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Multiplying and Dividing by Powers of 10

By jimbabweiberg

The instructor uses an interactive white board to show that multiplying a decimal by 10 100 1 000 or 10 000 moves the decimal one two three or four places to the right. He displays a calculator to show this as well. He also explains and shows that dividing by a power of 10 moves the decimal place to the left according to the number of zeros in the number you are multiplying by.

Multiplying Single Digit Numbers by Powers of 10

By StoneBridgeMath

This video demonstrates what it means to multiply a single digit number by a power of ten. For example 4 x 10 5 x 100 or 3 x 1000. This video can be used to build understanding of place value and would be a good precursor to expanded notation.

Dividing Scientific Notation | MathHelp.com

By MathHelp.com

To multiply numbers that are in written in scientific notation, such as 1.4 x 10 to the -2nd times 5.3 times 10 to the 6th, we first multiply the decimals, in this case 1.4 times 5.3, to get 7.42. Next, we multiply the powers of 10, in this case 10 to the -2nd times 10 to the 6th. Notice that we’re multiplying two powers that have like bases, so we add the exponents and leave the base the same, to get 10 to the -2 + 6, or 10 to the 4th. So we have 7.42 times 10 to the 4th. Finally, we’re asked to write our answer in scientific notation. Notice, however, that 7.42 times 10 to the -4th is already written in scientific notation, because we have a decimal between 1 and 10 that is multiplied by a power of 10. So we have our answer.

[5.NBT.2-1.0] Multiplying/Dividing by 10 - Common Core Standard - Practice Problem

By Front Row

Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, use whole-number exponents to denote powers of 10

Multiplying Scientific Notation | MathHelp.com

By MathHelp.com

In this example, which involves natural logarithms, we’re asked to solve each of the following equations for x, and leave our answers in terms of e. To solve for x in the first equation, ln x = 3, we simply switch the equation from logarithmic to exponential form. Remember that ln x means the natural logarithm of x, and a natural log has a base of e. So, to convert the given equation to exponential form, remember that the base of the log represents the base of the power, the right side of the equation represents the exponent, and the number inside the log represents the result, so we have e…to the 3rd…= x, and we’ve solved for x. Notice that our answer, e cubed, is written in terms of e, which is what the problem asks us to do. Now, let’s take a look at the second equation, ln x squared = 8. Again, we solve for x by switching the equation from logarithmic to exponential form. Ln x squared means the natural logarithm of x squared, and a natural log has a base of e. So, converting the equation to exponential form, we have e…to the 8th…= x squared. Next, since x is squared, we take the square root of both sides. On the right, the square root of x squared is x. On the left, however, there are a couple of things to watch out for. First, remember that the square root of e to the 8th is the same thing as e to the 8th to the ½, which simplifies to e to the 8 times ½, or e to the 4th. Also, remember that when we take the square root of both sides of an equation, we use plus or minus, so our final answer is plus or minus e to the 4th = x.

Product Rule | Adding Exponents | MathHelp.com

By MathHelp.com

This lesson covers multiplying integers. Students learn to multiply integers using the following rules. A positive times a positive equals a positive. For example, +3 x +5 = +15. A positive times a negative equals a negative. For example, +3 x -5 = -15. A negative times a positive equals a negative. For example, -3 x +5 = -15. And a negative times a negative equals a positive. For example, -3 x -5 = +15. In other words, if the signs are the same, the product is positive, and if the signs are different, the product is negative.

What is an Exponent & Powers of 10? - [5]

By Math and Science

Quality Math And Science Videos that feature step-by-step example problems!

Maths Questions - MathHelp.com - 1000+ Online Maths Lessons

By MathHelp.com

Converting to Scientific Notation | MathHelp.com

By MathHelp.com

Exponents: Multiplying Variables with Rational Exponents – Basic Ex 2

By PatrickJMT

Exponents: Multiplying Variables with Rational Exponents – Basic Ex 2

Calculate Exponents & Learn to Use Exponents in Math - [5-7-15]

By Math and Science

Quality Math And Science Videos that feature step-by-step example problems!

[5.NBT.2-2.0] Multiplying/Dividing by 10 - Common Core Standard

By Front Row

Discover more Common Core Math at https://www.frontrowed.com Explain patterns in the placement of the decimal point when a decimal is multiplied by a power of 10, use whole-number exponents to denote powers of 10 Front Row is a free, adaptive, Common Core aligned math program for teachers and students in kindergarten through eighth grade. Front Row allows students to practice math at their own pace - learning advanced concepts when they're ready and receiving remediation when they struggle. Front Row provides teachers with access to a detailed data dashboard and weekly email reports that show which standards are causing students difficulty, what small groups can be formed for interventions, and how their students are progressing in math.Discover more Common Core Math at https://www.frontrowed.com