Question

question
find 65.1% of 464. round to the nearest tenth.
answer attempt 1 out of 2

Explanation:

Step1: Convert percentage to decimal

To find a percentage of a number, we first convert the percentage to a decimal by dividing by 100. So, \( 65.1\% = \frac{65.1}{100} = 0.651 \).

Step2: Multiply by the number

Now, we multiply this decimal by 464. So, \( 0.651 \times 464 \). Let's calculate that: \( 0.651\times464 = 0.651\times(400 + 60 + 4)=0.651\times400+0.651\times60 + 0.651\times4 = 260.4+39.06+2.604 = 302.064 \).

Step3: Round to the nearest tenth

The number 302.064, when rounded to the nearest tenth, we look at the hundredth place which is 6. Since 6 > 5, we round up the tenth place. So, 302.064 rounded to the nearest tenth is 302.1.

Answer:

302.1