Answer:
[tex]$ \mbox{\large $ 70000$ } $[/tex]
Step-by-step explanation:
1.) In rounding numbers, look for the digit of the number that you will be rounding to. In this case, it is the ten thousands place of the number [tex]67345[/tex].
⇒ [tex]$ \mbox{\large $ \textnormal{The ten thousands place of the number} \ 67345 \ \textnormal{is} \ 6.$ } $\\[/tex]
2.) Next, look at the digit that is at the right of the digit that you will be rounding the number to. In this case, it is the thousands place.
If the digit is 5 or more, round up by adding 1 to the digit to be rounded and making the rest of the digits turn into a zero. Otherwise, if it is 4 or below, round down by making the rounded digit left unchanged and change the rest of the digits to a zero.
⇒ [tex]$ \mbox{\large $ \textnormal{The thousands place of the number} \ 67345 \ \textnormal{is} \ 7.$ } $[/tex]
⇒ [tex]$ \mbox{\large $ \textnormal{Since} \ 7 \geq 5, \ \textnormal{then add 1 to the ten thousands place.}$ } $[/tex]
⇒ [tex]$ \mbox{\large $ 6 + 1 = 7$ } $[/tex]
⇒ [tex]$ \mbox{\large $ \therefore 67345 \approx \bold{70000}, \textnormal{when rounded to the nearest ten thousand.}$ } $[/tex]
3.) Therefore, if you round the number [tex]67345[/tex] to the nearest ten thousand, the answer will be [tex]70000[/tex].
I hope this helps you understand this concept in Mathematics.
Stay safe po.
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