9⋅(5⋅2) equals 9, dot
9
⋅
9⋅
which equals
.
9⋅(5⋅2) equals 90.
9⋅9 equals 81.
When solving an equation, Emily's first step is shown below. Which property justifies Emily's first step?
Original Equationcolon
Original Equation:
Original Equation:
minus, x, minus, 2, equals, 2
−
�
−
2
=
−x−2=
2
2
First Stepcolon
First Step:
First Step:
minus, x, equals, 4
−
�
=
−x=
4
4
The property that justifies Emily's first step is the addition property of equality. According to this property, if you add the same number to both sides of an equation, the equality is still maintained. In this case, Emily added 2 to both sides of the equation, which is a valid step according to the addition property of equality.
Use the distributive property to write an equivalent expression.
2, left bracket, g, plus, 8, right bracket
2
(
�
+
8
)
2(g+8)
The equivalent expression using the distributive property is 2g + 16.
Write an equivalent expression by distributing the "minus
−
−" sign outside the parentheses:
minus, left bracket, minus, 6, point, 2, d, plus, 5, f, minus, 10, right bracket
−
(
−
6.2
�
+
5
�
−
10
)
−(−6.2d+5f−10)
The equivalent expression by distributing the "minus" sign outside the parentheses is 6.2d - 5f + 10.
Between which two consecutive whole numbers does square root of, 89, end square root
89
89
lie? Fill out the sentence below to justify your answer and use your mouse to drag square root of, 89, end square root
89
89
to an approximately correct location on the number line.
The square root of 89 lies between the consecutive whole numbers 9 and 10.
Justification:
When we calculate the square root of 89, we find that it is approximately 9.43. Since 9.43 is closer to 9 than to 10, we can conclude that the square root of 89 lies between these two consecutive whole numbers.
Approximate location on the number line:  is located approximately 3/10 (or 0.3) of the way between 9 and 10 on the number line.