Question

Estimate the product. 17 × 1.68​

Answer 1

≈ 34

Explanation:

The estimate value of 1.68,

→ 17 ≈ 17

→ 1.68 ≈ 2

Then the estimated product is,

→ 17 × 1.68

→ 17 × 2 = 34

Therefore, the product is 34.

Answer 2

34

Explanation:

When estimating the product of an integer and a decimal, first round the decimal to its nearest whole number.

• If the digit in the tenth place is less than 5, round down to the nearest whole number.
• If the digit in the tenth place is 5 or more, round up to the nearest whole number.

Therefore,

• 1.68 ≈ 2

So an estimate of the product is:

`\implies 17 * 1.68 \approx 17 * 2`

Partition 17 into tens and units:

`\implies17 * 2= (10+7) * 2`

Apply the distributive property of multiplication over addition:

`\begin{aligned}\implies (10+7) * 2&=(10 * 2)+(7 * 2)\\&=20+14\\&=34\end{aligned}`

Therefore:

`\boxed{17 * 1.68 \approx 34}`