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Back to Standard Form

Part of the Exponents & Polynomials section of Coddy's Algebra journey. Lesson 33 of 64.

Reading scientific notation is running the journey in reverse. 4.5 * 10^4 says: take 4.5 and multiply by ten, four times. Each multiplication slides the decimal point one place right: 45, 450, 4500, 45000.

Digits do not change and nothing is added; the point just moves, and empty places fill with zeros. Four hops right from 4.5 lands on 45000, the standard form of the number.

A useful sanity check when converting: the exponent is one less than the number of digits before the decimal point in standard form. 10^4 means five digits: 45000 has them.

Challenge

Easy

Slide the decimal point yourself: each factor of ten moves it one place. Type each line until 2.7 * 10^4 is in standard form.

Try it yourself

2.7 * 10^4

Simplify the expression

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Exponents & Polynomials

1What a Power Is

Repeated Multiplication Squares and Cubes Powers of Negative Numbers Where the Minus Lives Recap: First Powers

4Power of a Power

A Power Raised Again Why Exponents Multiply Product Rule or Power Rule?The Rule in Letters Recap: Power of a Power

7Scientific Notation

Very Large NumbersBack to Standard FormMore Practice, Bigger Numbers Very Small Numbers Multiplying the Notation Recap: Scientific Notation

10Multiplying Polynomials

Monomial Times Polynomial Minding the Signs Binomial Times Binomial With Coefficients The Square of a Binomial A Difference of Squares Recap: Multiplying

2The Product Rule

Multiplying Same Bases With Coefficients More Than Two Factors The Rule in Letters Recap: The Product Rule

5Product and Quotient Powers

Every Factor Gets the Power With a Number Inside A Power of a Quotient All Three Rules Together Recap: Products and Quotients

8What a Polynomial Is

Terms with Powers The Degree Like Terms, Only Stronger Recap: Meet the Polynomials

11Dividing by a Monomial

Splitting the Fraction Dividing by a Variable Term Bigger Splits Cancel with Care Recap: Dividing