Use properties of equality to simplify each of the following expressions so that you can simplify them in your head. Identify the properties used and describe how you used them.
1. 4 • (–3) • 5
2. (2.25 • 23) • 4
3.
4. 5 • 12 • (–2)
5. 35(26)(0)
1. 4 • (-3) • 5 = -60. The property used here is the associative property of multiplication, which allows us to rearrange the order of multiplication.
2. (2.25 • 23) • 4 = 207. The property used here is the associative property of multiplication, which allows us to rearrange the order of multiplication.
3. This expression is not provided, so it cannot be simplified.
4. 5 • 12 • (-2) = -120. The property used here is the associative property of multiplication, which allows us to rearrange the order of multiplication.
5. 35 • 26 • 0 = 0. The property used here is the zero property of multiplication, which states that any number multiplied by 0 is equal to 0.