Question

order of operations
to evaluate expressions, use the order of operations.
order of operations

1. multiply and divide in order from left to right.
2. add and subtract in order from left to right.

example find the value of 2 × 8 − 42 ÷ 7 + 4.
2 × 8 − 42 ÷ 7 + 4 = 16 − 42 ÷ 7 + 4 multiply 2 and 8.
= 16 − 6 + 4 divide 42 by 7.
= 10 + 4 subtract 6 from 16.
= 14 add 10 and 4.
show your work on this page. no calculators.
find the value of each expression.

1. 15 + 4 × 5 - 6 2) 9 × 3 + 3 3) 18 ÷ 2 + 9 × 2

1. 4 × 9 − 9 × 4 5) 18 + 3 + 15 ÷ 3 6) 150 ÷ 10 − 3 × 5

1. 45 − 40 + 1 × 2 8) 2 + 4 × 9 ÷ 12 9) 18 ÷ 2 × 9

1. 80 × 2 ÷ 40 − 1 11) 12 × 2 − 5 × 4 12) 25 − 3 × 4

Explanation:

Problem 1: \( 15 + 4 \times 5 - 6 \)

Step 1: Multiply \( 4 \times 5 \)

\( 4 \times 5 = 20 \)

Step 2: Add \( 15 + 20 \)

\( 15 + 20 = 35 \)

Step 3: Subtract \( 35 - 6 \)

\( 35 - 6 = 29 \)

Step 1: Multiply \( 9 \times 3 \)

\( 9 \times 3 = 27 \)

Step 2: Add \( 27 + 3 \)

\( 27 + 3 = 30 \)

Step 1: Divide \( 18 \div 2 \) and Multiply \( 9 \times 2 \)

\( 18 \div 2 = 9 \), \( 9 \times 2 = 18 \)

Step 2: Add \( 9 + 18 \)

\( 9 + 18 = 27 \)

Answer:

\( 29 \)

Problem 2: \( 9 \times 3 + 3 \)