When multiplying 1,729 times 308, does Clayton got a product of 53,253. Without calculating, does his product seem reasonable? Explain your thinking

Respuesta :

nope if you round the first number to 2000 and the second to 300 you should expect around 600000 which is not the case.

It is not reasonable, because if we estimate by rounding each factor and multiplying the result. It would be higher than 53,253

Further explanation

When we estimate a calculation we can rounding each factor. In this case would be:

1,729 rounding to 2000

308 rounding to 300

2000 x 300 = 600,000

which is higher than 53,253. So if we multipy the exact number the result would be higher.

to get the precise result, we can use the area model

[tex]=\boxed {1729 \times308\ }\\ =\boxed{(1000+7000+20+9) \times(300+8)\ }[/tex]

[tex]=\boxed{\(300000+210000+6000+2700+8000+5600+160+72)\ }\\ =\boxed {532532\ }[/tex]

Learn more

Standard algorithm model https://brainly.com/question/1150215

Total money collected brainly.com/question/2298497

Alfalfa eaten by horses in a number of days brainly.com/question/848633

Keywords: multiplication, standard algorithm, area model, three digits multiplication, additional, estimate, rounding number

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