Problem 376 - Prealgebra

Question

Divide. Then check by multiplying. $$\frac{29}{1}$$

Step-by-Step Solution

Answer

29

Step 1: Identify the Division

Understand that you need to divide 29 by 1. In mathematical terms, this can be written as \( \frac{29}{1} \).

Step 2: Perform the Division

Divide 29 by 1. Since any number divided by 1 is the number itself, \( \frac{29}{1} = 29 \).

Step 3: Verify by Multiplication

To check our division, we multiply the result by the divisor. Multiply 29 (the quotient) by 1 (the divisor): \( 29 \times 1 = 29 \). The result matches the original number, verifying our division.

Key Concepts

division steps

When learning how to divide, breaking the process down into simple steps can make it much less daunting.
Here are the key steps you need to follow to perform basic division:

First, identify the numbers involved. In our example, the problem is written as \( \frac{29}{1} \).
The number 29 is the dividend (the number being divided). The number 1 is the divisor (the number you are dividing by).

Next, perform the division. Since dividing by 1 doesn’t change a number's value, you quickly determine that \( \frac{29}{1} = 29 \).
In essence, any number divided by 1 remains the same. Practice this concept with various numbers to reinforce your understanding.

verification by multiplication

After performing division, verifying your answer can give you confidence that you performed the steps correctly.
Verification typically involves multiplication.

In our example, we calculated \( \frac{29}{1} = 29 \).
To verify, take the quotient (29) and multiply it by the divisor (1): \( 29 \times 1 = 29 \).
The resulting product is the same as the original dividend, confirming that our division was accurate.

This approach works for all division problems, so always remember to multiply your quotient by the divisor.
If your product equals your original dividend, your division is correct!

division by 1

Dividing a number by 1 is one of the simplest arithmetic operations.
When you divide any number by 1, the result is always the number itself.
This is because 1 is the multiplicative identity, which means multiplying (or dividing) any number by 1 results in that number.

In the given exercise, we divided 29 by 1. Mathematically, this is shown as \( \frac{29}{1} = 29 \).
The concept remains the same regardless of the number: \( \frac{n}{1} = n \), where \( n \) is any number.
Practicing this with different values helps reinforce the simplicity and reliability of this type of division.