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Start with the equation 4·0=0
to explain why 4·−10
must equal −40
. Drag descriptions and equations to the table to complete the explanation.

Start with the equation 400 to explain why 410 must equal 40 Drag descriptions and equations to the table to complete the explanation class=

Respuesta :

cerverusdante
Step 1 Given. The problem is telling us to start with the equation 4·0=0

Step 2 Substitute. Any number plus its opposite is zero. Since the opposite of 10 is -10, 10+(-10)= 0:  4(10+-10)=0

Step 3 Use the distributive property. In other words multiply 4 by 10 and 4 by -10: 4·10+4·-10=0

Step 4 Multiply. perform the first multiplication of step 3: 4·10=40, so: 40+4·-10=0

Step 5 Subtract 40 from both sides. 40-40+4·-10=0-40; simplify the left side: 0+4·-10=0-40 
4·-10=0-40

Step 5 Simplify to solve for 4·-10. Simplify the right side: 4·-10=-40

We can conclude that you should fill your table as follows:
Step 1 Given.  4·0=0
Step 2 Substitute. Any number plus its opposite is zero.   4(10+-10)=0
Step 3 Use the distributive property.    4·10+4·-10=0
Step 4 Multiply. 40+4·-10=0
Step 5 Subtract 40 from both sides.    4·-10=0-40
Step 5 Simplify to solve for 4·-10.        4·-10=-40
joseph7177

Answer:

Step 1 Given.  4·0=0

Step 2 Substitute. Any number plus its opposite is zero.   4(10+-10)=0

Step 3 Use the distributive property.    4·10+4·-10=0

Step 4 Multiply. 40+4·-10=0

Step 5 Subtract 40 from both sides.    4·-10=0-40

Step 5 Simplify to solve for 4·-10.        4·-10=-40

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