What is the value of k in the product of powers below? 10 Superscript negative 3 Baseline times 10 times 10 Superscript k Baseli
2 answers:
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Answer:
A) See attached.
B) Cheryl owes the bank more.
Step-by-step explanation:
Given account balances:
- John: -$2.75
- Cheryl: -$3.00
- Andrew: $2.75
(Andrew has as much savings in his account as the amount John owes).
<h3><u>Part A</u></h3>- Draw a straight, horizontal line with arrows on both ends.
- Place a tick in the center of the line and label it zero.
- Draw 4 evenly spaced ticks either side of the zero.
- Number the ticks to the right of the zero 1, 2, 3 and 4.
- Number the ticks to the left of the zero -1, -2, -3, and -4.
- Mark -2.75, -3 and 2.75 on the number line.
- Label the marks with John, Cheryl and Andrew.
(See attached number line).
<h3><u>Part B</u></h3>The <u>absolute value</u> of a number is its <u>positive numerical value</u>.
To calculate how much John and Cheryl owe the bank, take the absolute values of their account balances:
- John: |-2.75| = 2.75
- Cheryl: |-3.00| = 3.00
As 3.00 > 2.75, Cheryl owes the bank more.
Answer:
Raul's errors are in the application of the distributive property(he applied it wrongly), in not respecting the precedence of operations, and in the multiplication of two terms with the same base(we add the exponent).
Step-by-step explanation:
Distributive property:
The distributive property of multiplication is:
a*(b + c) = a*b + a*c
Precedence of operations:
First multiplication, then addition.
Multiplication of terms with the same base:
The multiplication of h*h = h², which Raul missed.
The correct simplification is given by: