Unit 2.1 - 2.9 Flashcards
Fractions show a _____ being divided by the ______
Fractions show a part being divided by the whole
What do fractions show?
Fractions show the division of the number by the denominator
Fractions are numbers so they can be _____,______,______,______
Added, Subtracted, Multiplied, or Divided
When a fraction is divided by a whole number how does the answer compare with the dividend (the original fraction)?
The quotient is smaller than the original fraction. When this happens, our answer is reasonable.
What is Measurable Division?
Measurable division is when you know the original amount and the size or measure of one part, and we can find the number parts.
How does the general rule look like?
a/c ➗ b/c = a/b
When can we use the general rule?
We can use the general rule when the fractions have the same denominator
What is one possible way to solve two fractions with different denominators?
We can use equivalent fractions in order to solve.
What do you do if fractions do not have equivalent fractions?
You can divide the numerator by the denominator
What is dividing a fraction to its equivalent like?
Dividing a fraction to its equivalent to multiplying by its reciprocal, or multiplicative inverses.
What is the similarities between dividing FRACTIONS with MIXED NUMBERS and dividing MIXED NUMBERS by FRACTIONS?
We can use the invert and multiply method for both types
What are the differences between dividing FRACTION by MIXED NUMBER and MIXED NUMBER by FRACTION?
It is necessary to change the mixed number into a fraction greater than one before invert and multiply method, if the mixed number is the divisor.
When fractions have larger denominators…
It would be more difficult to find common denominators in order to add and subtract
When a problem is solved by regrouping, what is easier to borrow: decimals or fractions?
Decimals
What U-Turn can be used for dividing fractions?
Tape Diagrams
What do you do to make two fractions have equivalent denominators?
You have to find their LCM
How do you find the product of decimals?
You can use the standard algorithm, or partial products
How do you locate the location of the decimal point in a number?
Calculate the number of digits in each factor. The sum represents the number of decimal digits in the product
What is another way to solve a problem that deals with adding and multiplying decimals?
Estimation
How do you do the invert and multiply method?
Keep the dividend, change division to multiplication, and flip the divisor
What are the steps used to change a division question with decimals to a division question with whole numbers?
If the divisor is not a whole number, rewriet the divisor as a whole number by moving the decimal point. Then, move the decimal point in the divident the same number of pplace values as you did in the divisor
What is unit rate?
A quantity of 1 (MPH, Money per hour, Amount sold per hour,)
Solve 865.1475 / 47.25
842.945
What are the steps that you need to chnge a division question with a decimal to a division question with whole numbers?
If the divisor isn’t a whole number, rewrite the divisor as a whole number by moving the decimal point. The number of times the decimal point is moved in the divisor is the number of times it should also be moved on the dividend.
What is GCF?
The greatest whole number which is a common factor of variables a and b.
What is LCM?
The least whole number that is a common multiple of a and b
How do you find the GCF?
- List factor pairs in order using a 2 column chart
- Circle common factors that appear on both lists
- Place a triangle on the greatest factor out of all the circled factors.
How do you find the LCM?
- List the first 10 multiples of each number
- Circle the multiples that appear on both lists
- Place a trinagle on the multiple that is the least.
How do you use prime factors to solve?
- Make a prime factor tree
- Circle each pair of numbers that appear on both trees
- Use a venn diagram to compare the factors
- Multiply each pair of factors to find the GCF
Find the GCF of 24 and 40
8
Find the GCF of 11 and 18
6
Find the LCM of 30 and 60
30
How do you use the distributive property to find the GCF of two numbers?
Find the GCF of both numbers
Divide each factor by the GCF
Set up your expressions
GCF (1ST FACTOR) + GCF (SECOND FACTOR) = GCF (1ST AND 2ND FACTOR)
What is the U-turn used for the distributive property?
Add the numbers together, and it should match with what you got
What U-Turn would you use for Dividing Decimals?
Use inverse operations, and multiply the divisor by the quotient to get the dividend
What U-Turn can you use for dividing whole numbers?
Inverse Operations
What u-turn can you use for Decimals times decimals?
Estimation
What U-Turn can you use to find the product of a whole number x decimal?
Partial Products
Find 200 x 32.6; Remember to do a u-turn
6520
What u-turn can be used for sums and differences of decimals?
Estimation
How do you create a model for a fraction divided by a whole number?
Draw the fraction, divide it by the whole number, circle the top,
How do you create a model for whole number divided by fraction?
Draw the whole number
