Question

decimal percent of a whole
score: 2/10 penalty: none
question
find 87.3% of 143. round to the nearest tenth.
answer attempt 2 out of 2

Explanation:

Step1: Convert percent to decimal

To find a percentage of a number, first convert the percentage to a decimal by dividing by 100. So, \( 87.3\% = \frac{87.3}{100} = 0.873 \).

Step2: Multiply by the whole number

Now, multiply this decimal by 143. So, \( 0.873 \times 143 \). Let's calculate that: \( 0.873\times143 = 0.873\times(140 + 3)=0.873\times140+0.873\times3 = 122.22+2.619 = 124.839 \).

Step3: Round to nearest tenth

The number 124.839 rounded to the nearest tenth. The tenths place is 8, the next digit is 3 which is less than 5, so we keep 8 as it is. Wait, no, wait: 124.839, the tenths digit is 8, hundredths is 3, so when rounding to nearest tenth, look at hundredths place (3). Since 3 < 5, we round down, so 124.8? Wait, no, wait my calculation: 0.873143. Let me recalculate 0.873143. 1430.8 = 114.4, 1430.07 = 10.01, 1430.003 = 0.429. Then add them: 114.4 + 10.01 = 124.41 + 0.429 = 124.839. Yes, so 124.839. Rounding to nearest tenth: the tenths digit is 8, hundredths is 3, so we round to 124.8? Wait, no, 124.839: the tenths place is 8, the number after is 3, so we don't round up. Wait, but wait, maybe I made a mistake in multiplication. Let me do 14387.3%: 87.3% of 143. Let's do 143 0.873. Let's compute 143 0.8 = 114.4, 143 0.07 = 10.01, 143 0.003 = 0.429. Sum: 114.4 + 10.01 = 124.41 + 0.429 = 124.839. So 124.839. Rounding to nearest tenth: look at the hundredths place, which is 3. Since 3 < 5, we round down, so 124.8? Wait, but 124.839 is closer to 124.8 than 124.9? Wait, no, 124.839: the tenths digit is 8, the next digit is 3, so when rounding to the nearest tenth, we keep the tenths digit as 8, so 124.8. Wait, but wait, maybe I miscalculated the multiplication. Let me use a calculator approach: 143 0.873. 143 0.873: 143 873 = 143(800 + 70 + 3) = 143800=114400, 14370=10010, 143*3=429. Sum: 114400 + 10010 = 124410 + 429 = 124839. Then divide by 1000 (since 0.873 is 873/1000) so 124839 / 1000 = 124.839. Yes, so 124.839. Rounding to nearest tenth: 124.8 (since 0.03 < 0.05). Wait, but wait, 124.839: the tenths place is 8, hundredths is 3, so we round to 124.8. Wait, but maybe the problem expects 124.8 or 124.8? Wait, no, 124.839 rounded to the nearest tenth is 124.8? Wait, no, 124.839: the digit in the tenths place is 8, the digit in the hundredths place is 3, which is less than 5, so we round down, so 124.8. Wait, but let me check again. 124.839: tenths is 8, hundredths 3, thousandths 9. When rounding to nearest tenth, we look at the hundredths place. 3 < 5, so we keep the tenths place as is, so 124.8.

Answer:

124.8