Question

Select all the partial products for 2.5 × 1.7. 2.0 × 1.0 = 2.00 2.0 × 0.5 = 1.00 0.5 × 1.0 = 0.50 1.0 × 0.7 = 0.70 2.0 × 0.7 = 1.40 0.5 × 0.7 = 0.35 Part B What is 2.5 × 1.7? Enter your answer in the box. 2.5 × 1.7 =

Answer 1

The partial products of 2.5 × 1.7 are  

2.0 × 1.0 = 2.00

2.0 × 0.7 = 1.40

0.5 × 1.0 = 0.5

0.5 × 0.7 = 0.35

Since we require the product 2.5 × 1.7.

Separating each number into partial sums, 2.5 = 2.0 + 0.5 and 1.7 = 1.0 + 0.7

So, 2.5 × 1.7 = (2.0 + 0.5) × (1.0 + 0.7)

= 2.0 × 1.0 + 2.0 × 0.7 + 0.5 × 1.0 + 0.5 × 0.7

= 2.00 + 1.40 + 0.5 + 0.35

The partial products of 2.5 × 1.7 are  

2.0 × 1.0 = 2.00

2.0 × 0.7 = 1.40

0.5 × 1.0 = 0.5

0.5 × 0.7 = 0.35

b.

The product 2.5 × 1.7 = 4.25

The product 2.5 × 1.7 = 2.0 × 1.0 + 2.0 × 0.7 + 0.5 × 1.0 + 0.5 × 0.7

= 2.00 + 1.40 + 0.5 + 0.35

= 4.25

So, 2.5 × 1.7 = 4.25

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