5 8 divided by 3 5

Guri Bee

2 min read

·

23-10-2024

1

0

Share

58 Divided by 35: A Step-by-Step Guide

You might have come across the mathematical problem "58 divided by 35" and wondered how to solve it. This article will guide you through the process, explaining the different approaches and providing valuable insights.

Understanding the Problem

The question "58 divided by 35" essentially asks: How many times does 35 fit into 58? This can be represented as:

• 58 ÷ 35
• 58 / 35

Solving the Problem

1. Long Division:

The most common method is long division. Here's how it works:

1. Set up: Write 58 as the dividend and 35 as the divisor.
2. Estimate: Think about how many times 35 goes into 58. It fits in only once (35 x 1 = 35).
3. Subtract: Write "1" above the 8 in the quotient, then multiply 1 by 35 (35 x 1 = 35) and subtract the result from 58 (58 - 35 = 23).
4. Bring down: Bring down the next digit (in this case, we have no more digits).
5. Repeat: Repeat steps 2-4 until the remainder is less than the divisor.

Result: You'll find that 58 divided by 35 equals 1 with a remainder of 23.

2. Decimal Representation:

You can further express the answer as a decimal.

1. Add zeros: Since we have a remainder, we can add a decimal point and a zero to the dividend (58.0).
2. Continue division: Bring down the zero and continue the division process.
3. Decimal answer: You'll get a repeating decimal (1.657142857...).

3. Using a Calculator:

For quick solutions, you can simply use a calculator. Input "58 ÷ 35" and press the equals button. The calculator will display the answer in decimal form (1.657142857...).

Practical Applications

The ability to divide numbers can be applied in various real-life situations:

• Sharing equally: You want to divide 58 candies among 35 friends. Each friend gets 1 candy, and there are 23 candies leftover.
• Calculating unit prices: You buy 35 apples for $58. To find the price per apple, you divide the total cost by the number of apples ($58 / 35 = $1.66 per apple).

Further Exploration

• Understanding remainders: The remainder in a division problem represents the amount that is left over after dividing as many times as possible.
• Working with fractions: You can express the solution as a mixed number (1 23/35) or as a fraction (58/35).
• Approximation and rounding: In certain contexts, rounding the answer to the nearest whole number or decimal place might be more practical.

Conclusion

Understanding how to divide numbers, whether through long division, decimal representation, or using a calculator, is a fundamental mathematical skill. By applying these methods, you can solve problems in various situations and make informed decisions in everyday life.