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Which of the following will have a 4 at the unit place?

A. [tex]19^2[/tex]
B. [tex]27^2[/tex]
C. [tex]24^2[/tex]
D. [tex]855^2[/tex]

Sagot :

GinnyAnswer
To determine which of the following numbers has a specific unit place when squared, we need to calculate the unit place of the square of each number.

1. Calculating the units place of [tex]\( 19^2 \)[/tex]:
- [tex]\( 19^2 = 361 \)[/tex]
- The unit place of [tex]\( 361 \)[/tex] is [tex]\( 1 \)[/tex].

2. Calculating the units place of [tex]\( 27^2 \)[/tex]:
- [tex]\( 27^2 = 729 \)[/tex]
- The unit place of [tex]\( 729 \)[/tex] is [tex]\( 9 \)[/tex].

3. Calculating the units place of [tex]\( 24^2 \)[/tex]:
- [tex]\( 24^2 = 576 \)[/tex]
- The unit place of [tex]\( 576 \)[/tex] is [tex]\( 6 \)[/tex].

4. Calculating the units place of [tex]\( 855^2 \)[/tex]:
- To find the unit place, we only need to consider the unit place of [tex]\( 855 \)[/tex], which is [tex]\( 5 \)[/tex].
- Squaring this digit: [tex]\( 5^2 = 25 \)[/tex]
- The unit place of [tex]\( 25 \)[/tex] is [tex]\( 5 \)[/tex].

Given this information, the units places are as follows:
- [tex]\( 19^2 \)[/tex] has a unit place of [tex]\( 1 \)[/tex].
- [tex]\( 27^2 \)[/tex] has a unit place of [tex]\( 9 \)[/tex].
- [tex]\( 24^2 \)[/tex] has a unit place of [tex]\( 6 \)[/tex].
- [tex]\( 855^2 \)[/tex] has a unit place of [tex]\( 5 \)[/tex].

Thus, the only one with units place of [tex]\( 1 \)[/tex] is [tex]\( 19^2 \)[/tex].

Therefore, [tex]\( 19^2 \)[/tex] is the answer.
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