What is the simplified result of 22.54 ÷ 4.6 in decimal form?

What is the simplified result of 22.54 ÷ 4.6 in decimal form?

• A. 4.5
• B. 4.9
• C. 5.0
• D. 5.2

Answer: (B)

To determine the simplified result of 22.54 ÷ 4.6, we start by performing the division. First, when dividing 22.54 by 4.6, it is useful to convert both numbers to avoid dealing with decimals. This can be done by multiplying both the numerator and denominator by 10 to eliminate the decimal, resulting in 225.4 and 46, respectively. Now, we can carry out the division: 225.4 ÷ 46.0. When performing this operation, you can either do long division or use a calculator. Either way, you'll arrive at approximately 4.913, which can be rounded. In decimal form, 4.913 rounds to 4.9 when looking at the choices provided. Therefore, this choice correctly reflects the simplified result of the division of 22.54 by 4.6, confirming that the answer is indeed 4.9.

To determine the simplified result of 22.54 ÷ 4.6, we start by performing the division.

First, when dividing 22.54 by 4.6, it is useful to convert both numbers to avoid dealing with decimals. This can be done by multiplying both the numerator and denominator by 10 to eliminate the decimal, resulting in 225.4 and 46, respectively.

Now, we can carry out the division:

225.4 ÷ 46.0.

When performing this operation, you can either do long division or use a calculator. Either way, you'll arrive at approximately 4.913, which can be rounded.

In decimal form, 4.913 rounds to 4.9 when looking at the choices provided. Therefore, this choice correctly reflects the simplified result of the division of 22.54 by 4.6, confirming that the answer is indeed 4.9.