Question

the digit 4 in which number represents a value of 0.04? choose 1 answer: a 3.545 b 2.174 c 0.411

Explanation:

Step1: Recall place values

In a decimal number, the places to the right of the decimal are tenths ($\frac{1}{10}$), hundredths ($\frac{1}{100}$), thousandths ($\frac{1}{1000}$), etc. A digit in the hundredths place has a value of $0.01\times$ digit, so for a value of 0.04, the digit 4 should be in the hundredths place (since $0.01\times4 = 0.04$).

Step2: Analyze option A

In 3.545, the digits after the decimal are 5 (tenths place, value 0.5), 4 (hundredths place, value $0.01\times4=0.04$), and 5 (thousandths place, value 0.005). So the 4 here has a value of 0.04.

Step3: Analyze option B

In 2.174, the digits after the decimal are 1 (tenths place, 0.1), 7 (hundredths place, 0.07), 4 (thousandths place, $0.001\times4 = 0.004$). So the 4 here has a value of 0.004, not 0.04.

Step4: Analyze option C

In 0.411, the digits after the decimal are 4 (tenths place, $0.1\times4 = 0.4$), 1 (hundredths place, 0.01), 1 (thousandths place, 0.001). So the 4 here has a value of 0.4, not 0.04.

Answer:

None of the options A, B, C is correct. Wait, let's re - evaluate:

Wait, the value 0.04 means the 4 is in the hundredths place.

• For option A: 3.545. The digit 4 is in the hundredths place. $3.545 = 3 + 0.5+0.04 + 0.005$, so the 4 here has a value of 0.04.
• For option B: 2.174. The digit 4 is in the thousandths place, and its value is 0.004.
• For option C: 0.411. The digit 4 is in the tenths place, and its value is 0.4.

So the correct answer should be A. 3.545