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shepuryov [24]
3 years ago
6

The product 5 ⋅ 5 ⋅ 7 ⋅ 7 ⋅ 7 can be written using exponential notation as 5 2 ⋅ 7 3 or using decimal notation as 8575 (the valu

e of this product is 8575). Rewrite each of the following products using both exponential and decimal notation. 3 ⋅ 8 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 8 Exponential notation: Decimal Notation: 7 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 6 ⋅ 3 Exponential notation: Decimal Notation:
Mathematics
1 answer:
Lapatulllka [165]3 years ago
8 0

Answer:

Step-by-step explanation:

As 5 ⋅ 5 ⋅ 7 ⋅ 7 ⋅ 7 = 5² ⋅ 7³ = 8575

Exponential notation: 5² ⋅ 7³

Decimal Notation: 8575

i) 3 ⋅ 8 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 8  = 3 . 7³ . 8² = 65856

Exponential notation: 3 . 7³ . 8²

Decimal Notation: 65856

ii) 7 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 6 ⋅ 3 = 3 . 6 . 7⁴ = 43218

Exponential notation: 3 . 6 . 7⁴

Decimal Notation: 43218

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The distance between two points is the number of units between them.

<u>Halfway points (a) and (b)</u>

To locate a point halfway points (a) and (b), we use the following steps

  • Calculate the absolute difference between both points
  • Divide the absolute difference by 2
  • Add the quotient to the smaller point.

Assume the smaller value is (a), the point (P) halfway points (a) and (b) would be

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Take for instance, a = 5, and b = 10.

The halfway point would be:

P = 5 + \frac{|5 - 10|}{2}

P = 5 + \frac{5}{2}

P = 5 + 2.5

P = 7.5

The halfway point between 5 and 10 is 7.5

The formula works for negative values, and absolute values are used to return the actual difference between both points

<u>Real world circumstance</u>

The formula can be used to calculate the halfway distance between a school gate and the school library (as an instance)

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To determine the fractional distance, we simply replace the 1/2 in the original formula with the appropriate fraction.

Take for instance, three-fourths from (a) to (b) would be:

P = a + \frac{3|a - b|}{4}

Read more about distance at:

brainly.com/question/9935574

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3 years ago
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Step-by-step explanation:

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