a. 72 Use your factor knowledge to multiply the numbers below by breaking them us first. \( \begin{array}{ll}\text { a. } 266 \times 22 & \text { b. } 1550 \times 130 \\ \text { c. } 424 \times 18 & \text { d. } 622 \times 12\end{array} \) eck your answers by using a calculator.
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The Deep Dive
To tackle these multiplications in a fun way, let's break them down into manageable chunks using factors! For \( 266 \times 22 \), we can break 22 down into \( 20 + 2 \). So, it becomes \( 266 \times 20 + 266 \times 2 = 5320 + 532 = 5852 \). For \( 1550 \times 130 \), let's simplify 130 to \( 100 + 30 \): thus, \( 1550 \times 100 + 1550 \times 30 = 155000 + 46500 = 201500 \). Now for \( 424 \times 18 \): break 18 down into \( 10 + 8 \). This gives \( 424 \times 10 + 424 \times 8 = 4240 + 3392 = 7632 \). Finally, with \( 622 \times 12 \), we can express 12 as \( 10 + 2 \): thus, \( 622 \times 10 + 622 \times 2 = 6220 + 1244 = 7464 \). Don't forget to check those answers on a calculator to verify them!
