When we add or subtract fractions, we must have common denominators.There are two ways to find common denominators:1. Make the larger denominator (smaller pieces) your "goal." Ask, "How can I change my denominator to make it match my goal denominator?" ex: The circled denominator is my goal. What can I multiply by 5 to get ten? 5 x 2 equals 10. I will do 2 x 2 on the top to make an equivalent fraction. Now I can add them together (my denominators match!!) 2. Multiply the denominators by each other. ex: Since three cannot be multiplied by anything to equal 5, we will have to do 3 x 5 and 5 x 3 to make a common denominator of 15. We will have to repeat this process on the top of the fractions (1 x 5) and (2x3) since fractions must be fair!
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Here is an example of Decimal Expanded Form:
Say we have the number 0.54. To write it in expanded form, we first list the number we see 5. Next we think about what place value that number is in tenths. Last we show that we have five tenths 5 x 0.1 (five times one tenth equals five tenths) Repeat with the next number 4 hundredths = 4 x 0.01 So 5 x 0.1 + 4 x 0.01 = .54!!! Here is an example of Fraction Form: Say we have the number 0.54. That can also be written as 54/100. To write in it in expanded form, we first list the number we see 5. Next we think about what place value that number is in tenths. Last we show that we have five tenths 5 x 1/10 Repeat with the next number 4 hundredths = 4 x 1/100 So 5 x 1/10 + 4 x 1/100 = 54/100!!! Remember, when we multiply by a power of ten, we count the amount of zeros and swoop that many places (starting at the decimal) to the right. The number becomes bigger after we multiply.
ex) 0.05 x 10 ------> 0.5 When we divide by a power of ten, we also count the amount of zeros and swoop that many places (starting at the decimal). However, we now swoop to the left instead of the right. The number becomes smaller after we divide. ex) 0.05 / 10 ----------> 0.005 REMEMBER: When writing a number in word form, look at the numbers between each set of commas. I like to circle or underline each section of numbers (between commas) to help me read the number. I then write the underlined numbers as I see them and add the label at the end!
For Example: 7, 245, 541M TH H SEVEN million, TWO HUNDRED FORTY-FIVE thousand, FIVE HUNDRED FORTY-ONE |
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