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28 Cards in this Set
- Front
- Back
- 3rd side (hint)
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Translate decimal numerals into their word name & vice versa. |
It's 3457.968 is read as: "three thousand four hundred fifty seven AND nine hundred, sixty eight thousandths) |
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What is 0.07 read as |
7/100 0.07 is read as "seven hundreths" |
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Order decimals using the digit square based on the decimals greatness |
In the digit square more is shaded in the 0.7 square so 0.7 is greater then 0.23 |
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Write a given decimal numeral in expanded form |
Decimals are read as if they were written as fractions. And the decimal point is read "and" the number 3457.968 is written in expanded form as 3 (1000)+4 (100)+5 (10)+7 (1)+9 (1/10) +6 (1/100)+8 (1/1000) With whole numbers the place value decreases with fractions the whole number increased |
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Find the sum 3.2+5.7 |
To find the sum 3.2+ 5.7 mentally one may add the whole number parts and then the tenths. Observe that the whole number parts were added first, then the tenths> the addition took place from left to right. |
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Let a/b be a fraction in simplest form |
Then a/b has a terminating decimal representation iff b contains only 2s and or 5s in its prime factorization. (Since b can be expanded to a power of 10) |
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Multiplying and dividing decimals by powers of 10.
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Let n be any decimal number and my represent any nonzero whole number now by 10m is equivalent to forming a new # by moving the deci point of n to the left m places. |
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Decimal approach |
As with whole number addition arrange the digits in columns according to their corresponding place value and add the numbers in each column regrouping when nessecary |
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Subtraction |
Use the fraction approach we used with addition. |
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Multiplication |
Find 0.5×0.3 use what you know about multiplying whole numbers to multiply decimals What you think: think of 0.5 as shading the first 5 columns of a decimal model. Think of 0.3 as shading the first 3 rows of the decimal model. What you write: multiply count the number of decimal places in each factor to place the decimal in the product. |
0.5×0.3=0.15 1 decimal place + 1 decimal place =2 decimal places |
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Dividing |
Divide 154.63÷ 4.7 1st estimate the answer 2nd divide using fractions |
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Fractions with repeating non terminating decimal representation |
Fractions with repeating non terminating decimal representation
Let a/b be a fraction written in simplest form then a/b has a repeating decimal representation that doesn't terminate iff b has a prime factor other then 2 or 5. |
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Simplest fraction: denom with factors of only 2 or 5 |
Terminating decimal re pretend is 0 |
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Fraction (simplest) |
Denominator with at least 1 factor not 2 or 5 would have a non terminating decimal repretend is NOT 0 |
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Every fraction has a repeating decimal representation and every repeating decimal has a fractional representation true or false |
True every fraction has a repeating decimal representation and every repeating decimal has a fraction representation |
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Definition of ratio |
A ratio is an ordered pair of numbers.
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Definition of proportion |
A proportion is a statement that 2 given ratios are equal |
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Means definition |
Average |
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Extreme |
The smallest or largest value of a fraction. |
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Examples of ratios as rates |
Ratios as rates The ratios of men to women on a starting league baseball team is 9:0 |
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Ratio as part-to -part |
In mixing the paint we could use 5 units of blue paint and 3 units of red paint. |
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Ratio as part to whole |
2 boys to 5 children |
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Cross multiplication of equal ratios |
Equality of ratios Let a/b and c/d be any 2 ratios then a/b= c/d if and only if ad=be Just as with fractions this definition can be used to show that if not is a nonzero whole number then an/bn= a/bon in this equation a and do are called the extremes since a+do are at the "extremes" of the equation. A:b=c:d while b and c are called the means of the equation. |
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Equality of ratios |
States that 2 ratios are equal if and only if the products of the means=the product of the extreme. |
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Percent= |
Per hundred. 25 percent means 25 per 100. 25/100 or 0.25 the symbol percent % is used to represent. |
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Perfect as fractions |
63% =63/100 by definition of percent. |
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Percent to decimals |
27% =27/100 or 0.27 |
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You're going to do |
GREAT 😍😍😍😍 |
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