Question

What is the simplified value of the expression below?

1.6 (negative 4.5 minus (negative 10.2) + 4)


–29.92
–17.12
15.52
29.92

Answer 1

Answer:

$\boxed{\bf \: 1.6[ - 4.5 - ( - 10.2) + 4] = 15.52 \: }$

Step-by-step explanation:

Given expression is

$\sf \: 1.6[ - 4.5 - ( - 10.2) + 4]$

can be rewritten as

$\sf \: = \: 1.6(- 4.5 + 10.2 + 4)$

$\sf \: = \: 1.6(- 4.5 + 14.2)$

$\sf \: = \: 1.6(9.7)$

$\sf \: = \: 1.6 \times 9.7$

$\sf \: = \: 15.52$

Hence,

$\implies\sf \: \boxed{\bf \: 1.6[ - 4.5 - ( - 10.2) + 4] = 15.52 \: }$

$\rule{190pt}{2pt}$

Additional Information

1. Commutative Property of Addition.

$\sf \: \boxed{ \sf{ \:a + b = b + a \: }}$

2. Associative Property of Addition

$\sf \: \boxed{ \sf{ \:(a + b) + c = a + (b + c) \: }}$

3. Additive Identity

$\sf \: \boxed{ \sf{ \:x + 0 = 0 + x = x \: }}$

4. Commutative Property of Multiplication

$\sf \: \boxed{ \sf{ \:a \times b = b \times a \: }}$

5. Associative Property of Multiplication

$\sf \: \boxed{ \sf{ \:(a \times b) \times c = a \times (b \times c) \: }}$

6. Multiplicative Identity

$\sf \: \boxed{ \sf{ \:x \times 1 = 1 \times x = x \: }}$