$25 \overline{)178}$
Answer (2)
The result of dividing 178 by 25 is approximately 7.12. This means 25 fits into 178 about 7 times, with a remainder that can be expressed as a decimal. Thus, 178 ÷ 25 = 7.12 .
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Divide 178 by 25.
Estimate how many times 25 goes into 178, which is 7 times.
Calculate the remainder: 178 − ( 25 × 7 ) = 3 .
Convert the remainder to a decimal: 25 3 = 0.12 . Thus, 178 ÷ 25 = 7.12 .
Explanation
Understanding the Problem We are asked to perform the division 178 ÷ 25 . This is equivalent to asking, 'How many times does 25 fit into 178?'
Setting up Long Division We can perform long division to find the quotient. First, we see how many times 25 goes into 17. Since 17 is smaller than 25, 25 goes into 17 zero times. So, we consider how many times 25 goes into 178.
Estimating the Quotient We can estimate how many times 25 goes into 178. Since 25 × 4 = 100 , we can try 25 × 7 . 25 × 7 = 175 . This is close to 178.
Finding the Remainder So, 25 goes into 178 seven times with a remainder. 178 − 175 = 3 . The remainder is 3.
Converting Remainder to Decimal To express the result as a decimal, we can divide the remainder 3 by 25. 25 3 = 25 × 4 3 × 4 = 100 12 = 0.12 .
Final Calculation Therefore, 178 ÷ 25 = 7 + 0.12 = 7.12 .
Final Answer The result of the division 178 ÷ 25 is 7.12 .
Examples
In real life, division is used in many scenarios. For example, if you have 178 cookies and want to divide them equally among 25 friends, each friend would get 7.12 cookies. Since you can't give someone a fraction of a cookie, you might give each friend 7 cookies and then cut the remaining 3 cookies into smaller pieces to distribute.
