Decimal Expansions Quick Check
Math 8 Q1 (Pre-Algebra) / The Number System
What is the expanded form of 285?(1 point)
Responses
(2×100)+(8×10)
left parenthesis 2 times 100 right parenthesis plus left parenthesis 8 times 10 right parenthesis
(5×100)+(8×10)+(2×1)
left parenthesis 5 times 100 right parenthesis plus left parenthesis 8 times 10 right parenthesis plus left parenthesis 2 times 1 right parenthesis
(2×100)+(8×10)+(5×1)
left parenthesis 2 times 100 right parenthesis plus left parenthesis 8 times 10 right parenthesis plus left parenthesis 5 times 1 right parenthesis
(8×10)+(2×1)
left parenthesis 8 times 10 right parenthesis plus left parenthesis 2 times 1 right parenthesis
(2×100)+(8×10)+(5×1)
left parenthesis 2 times 100 right parenthesis plus left parenthesis 8 times 10 right parenthesis plus left parenthesis 5 times 1 right parenthesis
Write 1,976 in expanded form.(1 point)
Responses
(9×1,000)+(1×100)+(7×10)+(6×1)
left parenthesis 9 times 1,000 right parenthesis plus left parenthesis 1 times 100 right parenthesis plus left parenthesis 7 times 10 right parenthesis plus left parenthesis 6 times 1 right parenthesis
(1×100)+(9×100)+(7×10)+(6×1)
left parenthesis 1 times 100 right parenthesis plus left parenthesis 9 times 100 right parenthesis plus left parenthesis 7 times 10 right parenthesis plus left parenthesis 6 times 1 right parenthesis
(1×1,000)+(9×100)+(7×10)+(6×1)
left parenthesis 1 times 1,000 right parenthesis plus left parenthesis 9 times 100 right parenthesis plus left parenthesis 7 times 10 right parenthesis plus left parenthesis 6 times 1 right parenthesis
(9×1,000)+(1×100)+(6×10)+(7×1)
left parenthesis 9 times 1,000 right parenthesis plus left parenthesis 1 times 100 right parenthesis plus left parenthesis 6 times 10 right parenthesis plus left parenthesis 7 times 1 right parenthesis
(1×1,000)+(9×100)+(7×10)+(6×1)
left parenthesis 1 times 1,000 right parenthesis plus left parenthesis 9 times 100 right parenthesis plus left parenthesis 7 times 10 right parenthesis plus left parenthesis 6 times 1 right parenthesis
What is the expanded form of 23.75?(1 point)
Responses
(2×10)+(3×1)+(7×1101)+(5×1102)
left parenthesis 2 times 10 right parenthesis plus left parenthesis 3 times 1 right parenthesis plus left parenthesis 7 times Start Fraction 1 over 10 superscript 1 baseline End Fraction right parenthesis plus left parenthesis 5 times Start Fraction 1 over 10 squared End Fraction right parenthesis
(2×10)+(3×1)+(7×110)+(5×1100)
left parenthesis 2 times 10 right parenthesis plus left parenthesis 3 times 1 right parenthesis plus left parenthesis 7 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 5 times Start Fraction 1 over 100 End Fraction right parenthesis
(2×10)+(3×1)+(5×110)+(7×1100)
left parenthesis 2 times 10 right parenthesis plus left parenthesis 3 times 1 right parenthesis plus left parenthesis 5 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 7 times Start Fraction 1 over 100 End Fraction right parenthesis
(5×10)+(7×1)+(3×110)+(2×1100)
left parenthesis 5 times 10 right parenthesis plus left parenthesis 7 times 1 right parenthesis plus left parenthesis 3 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 2 times Start Fraction 1 over 100 End Fraction right parenthesis
(2×10)+(3×1)+(7×110)+(5×1100)
left parenthesis 2 times 10 right parenthesis plus left parenthesis 3 times 1 right parenthesis plus left parenthesis 7 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 5 times Start Fraction 1 over 100 End Fraction right parenthesis
Decimal Expansions Quick Check
Math 8 Q1 (Pre-Algebra) / The Number System
Write the expanded form of 357.25(1 point)
Responses
(3×100)+(5×10)+(7×1)+(5×110)+(2×1100)
left parenthesis 3 times 100 right parenthesis plus left parenthesis 5 times 10 right parenthesis plus left parenthesis 7 times 1 right parenthesis plus left parenthesis 5 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 2 times Start Fraction 1 over 100 End Fraction right parenthesis
(3×100)+(5×10)+(7×1)+(2×110)+(5×11,000)
