Decimal place value

Question 1

Which of the following shows the correct expanded‑form calculation for 3.47 × 5?

Accepted Answer

(3 + 0.4 + 0.07) × 5 = 15 + 2 + 0.35 = 17.35

Answer

(3 + 0.4 + 0.07) × 5 = 3×5 + 0.4×5 + 0.07 = 15 + 2 + 0.07 = 17.07

Answer

(3 + 0.4 + 0.07) × 5 = 3×5 + 0.4 + 0.07×5 = 15 + 0.4 + 0.35 = 15.75

Answer

(3 + 0.4 + 0.07) × 5 = 15 + 2 + 0.7 = 17.7

Question 2

To solve 3.47 × 6 using an area‑model or expanded form, which of the following correctly breaks the decimal into its place‑value parts before multiplying?

Accepted Answer

(3 + 0.4 + 0.07) × 6 = 3×6 + 0.4×6 + 0.07×6

Answer

(3 + 0.04 + 0.7) × 6

Answer

(30 + 4.7) × 6

Answer

(3 + 0.47) × 6

Question 3

Lila buys 3.74 meters of ribbon for a craft project. If the ribbon costs 3.74 per meter, how much will she pay for 6 meters?

Accepted Answer

22.44

Answer

224.4

Answer

2244

Answer

2.244

Try three questions

Which of the following shows the correct expanded‑form calculation for 3.47 × 5?

To solve 3.47 × 6 using an area‑model or expanded form, which of the following correctly breaks the decimal into its place‑value parts before multiplying?

Lila buys 3.74 meters of ribbon for a craft project. If the ribbon costs $3.74 per meter, how much will she pay for 6 meters?

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