Let us determine the product of 438 and 17 by partial products.
Consider
and
So,
=
= 7446
Therefore, the product of 438 and 17 is 7446.
No, Sandra's answer is not correct.
Because she should have expressed 17 as (10+7), then if she multiplied (438 by 10) and (438 by 7). And, then added the results.Then her answer would be correct.
<u>Question 4</u>
1) bisects
,
, and
(given)
2) (an angle bisector splits an angle into two congruent parts)
3) and
are right angles (perpendicular lines form right angles)
4) and
are right triangles (a triangle with a right angle is a right triangle)
5) (reflexive property)
6) (HA)
<u>Question 5</u>
1) and
are right angles,
,
is the midpoint of
(given)
2) and
are right triangles (a triangle with a right angle is a right triangle)
3) (a midpoint splits a segment into two congruent parts)
4) (HA)
5) (CPCTC)
<u>Question 6</u>
1) and
are right angles,
bisects
(given)
2) (reflexive property)
3) (an angle bisector splits an angle into two congruent parts)
4) and
are right triangles (a triangle with a right angle is a right triangle)
5) (HA)
6) (CPCTC)
7) bisects
(if a segment splits an angle into two congruent parts, it is an angle bisector)
<u>Question 7</u>
1) and
are right angles,
(given)
2) and
are right triangles (definition of a right triangle)
3) (vertical angles are congruent)
4) (transitive property of congruence)
5) (reflexive property)
6) (HA theorem)
7) (CPCTC)
8) bisects
(definition of bisector of an angle)