Respuesta :
Answer:
Perform the following division using partial quotients: 504 ÷ 14:
To reduce the numerator, we will be multiplying the denominator by factors of 10, 5, 2, and 1
Step-by-step explanation:
1 4| 5 0 4
2 8 0 20 <---- 20 x 14 = 280
2 2 4 <---- 504 - 280 = 224
1 4| 5 0 4
2 8 0 20
2 2 4
1 4 0 10 <---- 10 x 14 = 140
8 4 <---- 224 - 140 = 84
1 4| 5 0 4
2 8 0 20
2 2 4
1 4 0 10
8 4
7 0 5 <---- 5 x 14 = 70
1 4 <---- 84 - 70 = 14
1 4| 5 0 4
2 8 0 20
2 2 4
1 4 0 10
8 4
7 0 5
1 4
1 4 1 <---- 1 x 14 = 14
0 <---- 14 - 14 = 0
Our partial quotients add up as follows:
20 + 10 + 5 + 1 = 36
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The partial quotients are [tex]30,6[/tex] and the value of the quotient is [tex]36[/tex].
Given:
[tex]504[/tex] divided by [tex]14[/tex].
To find:
The quotient by usign the partial quotients.
Explanation:
We have,
Dividend = 504
Divisor =14
Now,
14 | 504
420 (14 × 30)
------------------------
84 (After subtraction)
84 (14 × 6)
-------------------------
0 (After subtraction)
-------------------------
The partial quotients are [tex]30[/tex] and [tex]6[/tex] and the value of the quotient is:
[tex]30+6=36[/tex]
Therefore, the quotient of the given problem is [tex]36[/tex].
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