High School

Pick the expression with the better compatible numbers to estimate [tex]$193 \div 4$[/tex].

A. [tex]$200 \div 4$[/tex]
B. [tex]$160 \div 4$[/tex]

Now, use the expression you picked to estimate the quotient.

[tex]$193 \div 4$[/tex] is about ________.

Answer :

To estimate [tex]\(193 \div 4\)[/tex], we need to choose the expression with numbers closer to 193 that still allow easy computation. We have two options:

1. [tex]\(200 \div 4\)[/tex]
2. [tex]\(160 \div 4\)[/tex]

Let's determine which is a better estimate:

- Step 1: Compare 193 to 200 and 160.
- 193 is closer to 200 than to 160. This makes [tex]\(200 \div 4\)[/tex] a better choice for the estimate.

- Step 2: Calculate using the chosen compatible numbers.
- [tex]\(200 \div 4 = 50\)[/tex]

So, using the chosen expression [tex]\(200 \div 4\)[/tex], we estimate that [tex]\(193 \div 4\)[/tex] is about 50.

In conclusion, the expression with better compatible numbers is [tex]\(200 \div 4\)[/tex], and the estimated quotient for [tex]\(193 \div 4\)[/tex] is approximately 50.

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