1. Use brackets to write the mathematical statements for each of the following:
a. Seven multiplied by the sum of two and eight.
b. Twelve multiplied by the difference of fifteen and nine.
c. Fifty divided by the sum of two and eight.
d. Forty-four divided by the difference of twelve and eight.
2. Simplify each of the expressions written in Q1.
3. Find the product:
a. 7 × 10⁶
b. 16 × 10⁸
c. 10⁸ × 10⁹
d. 10³ × 10⁴
Math Lab Activity
Objective: To learn operations on large numbers.
Materials required: Flash cards numbered 0 to 9.
Procedure: Ask the students to work in pairs.
4. Distribute 2 sets of digit cards (0-9) to each pair. Each student picks 8 cards randomly from the set.
5. Each student forms the largest 8-digit number using the cards picked up.
6. The students will then:
- Write the number names of the two numbers in the Indian system of numeration.
- Write the number names of the two numbers in the International system of numeration.
Answer (2)
Let's go through each part of the question step-by-step to understand and solve it:
Use brackets to write the mathematical statements:
a. Seven multiplied by the sum of two and eight.
The expression is: 7 × ( 2 + 8 )
b. Twelve multiplied by the difference of fifteen and nine.
The expression is: 12 × ( 15 − 9 )
c. Fifty divided by the sum of two and eight.
The expression is: 2 + 8 50
d. Forty-four divided by the difference of twelve and eight.
The expression is: 12 − 8 44
Simplify each of the expressions written in Q1:
a. Simplify 7 × ( 2 + 8 ) :
7 × ( 2 + 8 ) = 7 × 10 = 70
b. Simplify 12 × ( 15 − 9 ) :
12 × ( 15 − 9 ) = 12 × 6 = 72
c. Simplify 2 + 8 50 :
2 + 8 50 = 10 50 = 5
d. Simplify 12 − 8 44 :
12 − 8 44 = 4 44 = 11
Find the product:
a. 7 × 1 0 6
7 × 1 0 6 = 7 , 000 , 000
b. 16 × 1 0 8
16 × 1 0 8 = 1 , 600 , 000 , 000
c. 1 0 8 × 1 0 9
Using the exponent rule a m × a n = a m + n :
1 0 8 × 1 0 9 = 1 0 8 + 9 = 1 0 17
d. 1 0 3 × 1 0 4
1 0 3 × 1 0 4 = 1 0 3 + 4 = 1 0 7 = 10 , 000 , 000
For the math lab activity described, students will use digit cards to form numbers and practice writing them in different naming systems. This helps in understanding large numbers and the numeration systems used in different cultures.
This response covers the use of brackets in mathematical statements, simplifying expressions, calculating products using exponents, and describes a math activity involving the formation of large numbers. Each part is solved step-by-step to ensure clarity. The answer provides a thorough understanding of the operations on large numbers and numeration systems.
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