Calculate 16.8 divided by 0.35 to the hundredths place without a calculator. Show your work. b. Describe the standard procedure for deter-mining where to put the decimal point in the answer to 16.8 , 0.35.c. Explain in two different ways why the place-ment of the decimal point that you described in part (b) is valid

To calculate 16.8 ÷ 0.35 without a calculator, let's first move the decimal of both values 2 places to the right.

We now have 1680.00 ÷ 35.00

Therefore we have:

____48.00

35✓1680.00

___-140

_________

___280

___-280

________

____0

Let's now move 2 decimal places to the left.

Thus, 16.8÷0.35 = 48.00

b) The standard procedure:

You move the decimal places in both values 2 places to the right to make them whole numbers.

After dividing, the decimal place of the answer is then moved back 2 places to the left.

c) (i) Let's consider we multiply both values by 100.

= 1680÷35

We can see that the decimal we moved 2 places to the right is correct.

ii) We can express the values in dollars as $16.8÷ $0.35

We can also express in cents as (16.8*100) 1680 cents and (0.35*100) 35 cents.

Expressing as cents, the values become:

1680 ÷ 35.

Thus, moving the decimal two places to the right is correct

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