Estimate the quotient to the nearest tens. 163 – 14 (A) 10 (B) 16 (C) 20 (D) 18 ———-
The Correct Answer and Explanation is:
To solve the problem, we need to estimate the quotient of the expression:
163 ÷ 14,
and round the result to the nearest tens.
Step 1: Estimate the quotient
Let’s do the division:163÷14≈11.64163 ÷ 14 ≈ 11.64163÷14≈11.64
Step 2: Round to the nearest tens
Now, round 11.64 to the nearest tens.
- The number 11.64 is closer to 10 than to 20.
- So, rounding 11.64 to the nearest tens gives:
10\boxed{10}10
✅ Correct Answer: (A) 10
✏️ Explanation
To solve this type of problem, the goal is to estimate the quotient, which means we’re looking for an approximate result of division, not the exact one. In this case, the problem is asking us to estimate 163 ÷ 14 and round that result to the nearest tens.
We begin by recognizing that 163 is a three-digit number and 14 is a two-digit number. We ask ourselves: How many times does 14 fit into 163? An exact division gives us 163 ÷ 14 ≈ 11.64.
The next step is rounding this number to the nearest tens. When rounding to the nearest tens, we look at the ones digit (in this case, 1.64 has a tens part of 10 and a decimal part of 1.64). The number 11.64 is closer to 10 than to 20 on the number line. Here’s why:
- 10 is the nearest multiple of 10 below 11.64.
- 20 is the next multiple of 10 above.
- Since 11.64 is less than halfway between 10 and 20, we round it down to 10.
Estimation like this is especially useful in real-life situations when an exact number isn’t necessary, such as budgeting or planning. It helps you make quicker decisions without a calculator. Always remember that when estimating and rounding, focus on which multiple of ten the number is closest to.
Therefore, the correct answer is (A) 10.
