounding each number to the nearest thousand.
17. Estimate 21,174-12,951 by first rounding each number to the nearest thousand.
8. Add the lengths.
9. 20 - 2.6 = ?
10. Each seems to decrease by half of the preceding term.
16. (14 + 8 + 8) 1000 = ?
17. (21-13) 1000 = ?
To find the total length of the three pieces of cable in question 8, you need to add up their lengths.
The lengths given are 10.43 meters, 13.2 meters, and 9 meters.
To find the total length, simply add these lengths together.
10.43 + 13.2 + 9 = 32.63 meters
Therefore, the total length of the three pieces of cable is 32.63 meters.
In question 9, Lashonda needs to drive a total of 20 miles to work, and she has already driven 2.6 miles. To find out how many more miles she needs to drive, subtract the distance she has already driven from the total distance.
20 - 2.6 = 17.4 miles
Therefore, Lashonda still needs to drive 17.4 more miles to reach her workplace.
In question 10, the first three terms of the geometric sequence are 32, 16, and 8. To find the next two terms, you need to determine the common ratio of the sequence.
To do this, divide each term by its previous term.
16/32 = 0.5
8/16 = 0.5
Since the ratio is equal to 0.5 in both cases, we can conclude that the common ratio of the geometric sequence is 0.5.
To find the next term, multiply the last term by the common ratio.
8 * 0.5 = 4
Therefore, the next term of the sequence is 4.
To find the following term after that, multiply the previous term by the common ratio.
4 * 0.5 = 2
Therefore, the next two terms of the sequence are 4 and 2.
In question 16, to estimate the sum of 13,806, 8,057, and 7,935 by rounding each number to the nearest thousand, you need to round each number to the thousands place.
13,806 rounded to the nearest thousand is 14,000.
8,057 rounded to the nearest thousand is 8,000.
7,935 rounded to the nearest thousand is 8,000.
Now, add up the rounded numbers.
14,000 + 8,000 + 8,000 = 30,000
Therefore, the estimated sum of 13,806, 8,057, and 7,935 rounded to the nearest thousand is 30,000.
In question 17, to estimate the difference between 21,174 and 12,951 by rounding each number to the nearest thousand, you need to round each number to the thousands place.
21,174 rounded to the nearest thousand is 21,000.
12,951 rounded to the nearest thousand is 13,000.
Now, subtract the rounded number from the other rounded number.
21,000 - 13,000 = 8,000
Therefore, the estimated difference between 21,174 and 12,951 rounded to the nearest thousand is 8,000.