explain the pattern used to place the decimal in the answer when you multiply or divide a decimal by a power of 10

Answers

Answer 1

Answer: when multiplying by 10, you basically add a zero to the right; everything moves up one decimal place to the left.

when diving, it is he opposite, you basically take away a zero place; everything goes to the right one decimal place.

ex:
10x6=60
6/10= 0.6
10x54=540
54/10=5.4

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amy uses 2/3 of a yard of fabric for each pillow she makes. how many yards of fabric will she need in order to make 8 pillows? write the simplest form

Answers

Answer:

The amount of fabric needed for 8 pillows is $(16)/(3)$ of a yard.

Step-by-step explanation:

We are given that,

Amount of fabric Amy uses for each pillow = $(2)/(3)$ of a yard.

It is required to find the amount of fabric needed for 8 pillows.

So, we have,

The amount of fabric for 1 pillow = $(2)/(3)$

The amount of fabric for 8 pillows = $(2)/(3)* 8$ = $(16)/(3)$

Hence, the amount of fabric needed for 8 pillows is $(16)/(3)$ of a yard.

Amy will need 5 1/3 yards of fabric in order to make 8 pillows. This represents the total amount of fabric required for all 8 pillows, considering she uses 2/3 of a yard for each pillow.

To find the total amount of fabric Amy will need to make 8 pillows, we can use the concept of multiplication. Since she uses 2/3 of a yard of fabric for each pillow, we can multiply the amount of fabric required for one pillow (2/3 yard) by the number of pillows (8) to get the total amount.

Total fabric needed = (2/3) * 8

Now, perform the calculation:

Total fabric needed = 16/3 yards

To write the answer in simplest form, we can simplify the fraction:

Total fabric needed = 5 1/3 yards

Therefore, Amy will need 5 1/3 yards of fabric in order to make 8 pillows. This represents the total amount of fabric required for all 8 pillows, considering she uses 2/3 of a yard for each pillow.

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Half of -2 3/8 as a fraction

Answers

The half of the mixed fraction -2 3/8 as a fraction is -19/16.

A mixed fraction is a combination of a whole number and a proper fraction. It represents a quantity that is greater than one, with a fractional part that is less than the whole. For example, 2 3/4 is a mixed fraction, where 2 is the whole number and 3/4 is the proper fraction part. It is commonly used to express measurements, such as in cooking or in everyday life situations.

To find half of a mixed number like -2 3/8, we need to convert it to an improper fraction first.

The mixed number -2 3/8 can be written as an improper fraction as follows:

-2 3/8 = -((2 * 8) + 3)/8 = -19/8

Now, to find half of -19/8, we divide it by 2:

(-19/8) ÷ 2 = -19/16

Therefore, half of -2 3/8 as a fraction is -19/16.

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the answer would be -19/8

Round 76912 to nearest ten thousand