Explain how to use partial quotients to divide 235 by 5
Answer: 235 divided by 5 = 47
Step-by-step explanation:(with reference to the figure)
To find 235 divided by 5 by partial quotients .
Here dividend= 235 and divisor =5
Step 1: Write easy multiples of divisor that is nearest to the dividend as follows
5×10=50
5×20=100
5×30=150
5×40=200(nearest easy factor)
Step 2: Now subtract 200 from 235 ,we get 35 then subtract 35=5×7 from it we get 0.
Step 3: Adding the factors we have used in step 1 and 2 ,it will give required quotient=40+7=47
i.e. 235=5(40)+5(7)
The solution to the division problem using partial quotients is 47
Given the division problem expressed as \(\frac{235}{5}\)
We are to divide the expression using the partial quotient as shown below:
\(= \frac{235}{5} \\= \frac{200}{5} + \frac{35}{5}\)
Find the quotient of the individual term to have;
\(=\frac{200}{5} +\frac{35}{5} \\=40 + 7\\= 47\)
Hence the solution to the division problem using partial quotients is 47
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