Answer the questions below about Line 1 and Line 2 shown
below.
4⋅(8−5)
4⋅8−4⋅5
Answer
The expression was rewritten using the
.
4 ⋅ (8 − 5) equals 4⋅ blank which equals
.
4 ⋅ 8 − 4 ⋅ 5 equals blank − blank which equals blank.
The expression was rewritten using the distributive property.
4 ⋅ (8 − 5) equals 4⋅ 8 − 4 which equals 32 − 4 which equals 28.
4 ⋅ 8 − 4 ⋅ 5 equals 32 − 20 which equals 12.
The expression was rewritten using the distributive property.
4⋅(8−5) equals 4⋅8−4⋅5.
4 ⋅ (8 − 5) equals 4⋅3 which equals 12.
4 ⋅ 8 − 4 ⋅ 5 equals 32 − 20 which equals 12.
To find the answer to the questions, we will go through the steps of simplifying the expressions in Line 1 and Line 2.
In Line 1, we have the expression 4⋅(8−5). To simplify this, we first need to evaluate the expression inside the parentheses (8−5). Subtracting 5 from 8 gives us 3. Now, we can substitute this value back into the original expression and multiply 4 by 3. Therefore, 4⋅(8−5) equals 4⋅3.
In Line 2, we have the expression 4⋅8−4⋅5. Following the order of operations, we need to perform any multiplication or division first. Multiplying 4 by 8 gives us 32, and multiplying 4 by 5 gives us 20. Now, we can substitute these values back into the original expression. Therefore, 4⋅8−4⋅5 equals 32−20.
To find the specific values in the last expression, we can now perform the subtraction. Subtracting 20 from 32 gives us 12. Therefore, 4⋅8−4⋅5 equals 12.
In summary:
- Line 1: 4⋅(8−5) equals 4⋅3.
- Line 2: 4⋅8−4⋅5 equals 32−20, which equals 12.