Use long division to convert 3 3/8 to a decimal.(1 point)
Responses
0.375
0.375
3.375
3.375
2.66
2.66
33.75
0.375
Use long division to convert 4/15 to a decimal.
4.15
4.15
3.75
3.75
≈0.27
approximately equals 0.27
26
To convert 4/15 to a decimal using long division:
First, we set up the long division problem:
0. _______
15 | 4.00
Next, we divide the numerator (4) by the denominator (15).
We start with the first digit after the decimal point (0) in the quotient and bring down the zero from the hundredth's place in the numerator.
0. _______
15 | 4.00
-0
We then multiply the divisor (15) by the quotient digit (0) and subtract that result from the numerator.
0. _______
15 | 4.00
-0
----
40
Next, we bring down the next digit from the numerator (0) and divide again:
0.0 _______
15 | 4.00
-0
----
40
-30
We continue this process until we have enough decimal places or until we reach a repeating pattern.
0.26 _______
15 | 4.00
-0
----
40
-30
-----
100
-90
-----
1000
-900
-----
1000
The division stops here because we are left with a remainder of 1000. The decimal representation of 4/15 is approximately 0.2666, but since the 6s repeat indefinitely, we can truncate the decimal to 0.27.
Therefore, the correct answer is:
≈0.27
Use long division to convert 711 to a decimal.(1 point)
Responses
≈0.63
approximately equals 0.63
7.11
7.11
≈1.571428
approximately equals 1.571428
63
To convert 711 to a decimal using long division:
First, we set up the long division problem:
0. __________
711 | 0.000000
Next, since the dividend (711) is larger than the divisor (1), we bring down the first digit (7) to the right of the decimal point.
0. __________
711 | 0.000000
-0
We then multiply the divisor (711) by the quotient digit (0) and subtract that result from the dividend.
0. __________
711 | 0.000000
-0
------
Next, we bring down the next digit (1) from the dividend and divide again:
0.0 __________
711 | 0.000000
-0
------
10
Since the dividend (10) is smaller than the divisor (711), we can consider the decimal representation of 711 complete.
Therefore, the correct answer is:
≈0.00
Use long division to convert 7/11 to a decimal.(1 point)
Responses
≈0.63
approximately equals 0.63
7.11
7.11
≈1.571428
approximately equals 1.571428
63
To convert 7/11 to a decimal using long division:
First, we set up the long division problem:
0. _______
11 | 7.000
Next, we divide the numerator (7) by the denominator (11).
We start with the first digit after the decimal point (0) in the quotient and bring down the first digit from the numerator.
0. _______
11 | 7.000
-0
We then multiply the divisor (11) by the quotient digit (0) and subtract that result from the numerator.
0. _______
11 | 7.000
-0
----
70
Next, we bring down the next digit from the numerator (0) and divide again:
0.0 _______
11 | 7.000
-0
----
70
-66
We continue this process until we have enough decimal places or until we reach a repeating pattern.
0.63 _______
11 | 7.000
-0
----
70
-66
-----
40
The division stops here because we have reached the end of the numerator. The decimal representation of 7/11 is approximately 0.63.
Therefore, the correct answer is:
≈0.63
Use long division to convert 5 3/16 to a decimal.(1 point)
Responses
5.36
5.36
≈5.3
approximately equals 5.3
5.1875
5.1875
0.1875
0.1875
To convert 5 3/16 to a decimal using long division:
First, we convert the whole number to a fraction by multiplying it by the denominator and adding the numerator:
5 * 16 + 3 = 83/16
Next, we set up the long division problem:
0. _______
16 | 83.000
Next, we divide the numerator (83) by the denominator (16).
We start with the first digit after the decimal point (0) in the quotient and bring down the first digit from the numerator.
0. _______
16 | 83.000
-0
We then multiply the divisor (16) by the quotient digit (0) and subtract that result from the numerator.
0. _______
16 | 83.000
-0
----
83
Next, we bring down the next digit from the numerator (0) and divide again:
0.5 _______
16 | 83.000
-0
----
83
-80
We continue this process until we have enough decimal places or until we reach a repeating pattern.
0.53 _______
16 | 83.000
-0
----
83
-80
-----
30
-16
----
140
-128
----
120
The division stops here because we have reached the end of the numerator. The decimal representation of 5 3/16 is 5.1875.
Therefore, the correct answer is:
5.1875
To convert 3 3/8 to a decimal using long division, follow these steps:
1. Start by dividing the numerator (3) by the denominator (8).
3 ÷ 8 = 0.375
2. Place the quotient (0.375) to the right of the whole number (3).
3.375
The decimal representation of 3 3/8 is 3.375. Therefore, the correct answer is 3.375.