Two more than half a number ? <br><br> *Algebraic expression*

Consider the following operations on the number 8.82 x 10^-2. Without using a calculator, decide which would give a significantl

Ksenya-84 [330]

Correct question is;

Consider the following operations on the number 8.85 x 10^(-2). Without using a calculator, decide which would give a significantly smaller value than 8.85 x 10^(-2), which would give a significantly larger value, or which would give essentially the same value.

A) 8.85 × 10^(-2) + 6.69 × 10^(5)

B) 8.85 x 10^(-2) - 6.69 x 10^(5)

C) 8.85 x 10^(-2) x 6.69 x 10^(5)

D) 8.85 × 10^(-2) ÷ 6.69 × 10^(5)

Answer:

Option A & B yield essentially the same value.

Option C yields a significantly smaller value

Option D yields a significantly larger value

Step-by-step explanation:

Since given value for the operations is in 10^(-2) indices, then let's convert the operations numbers from 10^(5) indices to 10^(-2).

Thus;

6.69 × 10^(5) = (6.69 × 10^(-7)) × 10^(-2)

Thus;

A) 8.85 × 10^(-2) + 6.69 × 10^(5) is now;

8.85 × 10^(-2) + ((6.69 × 10^(-7)) × 10^(-2))

This gives;

[8.85 + (6.69 × 10^(-7))] × 10^(-2)

The 10^(-7) indices indicates that the initial value of 8.85 × 10^(-2) would not change much and would essentially be the same

B) 8.85 x 10^(-2) - 6.69 x 10^(5) is now;

8.85 × 10^(-2) - ((6.69 × 10^(-7)) × 10^(-2))

This gives;

[8.85 - (6.69 × 10^(-7))] × 10^(-2)

Again the 10^(-7) indices indicates that the initial value of 8.85 × 10^(-2) would not change much and would essentially be the same.

C) 8.85 x 10^(-2) x 6.69 x 10^(5) is now;

(8.85 × 10^(-2)) × ((6.69 × 10^(-7)) × 10^(-2))

This gives;

[8.85 × (6.69 × 10^(-7))] × 10^(-2)

When we multiply 8.85 by 6.69 × 10^(-7), the value gotten will be way lower than the initial value of 8.85.

Thus,this operation will give a significantly smaller value.

D) (8.85 × 10-2) ÷ (6.69 × 10^5) is now;

(8.85 × 10^(-2)) ÷ ((6.69 × 10^(-7)) × 10^(-2))

This gives;

[8.85 ÷ (6.69 × 10^(-7))] × 10^(-2)

When we carry out the operation:

8.85 ÷ (6.69 × 10^(-7)), it is essentially equal to (8.85 × 10^(7))/6.69.

This means that the new value would be significantly larger than the initial value of 8.85.

Thus,this operation yields a significantly larger value.

4 0

3 years ago

Using your answer from #3, how many hours will

Sphinxa [80]

Answer:

5 hours cuz 75 divided by 15 is 5 or 15 x 5 is 75

3 0

3 years ago

Read 2 more answers

Help me on this please

Scorpion4ik [409]

Yes

Step-by-step explanation: because The triangle has a 90 degree shape so it’s right

7 0

3 years ago

Read 2 more answers

Jenna uses 18 inches of ribbion for each box she wraps how many yards of rib ion does she need to wrap 4 boxes

Sav [38]

Hello Myeisha91!

First we need to find how many inches in total to wrap 4 boxes. We do that by multiplying 18 x 4 = 72 so Jena needs 72 inches. The question wants to know how many yards so we need to convert 72 inches into yards. We can convert inches to yards by using a conversion factor. We know that 1 inch = 0.0277778 yd. Now that we know 1 inch = 0.0277778 yd, lets convert the 72 inches to yards.

We convert 72 in to yards by multiplying 72 in by $\frac{0.0277778\;yd}{1\; in}$
$72\;in\times\frac{0.0277778\; yd}{1\;in} = 2\; yd$
So Jenna will need 2 yards to wrap 4 boxes.

6 0

3 years ago

Determine if each of the numbers below is a solution to the inequality 3x-2<2-2x. SHOW ALL OF YOUR WORK

rodikova [14]

Answer:

b, c, and d are solutions

Step-by-step explanation:

3x - 2 < 2 - 2x

5x - 2 < 2

5x < 4

x < 4/5

b) 1/2 < 4/5 true

c) -3 < 4/5 true

d) 2/3 < 4/5 true

7 0

3 years ago

Two more than half a number ? *Algebraic expression*

Two more than half a number ? Algebraic expression