Chapter 1, Problem 1TFQ

The number 3300 is written as $3.3\times {10}^3$ in both scientific and engineering notation.

To determine

Whether the given statement is true or false.

Answer to Problem 1TFQ

Statement is true, Scientific notation and engineering notation of number 3300 is $3.3\times {10}^3$

Explanation of Solution

Concept Used:

Following steps must be taken to convert a number in scientific notation.

Step 1: Shift decimal point (right side or left side) until there is only one non-zero digit before decimal point.

Step2: Count number of places you shift the decimal point.

Step3:If decimal point gets moved to left then the number goes as positive exponent and if decimal point moves to right then the number goes as negative exponent.

Andfollowing steps must be taken to convert a number in engineering notation.

Step1: To represent number one, two or three digits to the left of decimal point.

Step2: Use power of ten exponent having multiple of 3.

Calculation:

The given number is 3300.

As per the above-mentioned concept,

Scientific notation:

1: Shift decimal point to left side then number is $3.300$ .

2: Here decimal point is moved to three places in left direction thus number is $3.300\times {10}^3$ .

Engineering notation:

To shift number to one, two or three digits to left of decimal point so that exponent power of 10 is multiple of 3, thus number is $3.300\times {10}^3$ .

Conclusion:

Scientific notation and Engineering notation of number 3300 is $3.3\times {10}^3$