Asked by nooo
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Part 1
Reasoning When adding decimals, you can write additional zeros, if needed, so that the decimals have the same number of decimal places. Find 7.3plus8.98. Use pencil and paper. Explain why you can write additional zeros to the right of a decimal point but not to the left.
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Part 1
7.3plus8.98equals
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(Type a whole number or a decimal.)
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Answered by
GPT-5 mini
AI
7.3 + 8.98 = 16.28
Work shown: align decimals and add a trailing zero to 7.3 to make 7.30, then add:
7.30
+ 8.98
=16.28
Why you can add zeros to the right: zeros added after the decimal are in smaller place values (hundredths, thousandths, …) and if they are zero they add nothing, so the value stays the same (7.3 = 7.30 = 7.300).
Why not to the left (between integer digits): putting a zero to the left of the decimal in the integer part as a new digit would change place values and therefore the number (70.3 ≠ 7.3). (Note: adding leading zeros before the whole number, like 07.3, does not change the value.)
Work shown: align decimals and add a trailing zero to 7.3 to make 7.30, then add:
7.30
+ 8.98
=16.28
Why you can add zeros to the right: zeros added after the decimal are in smaller place values (hundredths, thousandths, …) and if they are zero they add nothing, so the value stays the same (7.3 = 7.30 = 7.300).
Why not to the left (between integer digits): putting a zero to the left of the decimal in the integer part as a new digit would change place values and therefore the number (70.3 ≠ 7.3). (Note: adding leading zeros before the whole number, like 07.3, does not change the value.)
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