Calculate 16.8 divided by 0.35 to the hundredths place without a calculator. Show your work.b. Describe the standard procedure f
or 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
2 answers:
Answer:
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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