To determine which expression equals [tex]\( 53462 \div 14 \)[/tex], let’s calculate each given expression and compare the results with the value of [tex]\( 53462 \div 14 \)[/tex].
1. Calculate [tex]\( 53462 \div 14 \)[/tex]:
[tex]\[ 53462 \div 14 \approx 3818.714285714286 \][/tex]
2. Evaluate each given expression:
- Expression 1: [tex]\( 3810 \times 14 \times 12 \)[/tex]
[tex]\[ 3810 \times 14 \times 12 = 640080 \][/tex]
- Expression 2: [tex]\( 3818 \times 14 + 10 \)[/tex]
[tex]\[ 3818 \times 14 + 10 = 53462 \][/tex]
- Expression 3: [tex]\( 3810 \times 14 + 12 \)[/tex]
[tex]\[ 3810 \times 14 + 12 = 53352 \][/tex]
- Expression 4: [tex]\( 3818 \times 14 \times 10 \)[/tex]
[tex]\[ 3818 \times 14 \times 10 = 534520 \][/tex]
3. Compare values:
- [tex]\( 640080 \)[/tex]
- [tex]\( 53462 \)[/tex]
- [tex]\( 53352 \)[/tex]
- [tex]\( 534520 \)[/tex]
- [tex]\( 3818.714285714286 \)[/tex]
Among these values, [tex]\( 53462 \)[/tex] is the closest to the quotient, so:
[tex]\[ 53462 \div 14 \approx 3818.714285714286 \][/tex]
Therefore, the correct expression that equals [tex]\( 53462 \div 14 \)[/tex] is:
[tex]\[ 3818 \times 14 + 10 \][/tex]
