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28 Cards in this Set
- Front
- Back
- 3rd side (hint)
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Write a given decimal numeral in expanded form |
Decimals are read "and" also as if they were written as fractions. The place value for whole numbers decreases from the thousandths place to the 1 place. The fractions increase from the 10th place (1/10) all the way to (1/1000) |
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Translate decimal numerals into their word name and vice versa |
3457.968 is read as "three thousand four hundred fifty seven and nine hundred sixty eight thousandths |
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What is the fraction for of seven hundreds |
7/100 is read as "seven hundredths" |
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Order decimals using their decimal representation & their fractionally representation |
Since more is shaded in the 0.7 square (7 tenths) rather then 0.23 which is equivalent to 2 tenths and 3 1's. The 0.7 is larger. |
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Justify moving the decimal point when multiplying or dividing by a power of 10. |
To find the sum 3.2 + 5.7 mentally one may add the whole numbers and then the tenths(the number after the decimal point) Observe that 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 or 5s in its prime factorization. (Since b can be expanded to a power of 10) true or false? |
True |
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Multiplying & Dividing Decimals by powers of 10 |
Let New be any decimal number & my represent any nonzero whole # multiplying a number now by 10m is equivalent to forming a new # by moving the decimal point of n to the right move places |
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Compute sums Decimal approach |
As with whole number addition, arrange the digits in columns according to their corresponding place value & add the numbers in each column regrouping when nessecary |
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Subtraction |
Use the fractionally 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 a decimal model. What you write: multiply. Count the number of decimal places of 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 |
Estimate the answer. Divide using fractions. |
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Change any fraction to its decimal form & vice versa |
Fractions with repeating non terminating decimal representations 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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Fraction simplest Denomination with factors of only 2 or 5 |
Terminating decimal re pretend is zero. |
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Fraction simplest Denominator with at least 1 factor not 2 or 5 |
Non terminating decimal repretend is NOT 0 |
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True or false: every fraction has a repeating deci representation and every repeating decimal has a fractionally representation |
True. Every fraction has a repeating decimal representation and every repeating decimal has a fractionally representation. |
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Ratio |
A ratio is an ordered pair of numbers |
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Proportion |
A proportion is a statement that 2 given ratios are equal. |
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Means |
The mean is the average |
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Extreme |
The extreme is the smallest or largest value of a fraction |
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Ratios as rates |
The ratio of men to women on a starting major league baseball team is 9:0 |
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Ratios as part to part |
In mixing the paint we could use 5 units of red paint and 3 units of blue paint |
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Ratio as part to whole |
2 boys to 5 children |
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Cross multiplying of equal ratios |
An/bn =a/b or an:bn =a:b in the equation a/b=c/d a and do are called the extremes of the equation. A:b =c:d While b and c are called the means |
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The equality of ratios |
The equality of ratios states that 2 ratios are equal iff the products of the means= the product of the extremes. |
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Percent |
"Per hundred" 25% = 0.25 The symbol % is used to represent. |
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Percents |
Fractions. |
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Percent to decimals |
27%=27/100 = 0.27 |
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Decimal to fractions |
17/100 = 17% 2/5=4/10 =40/100=40% |
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