Question

There are 44 ice creams, 23 doughnuts, and 17 yogurts. Jax and Jane count the total in different ways.

Jax counts as: $(44+23)+17$
Step 1: $44+23=\underset{–}{\left(i\right)}$
Step 2: $\underset{–}{\left(i\right)}+17=\underset{–}{\left(ii\right)}$

Jane counts as: $44+(23+17)$
Step 1: $23+17=\underset{–}{\left(iii\right)}$
Step 2: $\underset{–}{\left(iii\right)}+44=\underset{–}{\left(ii\right)}$

Select the correct option and fill in the blanks.

• A. (i) 40 (ii) 67 (iii) 84
• B. (i) 84 (ii) 67 (iii) 40
• C. (i) 40 (ii) 84 (iii) 67
• D. (i) 67 (ii) 84 (iii) 40

Answer 1

The correct option is D (i) 67 (ii) 84 (iii) 40

According to the associative property of addition, the sum of addends remain the same regardless of how they are grouped.
Jax counts as: $(44+23)+17$
Step 1: $44+23=\left(i\right)67$
Step 2: $\left(i\right)67+17=\left(ii\right)84$

Jane counts as: $44+(23+17)$
Step 1: $23+17=\left(iii\right)40$Step 2:$\left(iii\right)40+44=\left(ii\right)84$Hence Option A is correct.