Chapter 3 Flashcards
(15 cards)
(3C)
True or false: Arithmetic rules we use for integers also apply to fractions.
True.
(3C)
True or false: Subtracting a larger positive fraction from a smaller positive fraction will result in a positive fraction.
False.
Subtracting a larger positive fraction from a smaller positive fraction will result in a negative fraction.
Example: 1/5 - 2/3 = 3/15 - 10/15 = -7/15
(3C)
Adding a negative fraction is equivalent to…
Subtracting its opposite.
Example: 1/2 + (-1/3) = 1/2 - (+1/3) = 1/2 - 1/3
(3C)
Subtracting a negative fraction is equivalent to…
Adding its opposite.
Example: 1/2 - (-1/3) = 1/2 + (+1/3) = 1/2 + 1/3
(3C)
The product or quotient of two fractions of the same sign (positive or negative) is a _ fraction.
Positive fraction.
Examples:
Product: 1/3 x 2/5 = 2/15 or -1/3 x (-2/5) = 2/15
Quotient: 2/15 ÷ 1/3 = 2/5 or -2/15 ÷ (-1/3) = 2/5
(3C)
The product of two fractions of the opposite sign (_ and _) is a _ fraction.
(Postive and negative)
A negative fraction.
Examples:
Product: 1/2 x (-1/4) = -1/8 or 1/2 x 1/4 = -1/8
Quotient: 1/8 ÷ (-1/2) = -1/4 or -1/8 ÷ 1/2 = -1/4
(3D)
When dealing with decimal numbers, the place value table is extended to involve tenths, _, _, etc.
Tenths, hundredths, thousandths, etc.
Example: 517.364 means:
5 hundreds (5x100)
1 tens (1x10)
7 units (7x1)
.
3 tenths (3x1/10)
6 hundredths (6x1/100)
4 thousandths (4x1/1000)
(3D)
How do you convert a decimal to a fraction?
Put the stated decimal over the tenth, hundredth, thuosandth etc. accordingly like a fraction (e.g. 0.64 = 64/100) and then simplify it (e.g. 64/100 = 16/25).
(3D)
How do you convert a fraction to a decimal?
If the denominator is a power of a ten, then divide it accordingly. If the denomiator is not a power of ten, try to find an equivalent fraction for which the denominator is a power of ten and then convert it. If neither is possible, then dividing the numerator and dominator will always get you the decimal of the fraction.
(3E)
What do you have to do when adding and subtracting decimals?
You must align each decimal accordingly.
(3E)
What happens to the decimal when multiplying and dividing by power of ten?
Multiplying: Decimal goes to the right
Dividing: Decimal goes to the left
(3E)
When multiplying decimals, what do you do?
You multiply it like a normal number and then adding the decimal places later on.
(3E)
What do we do when we divide decimals?
We avoid dividing decimals by other decimals. Instead, we change the divisor into a whole number. Of course, whatever change we make to the divisor we must also mawke to the dividend, so it is equivalent to multiplying by one and the value is not changed.
(3F)
What is the difference between a terminating and recurring decimal?
A terminating decimal has a finite number of decimal places. A recurring decimal has an inifite number of decimal places with a finite sequence of digits that are repeated indefinitely.
