QQuestionMathematics
QuestionMathematics
Write the following numbers in expanded form:
689.435
24.17
36.9
1.824
709.63
8.6
Write the following expressions in standard form:
200 + 10 + 6 + 0.3
4 + 0.9 + 0.008
50 + 2 + 0.6
900 + 30 + 7 + 0.2 + 0.01
80 + 8 + 0.1 + 0.05
300 + 70 + 3 + 0.08 + 0.009
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Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Expanded Form:
Step 2:: 689.435
689.435 = 600 + 80 + 9 + 0.4 + 0.03 + 0.005
Step 3:: 24.17
24.17 = 20 + 4 + 0.1 + 0.07
Step 4:: 36.9
36.9 = 30 + 6 + 0.9
Step 5:: 1.824
1.824 = 1 + 0.8 + 0.02 + 0.004
Step 6:: 709.63
709.63 = 700 + 9 + 0.6 + 0.03
Step 7:: 8.6
8.6 = 8 + 0.6
Standard Form:
Step 8:: 200 + 10 + 6 + 0.3
200 + 10 + 6 + 0.3 = 216.3
Step 9:: 4 + 0.9 + 0.008
4 + 0.9 + 0.008 = 4.908
Step 10:: 50 + 2 + 0.6
50 + 2 + 0.6 = 52.6
Step 11:: 900 + 30 + 7 + 0.2 + 0.01
900 + 30 + 7 + 0.2 + 0.01 = 937.21
Step 12:: 80 + 8 + 0.1 + 0.05
80 + 8 + 0.1 + 0.05 = 88.15
Step 13:: 300 + 70 + 3 + 0.08 + 0.009
300 + 70 + 3 + 0.08 + 0.009 = 373.089
Final Answer
Expanded Form: - 689.435 = 600 + 80 + 9 + 0.4 + 0.03 + 0.005 - 24.17 = 20 + 4 + 0.1 + 0.07 - 36.9 = 30 + 6 + 0.9 - 1.824 = 1 + 0.8 + 0.02 + 0.004 - 709.63 = 700 + 9 + 0.6 + 0.03 - 8.6 = 8 + 0.6 Standard Form: - 200 + 10 + 6 + 0.3 = 216.3 - 4 + 0.9 + 0.008 = 4.908 - 50 + 2 + 0.6 = 52.6 - 900 + 30 + 7 + 0.2 + 0.01 = 937.21 - 80 + 8 + 0.1 + 0.05 = 88.15 - 300 + 70 + 3 + 0.08 + 0.009 = 373.089
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