Question

Divide. Write the quotient as a mixed number. $$695 \div 34$$

   Divide. Write the quotient as a mixed number.
$$695 \div 34$$

Prealgebra

Julie Miller, Molly… 1st Edition

Chapter 4, Problem 84

Instant Answer

Solved by Expert Michelle Nguyen

07/27/2020

Step 1

This is done by dividing 695 by 34, which gives us 20. $$695 \div 34 = 20$$ Show more…

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Divide. Write the quotient as a mixed number. $$695 \div 34$$

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Key Concepts

Division

Division is a basic arithmetic operation where one number, called the dividend, is divided by another, called the divisor, to determine how many times the divisor fits into the dividend. This operation produces a quotient and, in cases where the division isn't exact, a remainder.

Long Division Algorithm

The long division algorithm is a step-by-step method used to divide larger numbers manually. It decomposes the dividend into manageable parts, facilitating the systematic computation of the quotient and the remainder.

Remainder and Quotient

When a division does not result in a whole number, the process yields two components: the quotient, representing the number of times the divisor fits completely into the dividend, and the remainder, which is the part left over that does not complete another whole division.

Mixed Numbers

A mixed number is a way to express a number as a combination of a whole number and a proper fraction. This format is particularly useful in division when there is a remainder, as the quotient can be represented as a whole number plus the fractional part given by the remainder over the divisor.

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