The weight of an elephant is 5400 kg. Write the weight of the elephant in grams. 5400 kg = __________ grams. The weight of a mouse is 19 grams. Write the correct figure from the following list into the sentence below. Show your working out. The weight of the elephant is roughly __________ times the weight of the mouse. Fill in the table below to show each number in the form 10^n, where n ∈ N. Number Number in the form 10^n 100 __________ 10 000 __________ 10^3 x 10^9 __________ 10 __________ Write 5400 in the form α x 10^n, where 1 ≤ α < 10 and n ∈ N.

Junior Cycle Mathematics Indices: The weight of an elephant is 540

The weight of an elephant is 5400 kg - Junior Cycle Mathematics - Question 10 - 2019

Question 10

The weight of an elephant is 5400 kg. Write the weight of the elephant in grams. 5400 kg = __________ grams. The weight of a mouse is 19 grams. Write the correct f... show full transcript

Worked Solution & Example Answer:The weight of an elephant is 5400 kg - Junior Cycle Mathematics - Question 10 - 2019

Step 1

The weight of the elephant in grams

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Answer

To convert kilograms to grams, we multiply by 1000.

Therefore,

$5400 ext{ kg} = 5400 imes 1000 = 5400000 ext{ grams}.$

Step 2

The weight of the elephant is roughly __________ times the weight of the mouse

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Answer

We can find how many times the weight of the elephant is compared to the weight of the mouse by dividing their weights:

$rac{5400000 ext{ grams}}{19 ext{ grams}} ext{ gives us approximately } 284210.5263.$

Rounding this, we can say:

The weight of the elephant is roughly 300000 times the weight of the mouse.

Step 3

Number in the form 10^n for 100

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Answer

100 can be expressed as:

$10^2$ .

Step 4

Number in the form 10^n for 10 000

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Answer

10 000 can be expressed as:

$10^4$ .

Step 5

Number in the form 10^n for 10^3 x 10^9

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Answer

Using the property of exponents, this can be simplified to:

$10^{3+9} = 10^{12}.$ .

Step 6

Number in the form 10^n for 10

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Answer

10 can be expressed as:

$10^1$ .

Step 7

Write 5400 in the form α x 10^n

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Answer

To express 5400 in the required form, we shift the decimal point:

$5400 = 5.4 imes 10^3$ .

The weight of an elephant is 5400 kg - Junior Cycle Mathematics - Question 10 - 2019

Worked Solution & Example Answer:The weight of an elephant is 5400 kg - Junior Cycle Mathematics - Question 10 - 2019

The weight of the elephant in grams

The weight of the elephant is roughly __________ times the weight of the mouse

Number in the form 10^n for 100

Number in the form 10^n for 10 000

Number in the form 10^n for 10^3 x 10^9

Number in the form 10^n for 10

Write 5400 in the form α x 10^n

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