What is the value of 42 – 2(3 • 5 + 1)? (1 point)
8
1
–16
–21
4.
What symbol is needed between –2 and |–3| to make a true statement? (1 point)
<
>
=
5.
What is the value of (32 + 1) – 14 ÷ 2? (1 point)
2
3
–3
–2
42 – 2(3 • 5 + 1) =
42 - 2(16) =
42-32 = ?
32-8 actually. Not 42-32. 42(the 2 is an exponent. So it be 24.
To find the value of the expression 42 - 2(3 • 5 + 1), we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division [from left to right], Addition and Subtraction [from left to right]).
First, we solve the expression inside the parentheses: 3 • 5 + 1 = 15 + 1 = 16.
Then, we multiply the result by 2: 2(16) = 32.
Finally, we subtract 32 from 42: 42 - 32 = 10.
So, the value of 42 - 2(3 • 5 + 1) is 10.
For the symbol between -2 and |–3| to make a true statement, we compare the absolute value of -3 (represented as |-3|) with -2.
The absolute value of -3 is the positive value of -3, which is 3.
So, the comparison becomes -2 ? 3.
To determine the correct symbol between -2 and 3, we need to ascertain which is greater.
Since -2 is less than 3, the correct symbol is < (less than). Therefore, the symbol needed between -2 and |–3| to make a true statement is <.
To find the value of (32 + 1) - 14 ÷ 2, we again follow the order of operations.
First, we perform the division: 14 ÷ 2 = 7.
Then, we add 1 to 32: 32 + 1 = 33.
Finally, we subtract 7 from 33: 33 - 7 = 26.
So, the value of (32 + 1) - 14 ÷ 2 is 26.