Natalia divided a decimal number by an entire number. Since division is a operation derived from multiplication, the best approach to check if work was good is multiplying the given result by denomination, that is:

1) $x = 6.2\times 12$ Given.

2) $x = \left(6+0.2\right)\times 12$ Definition of addition.

3) $x = 6\times 12 + 0.2\times 12$ Distributive property.

4) $x = 72 + \frac{2}{10}\times 12$ Definitions of multiplication and decimal number.

5) $x = 72 +[2\cdot (10)^{-1}]\cdot 12$ Definition of division/Associative property.

6) $x = 72 + [2\cdot 12]\cdot (10)^{-1}$ Associative property.

7) $x = 72 + 24\cdot 10^{-1}$ Definition of multiplication.

8) $x = 72 + \frac{24}{10}$ Definition of divsion.

9) $x = 72 + 2.4$ Defintion of decimal number.

10) $x = 74.4$ Definition of addition/Result

Natalia's work is wrong.

5 0

2 years ago

Ten more than 6 times a number is 4 less than 4 times the number. Please help me!!

Y_Kistochka [10]

10+6x=4x-4
6x-4x=-4-10
2x=-14
x-7
10=6(-7)=-32
4(-7)-4=-32
=-32

6 0

3 years ago

Megan is making quilts that require 11 feet of cloth each. She has 50 feet of cloth. What are the possible numbers of quilts tha

goldenfox [79]

Answer:

Step-by-step explanation:

Because the fact the quits are ll feet there are 6 feet left over but that can not make 11 feet quilt

5 0

3 years ago

What are three complex fractions that all simplify to one fourth

Margaret [11]

These could be some possible amswers:2/8, 8,32, 3/12

5 0

2 years ago