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Year 6 Arithmetic: Solve 8,999 ÷ 60
Mathematics
Year 6 (Primary School)
Question Content
8,999 ÷ 60 =
Correct Answer
149.983... (or 149 remainder 59, or 8999/60)
Detailed Solution Steps
1
Step 1: Rewrite the division as a fraction for clarity: 8999/60
2
Step 2: Divide 8999 by 60: 60 × 149 = 8940
3
Step 3: Calculate the remainder: 8999 - 8940 = 59
4
Step 4: To get a decimal result, add a decimal point and zeros to 8999 and continue dividing: 590 ÷ 60 = 9 with remainder 50, 500 ÷ 60 = 8 with remainder 20, 200 ÷ 60 = 3 with remainder 20, so the decimal repeats: 149.98333...
5
Step 5: The result can be written as a mixed number 149 59/60, a repeating decimal 149.983..., or stated as 149 remainder 59.
Knowledge Points Involved
1
Whole Number Division with Remainders and Decimals
This is dividing one whole number by another, which can result in a quotient with a remainder, a mixed number, or a decimal (terminating or repeating). When the division does not result in a whole number, we can extend the dividend with decimal places to get a decimal quotient. It is used for dividing quantities into equal groups, calculating unit rates, etc.
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