High School

How can I estimate [tex]$193 + 301$[/tex]?

1. First, round each number to the nearest hundred.

2. 193 rounds to [tex]\square[/tex].

3. 301 rounds to [tex]\square[/tex].

Answer :

To estimate the sum of [tex]$193 + 301$[/tex], we first round each number to the nearest hundred:

1. For [tex]$193$[/tex]:
- The two closest hundreds are [tex]$100$[/tex] and [tex]$200$[/tex].
- Since [tex]$193$[/tex] is closer to [tex]$200$[/tex] than to [tex]$100$[/tex], we round [tex]$193$[/tex] to [tex]$200$[/tex].

2. For [tex]$301$[/tex]:
- The two closest hundreds are [tex]$300$[/tex] and [tex]$400$[/tex].
- Since [tex]$301$[/tex] is closer to [tex]$300$[/tex] than to [tex]$400$[/tex], we round [tex]$301$[/tex] to [tex]$300$[/tex].

Once both numbers are rounded, we add the results:

[tex]$$200 + 300 = 500$$[/tex]

Thus, the estimated sum of [tex]$193 + 301$[/tex] is [tex]$500$[/tex].