Math  /  Numbers & Operations

QuestionThe number 0.011 approximates the number 0.01 to Select one: a. 3 significant digits b. 2 significant digits c. -2 significant digits d. 1 significant digit e. 0 significant digit

Studdy Solution

STEP 1

1. We are given two numbers: 0.0110.011 and 0.010.01.
2. We need to determine how many significant digits 0.0110.011 approximates 0.010.01.

STEP 2

1. Understand the concept of significant digits.
2. Compare the significant digits of the numbers.
3. Determine the number of significant digits 0.0110.011 approximates 0.010.01.

STEP 3

Significant digits are the digits in a number that contribute to its accuracy. This includes all non-zero digits, any zeros between significant digits, and any trailing zeros in the decimal portion.

STEP 4

Identify the significant digits in each number: - 0.0110.011 has three significant digits: 11, 11, and the zero between them. - 0.010.01 has one significant digit: 11.

STEP 5

Determine how many significant digits 0.0110.011 approximates 0.010.01 by comparing the significant digits.
Since 0.010.01 has only one significant digit, and 0.0110.011 approximates it to the first significant digit, the answer is:
d. 1 significant digit
The number 0.0110.011 approximates the number 0.010.01 to:
1 significant digit\boxed{1 \text{ significant digit}}

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