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Answer :
To solve the problem, let's round the number [tex]$35.853$[/tex] in two ways:
1. Rounding to the Nearest Tenth:
- The number in the tenths place is [tex]$8$[/tex] (from [tex]$35.8\underline{5}3$[/tex]).
- To round to the nearest tenth, look at the digit in the hundredths place, which is [tex]$5$[/tex].
- Since [tex]$5$[/tex] is equal to [tex]$5$[/tex], we round the tenths digit up. Thus, [tex]$35.853$[/tex] rounded to the nearest tenth is
[tex]$$35.9.$$[/tex]
2. Rounding to the Nearest Hundredth:
- The number in the hundredths place is [tex]$5$[/tex] (from [tex]$35.85\underline{3}$[/tex]).
- To round to the nearest hundredth, look at the digit in the thousandths place, which is [tex]$3$[/tex].
- Since [tex]$3$[/tex] is less than [tex]$5$[/tex], we keep the hundredths digit unchanged. Thus, [tex]$35.853$[/tex] rounded to the nearest hundredth is
[tex]$$35.85.$$[/tex]
Since both roundings are done correctly:
- Marcus, who rounded to the nearest tenth, obtained [tex]$35.9$[/tex].
- Laci, who rounded to the nearest hundredth, obtained [tex]$35.85$[/tex].
Therefore, both Marcus and Laci are correct.
1. Rounding to the Nearest Tenth:
- The number in the tenths place is [tex]$8$[/tex] (from [tex]$35.8\underline{5}3$[/tex]).
- To round to the nearest tenth, look at the digit in the hundredths place, which is [tex]$5$[/tex].
- Since [tex]$5$[/tex] is equal to [tex]$5$[/tex], we round the tenths digit up. Thus, [tex]$35.853$[/tex] rounded to the nearest tenth is
[tex]$$35.9.$$[/tex]
2. Rounding to the Nearest Hundredth:
- The number in the hundredths place is [tex]$5$[/tex] (from [tex]$35.85\underline{3}$[/tex]).
- To round to the nearest hundredth, look at the digit in the thousandths place, which is [tex]$3$[/tex].
- Since [tex]$3$[/tex] is less than [tex]$5$[/tex], we keep the hundredths digit unchanged. Thus, [tex]$35.853$[/tex] rounded to the nearest hundredth is
[tex]$$35.85.$$[/tex]
Since both roundings are done correctly:
- Marcus, who rounded to the nearest tenth, obtained [tex]$35.9$[/tex].
- Laci, who rounded to the nearest hundredth, obtained [tex]$35.85$[/tex].
Therefore, both Marcus and Laci are correct.
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Rewritten by : Barada