left parenthesis 3 times 100 right parenthesis plus left parenthesis 5 times 10 right parenthesis plus left parenthesis 7 times 1 right parenthesis plus left parenthesis 2 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 5 times Start Fraction 1 over 1,000 End Fraction right parenthesis
(3×100)+(5×10)+(7×1)+(2×110)+(5×1100)
left parenthesis 3 times 100 right parenthesis plus left parenthesis 5 times 10 right parenthesis plus left parenthesis 7 times 1 right parenthesis plus left parenthesis 2 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 5 times Start Fraction 1 over 100 End Fraction right parenthesis
(3×100)+(5×10)+(7×1)+(2×1100)
(3×100)+(5×10)+(7×1)+(2×110)+(5×1100)
left parenthesis 3 times 100 right parenthesis plus left parenthesis 5 times 10 right parenthesis plus left parenthesis 7 times 1 right parenthesis plus left parenthesis 2 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 5 times Start Fraction 1 over 100 End Fraction right parenthesis
Decimal Expansions Quick Check
Math 8 Q1 (Pre-Algebra) / The Number System
What is the expanded form of 8,471.716?(1 point)
Responses
(8×1,000)+(4×100)+(7×10)+(1×1)+(7×11)+(1×110)+(6×1100)
left parenthesis 8 times 1,000 right parenthesis plus left parenthesis 4 times 100 right parenthesis plus left parenthesis 7 times 10 right parenthesis plus left parenthesis 1 times 1 right parenthesis plus left parenthesis 7 times Start Fraction 1 over 1 End Fraction right parenthesis plus left parenthesis 1 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 6 times Start Fraction 1 over 100 End Fraction right parenthesis
(8×103)+(4×102)+(7×101)+(1×100)+(7×1101)+(1×1102)+(6×1103)
left parenthesis 8 times 10 cubed right parenthesis plus left parenthesis 4 times 10 squared right parenthesis plus left parenthesis 7 times 10 superscript 1 baseline right parenthesis plus left parenthesis 1 times 10 superscript 0 baseline right parenthesis plus left parenthesis 7 times Start Fraction 1 over 10 superscript 1 baseline End Fraction right parenthesis plus left parenthesis 1 times Start Fraction 1 over 10 squared End Fraction right parenthesis plus left parenthesis 6 times Start Fraction 1 over 10 cubed End Fraction right parenthesis
(8×1,000)+(4×100)+(7×10)+(1×1)+(7×110)+(1×1100)
left parenthesis 8 times 1,000 right parenthesis plus left parenthesis 4 times 100 right parenthesis plus left parenthesis 7 times 10 right parenthesis plus left parenthesis 1 times 1 right parenthesis plus left parenthesis 7 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 1 times Start Fraction 1 over 100 End Fraction right parenthesis
(8×1,000)+(4×100)+(7×10)+(1×1)+(7×110)+(1×1100)+(6×11,000)
left parenthesis 8 times 1,000 right parenthesis plus left parenthesis 4 times 100 right parenthesis plus left parenthesis 7 times 10 right parenthesis plus left parenthesis 1 times 1 right parenthesis plus left parenthesis 7 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 1 times Start Fraction 1 over 100 End Fraction right parenthesis plus left parenthesis 6 times Start Fraction 1 over 1,000 End Fraction right parenthesis
(8×1,000)+(4×100)+(7×10)+(1×1)+(7×110)+(1×1100)
left parenthesis 8 times 1,000 right parenthesis plus left parenthesis 4 times 100 right parenthesis plus left parenthesis 7 times 10 right parenthesis plus left parenthesis 1 times 1 right parenthesis plus left parenthesis 7 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 1 times Start Fraction 1 over 100 End Fraction right parenthesis plus left parenthesis 6 times Start Fraction 1 over 1,000 End Fraction right parenthesis
To find the expanded form of a number, you need to break it down into its place value components. In this case, the number is 285.
The expanded form of 285 can be found by multiplying each digit by its corresponding place value and then adding them together.
In this case, we have:
- The digit 2 in the hundreds place, which has a place value of 100.
- The digit 8 in the tens place, which has a place value of 10.
- The digit 5 in the ones place, which has a place value of 1.
So, to find the expanded form of 285, we multiply each digit by its corresponding place value and then add them together:
(2×100) + (8×10) + (5×1) = 200 + 80 + 5 = 285
Therefore, the expanded form of 285 is (2×100) + (8×10) + (5×1).