START
LESSON
GO TO THE GAMES
Click on the correct answer.
You will see the left side of an equation. Then you will see and hear two possible answers for the right side of that equation.
Click on the correct answer.
There are 10 questions in this test.
to start the lesson
Secondary math lessons to learn
'Multiply decimals by 10 100 1000' for 6th grade
6th grade / Number / Decimals / Scaling decimals / Multiply decimals by 10 100 1000
Multiply decimals by 10 100 1000
Due to the fact that our number system is base 10, multiplying decimal numbers by powers of 10 is relatively simple. The digits of the number move around, and there are maybe zeros to add or remove, but the other digits all stay the same. Remember that when we multiply numbers by any number greater than 1 they get bigger so check this once your done.
Let's get our terms straight.
factor x factor = product
23.45 x 100 = 2345
So for the sum 23.45 x 100 = 2345,
- 23.45 and 100 are the factors
- 2345 is the product
When we multiply by 10 the product is 10x bigger than the initial factor.
When we multiply by 1000 the product is 1000x bigger than the factor.
Note that in the example above, the decimal point of the product is not written down because the product is an integer.
Multiply decimals by 10, 100 or 1000 : move the digits
Write the digital factor to be multiplied by a power of 10 down. Keep the digital point still and move all the digits of the digital factor to the left around it. If we are multipling by 10, all the digits move 1 column to the left. If we are multipling by 100, all the digits will move 2 columns to the left, and for multipling by 1000, it is 3 columns.
7.438 x 10 = 74.38
7.438 x 100 = 743.8
7.438 x 1000 = 7438
Alternative method : move the point
Another method is to keep the digits of the decimal number static and move the decimal point to the right. If the factor is 100 move it two places to the right, one for each of the zeros in 100. If you are not writing numbers down, this can be an easier method to visualise in your head.
0.0671 x 10 = 0.671
0.0671 x 100 = 6.71
0.0671 x 1000 = 67.1
Check your answer
Multiplying by a number greater than 1? Then product should be bigger than the original number!
Remember too that multiplying and dividing are inverse operations so you can always check a multiplication by dividing the product by whatever power of 10 you multiplied by and make sure you get the original value returned.
0.0671 x 100 = 6.71
6.71 ÷ 100 = 0.0671
With these interactive math lessons you will be learning "Multiply decimals by 10 100 1000" from
6th grade / Number / Decimals in 3 easy steps. The math in our lessons consists of 6 questions that ask you to multiply by powers of 10 up to 1000 by moving the digits the correct number of columns to the left.
There are 3 easy math lesson activities in this "Multiply decimals by 10 100 1000" tutorial. These activities progress step by step to help you the learner gradually master this math topic. The activities are based on "3 stage questioning", a method of learning that quickly and easily builds your confidence as you work through the short series of lessons that strengthen your knowledge of the math that you want to learn.
When you have completed the tutorial for a topic, you should try some of our games before finally doing the test for your chosen topic. See the Help box below for detailed instructions on how to use the lesson activities to help you learn your math more easily.
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How to use our tutorials to learn
'Multiply decimals by 10 100 1000' for 6th grade
Introduction to the math topic
You start the tutorial with a lesson that introduces the math you will be learning. You will see a set of questions one at a time, and for each question you will see the written answer and also hear the answer to that question.
Repeat the question/answer by clicking on the brown speaker sign. Repeat the question/answer and expand the question graphic by clicking on the question box. Move between questions using the arrow buttons below the question. If there is additional information available for your chosen topic, the "i" button on the left upright bar will be brown on white. Click on the button to load the additional lesson information into the main interface.
Either / Or math lesson
This lesson moves on from the "Introduction" lesson and offers you two possible answers to each question. So, you will see a question then a voice will ask "Is this ... or is it ..." and you will have to choose which of the answers is the one that matches the question.
You choose an answer by clicking or tapping on one of the two answer boxes below the question. You can play the audio for each answer again by clicking on the speaker icon beside the written answer (if robot speech is available and enabled). The program will let you know each time whether you answered correctly. A star will light up red for a wrong answer or white/black for a correct answer.
This lesson asks you the questions in a random order compared to the introduction. At the end of the lesson, you can choose whether to repeat the lesson or move on to the next one.
What is it? math lesson
The final lesson of the tutorial shows you multiple possible answers for each question - you must choose the correct one. You are asked a question and below it are a list of two, three, or four possible written/numeric answers from this topic. Pressing the speaker icon will play the math audio for that answer.
For each picture, click on the answer that matches the question. The program will tell you whether you are right or not. As with the Either / Or activity a system of stars indicate your right and wrong answers. The What is it? lesson will show you all the questions you learned in the Introduction but in a random order.
When you complete the "What is it?" lesson, you can choose whether to go on to play some games with this topic, or whether you want to repeat some or all of the lesson activities in this tutorial. You should expect to get 80% of the answers correct in most of the activities before trying some of the Math games with this topic.
