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3 months ago

How do I use an area model to explain the product of 4.6 and 3?

Mathematics

2 answers:

PIT_PIT [12.4K]3 months ago

7 0

We understand that

The area model serves as a visual representation for

multiplication. In this model, the length and width of a rectangle

correspond to the factors, while the area represents their product.

in this scenario

the factors are

$length 4.6 \\ wide 3$

decompose the number $4.6$

$4.6=(4+0.6)$

$Area of rectangle=Area rectangle 1+Area rectangle 2\\=(4+0.6)*3\\ =4*3+0.6*3\\ =12+1.8\\ =13.8$

refer to the attached figure for clearer understanding

therefore

the conclusion is

the multiplication result of $4.6$ and $3$ yields $13.8$

AnnZ [12.3K]3 months ago

4 0

<span>The area model simplifies understanding the given problem. To do this, we start by breaking down the numbers.
We have values of 4.6 and 3.

First, let's consider the whole numbers for multiplication:
Whole number of 4.6 => 4
whole number of 3 => 3

Next, we multiply the whole numbers:
=> 4 x 3
=> 12
Then we compute the decimal portion:
=>.6 x 3
=> 1.8
Finally, add them together:
=> 12 + 1.8
= 13.8</span>

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Betsy can clean a b of the house in an hour. How long will it take her to clean the whole house?

AnnZ [12381]

To determine the total time taken for house cleaning is necessary. Given that Betsy cleans a portion of the house, which takes her 1 hour, we want to find out how long it takes her to clean the entire house. By applying the unitary method, we see that if she cleans part of the house in 1 hour, we can calculate the time required for 1 whole house.

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2 months ago

Problem Select three ratios that are equivalent to 11:111:111, colon, 1. Choose 3 answers: Choose 3 answers: (Choice A) A 1:111:

Inessa [12570]

Answer:

(Choice B) B 22:222:222, colon, 2

(Choice C) C 55:555:555, colon, 5

(Choice D) D 99:999:999, colon, 99

Step-by-step explanation:

Three ratios that correspond to 11:111:111

(Choice A) A 1:111:111, colon, 11

By dividing by 1

= 1: 111: 111

(Choice B) B 22:222:222, colon, 2

Dividing by 2

= 11: 111: 111

(Choice C) C 55:555:555, colon, 5

Dividing by 5

= 11: 111: 111

(Choice D) D 99:999:999, colon, 99

Dividing by 9

= 11: 111: 111

(Choice E) E 110:10110:10

Dividing by 10

11: 1011: 1

The corresponding ratios are:

(Choice B) B 22:222:222, colon, 2

(Choice C) C 55:555:555, colon, 5

(Choice D) D 99:999:999, colon, 99

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2 months ago

An average person in the country needs 2,450 kilocalories / day of food to meet their full nutritional needs. The average number

tester [12383]

Answer:

Area of land = 0.056 hectares

Detailed explanation: Knowing that

A typical person in the country requires 2,450 kilocalories each day. This means

An individual consumes 2450 kilocalories daily

The average kcal produced per hectare (ha) from the available food in the nation is 15,737,000 kcal/ha.

Thus, in one day, for one individual, we have

15737000 = 2450/hec

Hectare = 2450/15737000

Hectare = 1.5568 × 10 -4

The total land area required to provide sufficient kilocalories for a single person for one year in this developing country will be

Calculated hectare × 365.25

Hectare = 1.5568 × 10 -4 × 365.25

Area of land = 0.056 hectares

7 0

3 months ago