Write the numerical expressions
Write the numerical expressions in words
100

1a. The sum of 21 and 4, doubled

the sum of 21 and 4 is 21+4

doubled means multiplied by 2

2 x (21 + 4) 

100

2a. 10 x (2.5 + 13.5)

ten times the sum of 2.5 and 13.5

200

1b. 5 times the sum of 7 and 23

5 times is the same as 5 x 

the sum of 7 and 23 is 7 + 23 

5 x (7 + 23) 

200

2b. (98 - 78) x 11

Eleven times the difference between 98 and 78

300

1c. 2 times the difference between 49.5 and 37.5

2 times is 2 x 

the difference between 49.5 and 37.5 is 49.5-37.5

2 x (49.5-37.5)

300

2c. (71 + 29) x 26

Twenty six times the sum of 71 and 29

400

1d. the sum of 3 fifteens and 4 twos

the sum of means add

3 fifteens is 3 x 15

4 twos is 4 x 2 

(3 x 15) + (4 x 2) 

400

3a. 93 x (40 + 2)  _____    (40 + 2) x 39

Explain your answer. 

93 is bigger than 39

So 93 times (40 + 2) will give me a bigger answer than 39 times (40 + 2) 

So the answer is >

500

1e. the difference between 9 thirty-sevens and 8 thirty-sevens

the difference between means subtraction

9 thirty-sevens is 9 x 37

8 thirty-sevens is 8 x 37

(9 x 37) - (8 x 37)

500

3b. 61 x 25 _____ 60 twenty-fives minus 1 twenty-five 

60 twenty-fives is (60 x 25)

1 twenty-five is (1 x 25) 

This is the same as (60 x 25) - (1 x 25) 

Simplified, this is the same as 59 x 25

So 61 x 25  < (60 x 25) - (1 x 25) 

61 x 25 < 59 x 25