Mathematics: The following equations involve different quantities and use different operations, yet produce the same result. use a place value chart and words to explain why this is true.

The following equations involve different quantities

Ответ:

hgfgu829

15.01.2022

Mathematics

Answer with Step-by-step explanation:

We are given that two expression in which different operations are used.

$4.13\times 10^3=4130$

and $413000\div 10^2=4130$

We are given that using different operation and quantities yet produce same result.

We have to explain why this is true using pl;ace value chart.

Place value of 4 in 4.13=4

Place value of 1 in 4.13= $\frac{1}{10}$

place value of 3 in 4.13= $\frac{1}{100}$

Place value of 4 in 413000=400000

Place value of 1 in 413000=10000

Place value of 3 in 413000=3000

$4.13=4+1\times 10^{-1}+3\times 10^{-2}$

$413000=4\times 10^5+1\times 10^4+3\times 10^3$

$(4+1\times 10^{-1}+3\times 10^{-2})\times 10^3=4000+100+30=4130$

$(4\times 10^5+1\times 10^4+3\times 10^3)\div 10^2=4000+100+30=4130$

10^3=1000

10^2=100

When we remove decimal point in 4.13 then we write 100 in denominator and multiply with 1000 then the 100 in denominator cancel out with two zeroes of 1000.Then 10 remain in multiply then multiply 10 with 413 and get 4130.

When 413000 divided by 100 then two zeroes of 100 cancel out with two zeroes of 413000 and then 4130 remain.

Therefore, both results true.

0,0(0 оценок)

The following equations involve different quantities and use different operations, yet produce the same result. use a place value chart and words to explain why this is true.

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question