Question

write the following decimal in words: .0059
select one of four
fifty - nine hundred - thousandths
fifty - nine hundredths
fifty - nine ten - thousandths
fifty - nine thousandths
remaining attempts: 1

Explanation:

Step1: Analyze decimal places

The decimal is.0059. The places after the decimal are: first 0 (tenths), second 0 (hundredths), 5 (thousandths), 9 (ten - thousandths). So the number is 59 ten - thousandths? Wait, no. Wait, let's write the decimal as a fraction. \(0.0059=\frac{59}{10000}\). Because the fourth decimal place is ten - thousandths. So the decimal.0059 is fifty - nine ten - thousandths? Wait, no, let's count the decimal places. The first digit after decimal: tenths (1/10), second: hundredths (1/100), third: thousandths (1/1000), fourth: ten - thousandths (1/10000). So 0.0059: the digits are 0 (tenths), 0 (hundredths), 5 (thousandths), 9 (ten - thousandths)? Wait, no, 0.0059 is 0 + 0/10+0/100 + 5/1000+9/10000=\frac{50 + 9}{10000}=\frac{59}{10000}, which is fifty - nine ten - thousandths? Wait, no, ten - thousandths is 1/10000, so 59/10000 is fifty - nine ten - thousandths? Wait, but let's check the options. The options are:

1. fifty - nine hundred - thousandths: 59/100000
2. fifty - nine hundredths: 59/100
3. fifty - nine ten - thousandths: 59/10000
4. fifty - nine thousandths: 59/1000

Now, 0.0059=\frac{59}{10000}, so it's fifty - nine ten - thousandths? Wait, no, wait 0.0059: let's write it as 5.9\times10^{- 3}? No, 0.0059 = 59\times10^{-4}=59\times\frac{1}{10000}, so yes, 59 ten - thousandths? Wait, no, ten - thousandths is 10^{-4}, so 59\times10^{-4}=\frac{59}{10000}, so the decimal.0059 is fifty - nine ten - thousandths? Wait, but let's check the decimal places again. The first decimal place: 10^{-1}, second: 10^{-2}, third: 10^{-3}, fourth: 10^{-4}. So the digits are at the fourth decimal place (9) and third (5). So 5 is at 10^{-3} (thousandths) and 9 at 10^{-4} (ten - thousandths). Wait, no, 0.0059 is 0.005 + 0.0009=5/1000+9/10000=(50 + 9)/10000=59/10000. So yes, 59/10000 is fifty - nine ten - thousandths. Wait, but the option is "fifty - nine ten - thousandths". Wait, but let's check the options again. The options are:

• fifty - nine hundred - thousandths: 59/100000 = 0.00059
• fifty - nine hundredths: 59/100 = 0.59
• fifty - nine ten - thousandths: 59/10000 = 0.0059
• fifty - nine thousandths: 59/1000 = 0.059

Ah, so 0.0059 is equal to 59/10000, which is fifty - nine ten - thousandths. Wait, but the option says "fifty - nine ten - thousandths". Wait, but let's confirm. So the correct option is the third one: fifty - nine ten - thousandths? Wait, no, wait 0.0059: let's count the decimal places. The number is 0.0059. The first zero after decimal: tenths place (1/10), second zero: hundredths (1/100), 5: thousandths (1/1000), 9: ten - thousandths (1/10000). So the value is 5 thousandths + 9 ten - thousandths = 50 ten - thousandths + 9 ten - thousandths = 59 ten - thousandths. So yes, 0.0059 is fifty - nine ten - thousandths. So the correct option is the one with "fifty - nine ten - thousandths".

Answer:

C. fifty - nine ten - thousandths (assuming the options are labeled A, B, C, D with A: fifty - nine hundred - thousandths, B: fifty - nine hundredths, C: fifty - nine ten - thousandths, D: fifty - nine thousandths)