The zoom-out continues, to a view of 100 meters (102 m), then 1 kilometer (103 m), and so on, increasing the perspectiveâthe picnic is revealed to be taking place near Soldier Field on Chicago's waterfrontâand continuing to zoom out to a field of view of 1024 meters, or the size of the observable universe. The viewpoint, accompanied by expository voiceover, then slowly zooms out to a view ten meters across ( or 101 m in standard form), revealing that the man is picnicking in a park with a female companion. The film begins with an aerial image of a man reclining on a blanket the view is that of one meter across. The film depicts the relative scale of the Universe in factors of ten (see also logarithmic scale and order of magnitude).
Power of ten video how to#
After we move the decimal place 3 spaces to the right, our answer becomes 500.īe sure to check out my YouTube video above which goes over in more detail how to multiply a decimal by a power of ten.įor extra practice on the topic, check out my free printable worksheet and answers below.Video - : Powers of Ten is a 1977 short documentary film written and directed by Charles Eames and his wife, Ray. Our exponent was 3 so we move the decimal to the right 3 places. The second step is, we have to move the decimal to the right the same number of times as our exponent. Well, we can still do that but there is an extra step that needs to happen. Remember when multiplying a whole number by a power of 10 we added the zeros and we were done. Let’s walk through an example to show this. When multiplying a decimal by a power of 10, the steps change slightly. Steps For Multiplying Decimals By A Power Of Ten Adding a zero to the end doesn’t change the value of the decimal. Try the given examples, or type in your own problem and check your answer with the. Try the free Mathway calculator and problem solver below to practice various math topics.
A little shortcut when it comes to multiplying and dividing decimal number by powers of 10. That is the same thing as our original number of 2.5. This video explains how to divide whole numbers and decimals by powers of ten. If we were to add a zero to the end of 2.5, we would have 2.50. There are 3 zeros in 1000 and therefore 7 x 1000 = 7000.īut what happens when you start multiplying decimals by a power of 10?Ĭan you simply add zeros to the end and get your answer? It is the same thing as multiplying 7 x 1000 right. You simply take the whole number and add the corresponding number of zeros from your exponent. The answer would be 7 followed by 3 zeros, or 7,000. Now, last time we multiplied whole numbers by a power of 10 and found that a similar pattern exists.įor example, 7 x 10 cubed. So going back to our example of 10 to the 4th, the answer would be 1 followed by 4 zeros.ġ0,000 is the standard form of 10 to the 4th power When looking at the powers of 10 as an exponent – the index tells you how many zeros your answer should have. What we have learned from previous videos is, the index itself gives us clues as to how to quickly identify the standard form of this exponent without doing the repeated multiplication the long way.
So for 10 to the 4th power it would mean 10 multiplied by itself 4 times. We can write that in exponential form by showing 10 as the base and the index as being the number of times that 10 is multiplied by itself. It is repeated multiplication of the number 10.
(printable worksheets and answers found at the bottom of this post) Quick Review Of The Powers Of TenĪ power of 10 is basically the number 10 multiplied by itself a certain number of times.
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