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Tony rounded each of the numbers 1,210 and 1,148 to the nearest hundred. Which choice correctly compares the rounded numbers?

A. [tex]1,200 = 1,200[/tex]
B. [tex]1,200 \ \textgreater \ 1,100[/tex]
C. [tex]1,210 \ \textgreater \ 1,150[/tex]
D. [tex]1,200 \ \textless \ 1,100[/tex]

Sagot :

GinnyAnsweridn
To solve this problem, let's follow these steps:

1. Number Rounding:
- First, consider the number 1,210. To round it to the nearest hundred, we look at the tens digit, which is 1. Since the tens digit is less than 5, we round down, resulting in 1,200.
- Next, consider the number 1,148. To round it to the nearest hundred, we look at the tens digit, which is 4. Since the tens digit is less than 5, we round down, resulting in 1,100.

2. Rounded Values:
- After rounding, we have the following values:
- 1,210 rounds to 1,200
- 1,148 rounds to 1,100

3. Comparison of Rounded Numbers:
- Now, compare the rounded values:
- 1,200 is greater than 1,100.

4. Choosing the Correct Statement:
- Given the comparisons discussed:
- 1,200 = 1,200: This statement is not correct.
- 1,200 > 1,100: This statement is correct.
- 1,210 > 1,150: This statement is not relevant after rounding.
- 1,200 < 1,100: This statement is incorrect.

Based on our step-by-step analysis, the correct comparison is:
[tex]\[ \boxed{1,200 > 1,100} \][/tex]
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