Question

Simplify the expression: $(0.2)^3 + (0.5)^3 + (0.7)^3 - (4 \times 0.2 \times 0.5 \times 0.7)$

• A. 0.196
• B. 1.96
• C. 19.60
• D. 0.0196

Answer 1

Answer:

A. 0.196

The simplified value of the expression is 0.196.

1. Calculate the cubes of each decimal:

• $(0.2)^3 = 0.2 \times 0.2 \times 0.2 = 0.008$

• $(0.5)^3 = 0.5 \times 0.5 \times 0.5 = 0.125$

• $(0.7)^3 = 0.7 \times 0.7 \times 0.7 = 0.343$

2. Add the values of the cubes together:

• $0.008 + 0.125 + 0.343 = \mathbf{0.476}$

3. Calculate the multiplication part:

• $4 \times 0.2 \times 0.5 \times 0.7$

• Trick: Multiply $4 \times 0.5 = 2$ first.

• Then $2 \times 0.2 = 0.4$

• Finally $0.4 \times 0.7 = \mathbf{0.28}$

4. Perform the final subtraction:

• $0.476 - 0.28 = \mathbf{0.196}$