Question

1.000−(0.0100×0.10)÷10+0.00100=

a. 1.0

b. 0.999

c. 1.001

d. 1.0

Answer 1

The correct answer to the expression 1.000−(0.0100×0.10)÷10+0.00100 is 1.001 after following the order of operations and rounding to three significant figures.

Step-by-step explanation:

The expression you provided is 1.000−(0.0100×0.10)÷10+0.00100. To solve it, follow the order of operations, commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Firstly, tackle the parentheses and multiplication:

• (0.0100 × 0.10) = 0.0010

Next, perform the division:

• 0.0010 ÷ 10 = 0.00010

Then perform the subtraction and addition in the order they appear:

• 1.000 - 0.00010 = 0.99990
• 0.99990 + 0.00100 = 1.00090

Hence, rounding to three significant figures, the correct answer is 1.001, which corresponds to option (c).